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A PhD in Mathematics is the highest academic degree that one can earn in the field of mathematics. The program normally takes four to five years on average, and it includes both coursework and research components. Students who earn a PhD in Mathematics typically go to excel at the highest level of careers such as professors or researchers at universities or other research institutes. The degree can also be beneficial for those who wish to work in the private sector, as many businesses value employees with advanced mathematical skills.

The quality of an online PhD in Mathematics is largely the same as a traditional on-campus PhD mathematics program, only that the online version can be completed entirely online. Students in the program complete most of the coursework and research with no need to attend on-campus classes, safe for a few meetings here and there depending on the university’s planning. The mathematics online PhD program is designed for those who want to earn their doctorate while continuing with their full-time commitments.

Yes. A PhD in Mathematics can be very lucrative in the job market today as many businesses and organizations value individuals with this type of advanced training and education. Professionals with a PhD in Mathematics often find employment in academia, research, or government. They may also work as consultants or private tutors. The earning potential for achievers with a PhD in Mathematics is very high. In fact, many individuals with this type of doctorate degree earn six-figure salaries these days.

This program will essentially widen your career opportunities, both in academics, public and private sectors. In the case of academia, you will spend your career first as a student and then as a professor teaching about your passion. Government organizations and private companies also offer plenty of opportunities for math PhD holders.

According to Glassdoor , the base annual pay for Math PhD holders in the USA, for example, is around 72,568 US dollars, with additional compensation of 23,614 US dollars, totaling 96,182 US dollars. However, the pay varies depending on several factors, including industry, years of experience, and location.

The US Bureau of Labor Statistics predicts that the demand for statisticians and mathematicians will increase by 31 percent over the next decade. The bureau predicts about 4,100 openings each year during this period.

One valuable benefit of a PhD mathematics program is that it allows you to pursue a very wide range of career options. This can be attributed to the fact that the core principles of mathematics, to a large extent, support all sciences.

The most common career paths for PhD in Mathematics holders are education, finance, scientific research, information and communication, government, and manufacturing.

Graduates of this program can easily thrive in following positions which also happen to be the most common.

  • University tutor or professor: Most PhD in math holders end up teaching undergraduate students in the university. PhD students gain connections while studying and researching, and end up teaching in the same university. This path is also ideal for maths PhD online students that prefer to continue focusing on mathematical concepts and theories as part of their career. As a tutor or professor, one is responsible for imparting mathematical knowledge to students and conducting research in the field.
  • Researchers: Some pursue careers as postdoctoral researchers at universities, private companies, or government agencies. This is a popular route because it provides opportunities for undertaking research, supervising others, collaborative work, and attending conferences.
  • Finance: An online PhD in math program equips you with excellent analytical skills; hence, most mathematics PostDocs find a career in finance. This career path involves working with significant players in the financial world with specific job titles such as Risk Modeler, Investment Analyst, or Actuarial Analyst.

The table below shows a list of some of the top positions in this field alongside the corresponding median salaries.

Job Title Description Median Salary
Actuaries A professional who uses mathematics to assess risk and its financial impact on businesses and individuals. Actuaries are employed by insurance companies, banks, and other businesses to help them make sound decisions about risk management. $110,000
Operations Research Analysts An operations research analyst uses mathematical and analytical methods to help businesses improve their efficiency and effectiveness. Operations research analysts are employed in a variety of industries, including manufacturing, healthcare, and transportation. $86,000
Mathematicians A mathematician uses mathematical theories and methods to solve problems in various fields, such as physics, engineering, and business. Mathematicians usually work in research and development positions, and they often teach at universities. $93,000
Statisticians A statistician uses statistical methods to collect and analyze data. Statisticians are employed in a variety of fields, such as market research, medicine, and sports. $90,000
Data Scientists A data scientist uses scientific methods to collect and analyze data from sources such as social media, Internet of Things (IoT), and transactions. $100,000

Please note that these median salaries are not cast in stone. They keep changing from time to time, mostly upwards.

The best Mathematics Online PhD programs

Not all universities that offer a PhD in Mathematics have brought this program online. So this selection is only based on a comprehensive analysis of the universities that are already offering PhD mathematics programs online. Most importantly, e-learning is now embraced widely and any university that is yet to roll-out this new normal will comply sooner or later.

There is even more good news: It’s emerging that the number of students pursuing online learning programs is on the rise. In fact, the United States e-Learning market alone is expected to grow at a CAGR of 12 percent and reach 21.64 billion US dollars in the next few years. This growth plays a revolutionary role that will eventually tilt the higher learning ecosystem and influence many if not all universities and colleges to bring their courses online. Given the way the digital shift has already disrupted even the most rigid industries like manufacturing, it’s only a matter of time before we see a complete disruption across the education sector.

It’s important to note that some online mathematics PhD programs may offer limited topics, research, and dissertation scopes compared to campus-based programs. However, this does not make such programs inferior to the on-campus alternatives. All you need to do is find a program that meets your desires in terms of the career path you would like to pursue.

Here now are the best programs for an online PhD in Mathematics:

The University of Wyoming is a reputable institution that is ranked highly among the best universities by the US News and World Report . It offers online and on-campus bachelor’s, master’s, and doctoral programs.

The Online PhD in Mathematics Education program focuses on mathematical modeling, qualitative research, quantitative reasoning, associated geometry, and differential equations. Students of this program must also complete a preliminary exam and dissertation research in order to be considered for graduation.

Once you complete this online math PhD program, you can pursue a career as a math doctorate advisor, mathematics professor, or elementary education specialist. You can also work in the corporate world or government.

This PhD maths online program takes three years and is accredited by the Higher Learning Commission.

The program’s admission requirements include:

  • Master’s degree
  • GRE scores: 151 (verbal), 144 (quantitative), and 4.0 for analytical writing
  • Three years of P-12 teaching or equivalent relevant professional experience
  • Letter of intent, resume, scholarly writing sample, and three letters of recommendation.
  • Online application
  • Interview with program faculty

Intake dates are as follows:

Spring start

  • Applications are due by September 1st
  • Review of application completed on October 15th
  • Communication of admissions by November 15th

Summer/ Fall start

  • Applications are due by February 1st
  • Review of application completed on March 15th
  • Communication of admissions by April 15th

Bircham International University is committed to fulfilling the needs of students who prefer not to attend traditional on-campus classes. It offers online bachelor’s, master’s, and doctoral degree programs, as well as continuing professional and education diplomas.

The Doctor – Mathematics program evaluates the application of mathematics as a tool for scientists and engineers. It covers geometry, arithmetic, calculus, algebra, trigonometry, set theory, differential equations, and other mathematical topics.

This doctorate in mathematics program is divided into text book and thesis sections. The textbook portion is the largest and constitutes 70 percent whereas the thesis component contributes 30 percent of the program.

Admission requirements include:

  • A master’s degree or an international equivalent with five years of study
  • Copies of transcripts or relevant documents
  • Curriculum Vitae
  • ID card or passport
  • Filled-out application form
  • One ID-sized photo

Students can also transfer credits from other institutions as long as they are recognized by the university.

All the Bibliography books that students will need for the program are covered by the program fees and the University will send these books physically to the address given by the student. The books take anywhere between two to five weeks to arrive depending on your location.

Some of the sources and networks that students will be able to access include the American Mathematical Society, Association of Mathematics Teacher Educators, European Mathematical Society, and the International Council for Industrial and Applied Mathematics among many others.  These are all credible bodies, demonstrating the extent to which the university goes to ensure that students get the very best of mathematical knowledge at the highest level.

The University of Wolverhampton is committed to helping graduates and students thrive locally and beyond. It works closely with businesses in supporting development and innovation with forward-thinking talent.

The PhD Program takes four years under the supervision of academics who are high achievers  in their area of expertise. The school of Computer Science and Mathematics prides itself on its unwavering support to research students in their PhD journey.

PhD research students have the opportunity to develop research skills by participating in training events organized by the faculty and the university’s doctoral college.

Here are the essential entry requirements:

  • First or upper second class degree
  • Masters degree
  • Evidence of learning or practice that is acceptable by the Dean of Research

The  program takes students through two important stages once the student is officially registered. The first stage is known as Progression, where students are required to prepare and submit a summary of their achievements through this period which takes 18 months. Additionally, they need to outline their research plans for the remaining part of the program. This paper should also be presented orally in a workshop format. The final stage is the Examination which is based on the thesis plus an oral examination.

Edith Cowan University (ECU) is a top public institution in Australia offering undergraduate and postgraduate programs. The university understands the different work arrangements, learning styles, locations, and family responsibilities and thus offers loads of online programs to help balance education and other commitments.

The Online Mathematics PhD concentrates on operations research, mathematical modeling, geostatistical modeling, bayesian statistics and modeling, and biostatistics.

The university offers state-of-the-art commuting facilities and emphasizes collaboration with government agencies, the private sector, and non-profit organizations. This program takes a duration of four years.

Entry requirements include:

  • Master’s degree in research
  • First class or upper second class bachelor’s degree
  • Demonstrated capacity to conduct original PhD-level research
  • English competency test

The University of Sussex is a top public research university in the United Kingdom. It was established in 1959 and received its royal charter in 1961. It offers high-class education to over 20,000 students representing more than 140 nationalities.

This Mathematics PhD program covers applied and theoretical mathematics, including geometry and topology, differential equations, mathematical biology, mathematical physics, probability and statistics, scientific computing, and numerical analysis.

The program takes four years for full-time and six years for part-time students. Applicants should submit their applications one month before the start date for UK students and three months before for international students.

Admission requirements:

  • Master’s degree with 60% merit overall
  • Upper second class undergraduate degree
  • English proficiency test for International students

The program’s alumni describe it as the most challenging and rewarding experience. The supervisors are exceptional, which makes a significant contribution to the overall quality of the program as supervisors will always be a key element of any PhD program.

Most professionals agree that mathematics is not just any other field of study, it’s among the most important subjects that in fact acts as a foundation for many other areas of study. A PhD in mathematics, therefore, takes your scholarly value to the pinnacle of this most respected subject.

While demanding,  a PhD in Mathematics is not just another degree to add to your resume. It’s a sign that you have mastered one of the most difficult and challenging fields of study.  And the fact that students can pursue this competitive program online has made it not only easily accessible but also reasonably affordable for all ambitious mathematicians no matter their geographical location in the world.

Yelena Skosyrskih

PHD in Economics, Associate Professor, Department of Business Process Management, Faculty of Market Technologies IOM

2024 Best Online PhD in Mathematics [Doctorate Guide]

Earning a math PhD can be beneficial for many different professional paths. A doctorate in mathematics will encourage you to explore the boundaries of math, and you’ll conduct research in addition to coursework.

Best Online PhD in Mathematics

Additionally, some programs ask students to complete a thesis or dissertation to earn the title of Doctor of Mathematics.

Editorial Listing ShortCode:

Read on to learn more about what a doctorate degree in mathematics entails and determine if it’s the right path for you.

Online Math PhD Programs

Woman taking Online Math PhD

Earning a PhD in Mathematics can be an exciting step for many students. This advanced degree is typically sought out by those who wish to dive deeper into mathematical processes, theory, and research.

Students who earn the title of Doctor of Mathematics are often prepared for a variety of advanced roles in education, STEM fields, and data science and management. In addition to completing core classes, you’ll typically have the opportunity to take courses and complete research that help you complete your dissertation.

A dissertation is often linked to potential career and professional opportunities and studies. Many math PhD programs provide a variety of specialty areas to help students hone in on their area of expertise. Those who graduate with a doctorate degree in mathematics pursue careers in a variety of fields, depending on their area of expertise and research.

Graduates’ advanced skills in understanding numeric principles and mathematical reasoning are applicable to a variety of roles, such as:

  • Actuarial analyst or financial strategist for businesses
  • Academic leader or postsecondary professor
  • Government agency consultant or advisor
  • Researcher in STEM fields

A highly developed understanding of mathematics, research, theory, and their applications can be beneficial in a variety of professional settings. Pursuing a math PhD can help you fine-tune your skills and grow your professional qualifications in this lucrative field.

Math Careers & Salaries

Math Careers & Salaries

Individuals who have earned a PhD in Math often select careers that exercise their skills in reviewing numbers, outcomes, and analyzing information. Many math professionals with a PhD combine their interests with fields such as physics, engineering, or finance.

According to the Bureau of Labor Statistics , here are the median salaries for various careers related to advanced studies in mathematics.

Chief Executives $189,520
Financial Managers $139,790
Actuaries $113,990
Economists $113,940
Mathematicians $112,110
Data Scientists $103,500
Statisticians $98,920
Financial Analysts $95,080
Operations Research Analysts $85,720
Postsecondary Mathematical Science Teachers $77,420

Some mathematics professionals work as analysts, actuaries, or economists, working with businesses or government entities to review figures and review outcome probability. Others pursue work as professors, researchers, or leaders within postsecondary education.

Mathematicians and statisticians are often employed in a variety of fields where an in-depth knowledge of these topics can be important. These fields can include energy production and mining, aerospace and transportation, finance, or pharmaceutical production.

Mathematics Doctorate Curriculum & Courses

students pursuing Mathematics Doctorate working on their thesis

While each school offering a doctorate degree in mathematics will have its own unique curriculum, students will typically encounter courses that encourage their growth.

Some courses that you may encounter while studying for your math PhD include:

  • Linear Algebra : This course involves the process of plotting mathematical problems via vectors and matrices.
  • Ordinary and Partial Differential Equations : In this course, you’ll solve for unknown variables and their derivatives.
  • Probability : At the doctorate level, you’ll take this study of likelihood and chance to a more in-depth, theoretical stage.
  • Geometry and Topology : This course compares the local and global implications of continuous and discrete moduli, and it explores topics such as Riemannian geometry and homotopy theory.
  • Harmonic Analysis : Using the Fourier transform and Fourier series, you’ll explore functions and frequency.
  • Estimation Statistics : Students will combine a variety of factors to create and conduct experiments that allow them to analyze incomplete data.
  • Graph Theory : This course provides the opportunity to study graphs and the relationship of multiple pieces of data to each other.
  • Mathematical Analysis : In this course, you’ll use both real and complex numbers to explore scenarios involving continuous and analytic functions, limits, infinite sequences, and other mathematical objects.
  • Algebraic Combinatorics : Students will explore enumeration, permutation, partitions, sets, and cycles to investigate the world of abstract algebra.
  • Operator Theory : This course involves a deep dive into linear operators on function spaces, including the study and analysis of various operators.

Your interests, dissertation, and overall goals will typically influence which courses you choose. It can be beneficial to review each program’s curriculum before you decide on a school.

Admissions Requirements

Man preparing requirements for PhD in Mathematics

Each college or university will have its own set of admissions requirements for students applying for their PhD in Mathematics. It’s beneficial to review the application process in full before starting.

Some of the items required by many mathematics doctorate programs include:

  • GRE or GMAT Scores (only some schools require them)
  • Transcripts of previous education
  • Master’s degree in a related field
  • CV or resume
  • Statement of intent

In addition, you will likely be asked to provide academic writing samples as well as letters of recommendation. You may be asked to complete an interview with department staff, too.

Accreditation

University offering PhD in Mathematics online

When researching schools that offer a PhD in Math online, you may wish to give special attention to schools that hold regional accreditation.

Accredited schools have been carefully evaluated for their academic precedence. As a result, employers often prefer or require candidates to have received their doctorate in mathematics from an accredited institution. Credible regional accrediting organizations are recognized by the Council for Higher Education Accreditation. You can visit CHEA’s website to verify a school’s accreditation status.

Additionally, benefits such as financial aid, certification, and membership to professional organizations may be tied to earning your doctoral degree from an accredited institution.

Financial Aid and Scholarships

PhD in Mathematics Financial Aid

If you are interested in needs-based financial aid, you could fill out and submit the FAFSA, or Free Application for Federal Student Aid . This determines your eligibility for federal financial aid. Most state aid programs want to see your FAFSA results as well.

You could also inquire about scholarship opportunities through the school you choose to attend. Many programs offer financial assistance for students based on prior academic performance, chosen specialty, or demographic factors. Your employer may also offer an educational assistance program, such as tuition reimbursement, for workers who are furthering their education.

In addition, some independent parties, corporations, and communities offer scholarship or grant opportunities for doctoral students. The requirements for these scholarships vary and are often as unique as the gifts themselves.

What Can You Do with an Online PhD in Mathematics?

Financial Manager preparing business activity reports

A Doctor of Mathematics degree is designed for those who wish to complete in-depth research and exploration of the various expressions of mathematics in our world.

Those who earn this degree may wish to work in educational, research-driven, financial, economic, or technological fields. They may also choose to work in a variety of STEM-related fields, in areas such as energy, software, corporate, government, and aerospace.

Common career paths for advanced mathematics professionals include mathematician, statistician, actuary, economist, data scientist, and operations research analyst. Those with a PhD may also pursue teaching or research roles in colleges and universities.

How Long Does It Take to Get a PhD in Math Online?

Woman taking PhD in Math Online

It often takes between 3 to 5 years of full-time study to complete a PhD program. Your overall timeframe, though, could depend on the program you select and your enrollment status.

In many cases, the number of required credit hours combined with the dissertation process will dictate how long it takes to receive your degree. If a doctorate program does not have a dissertation requirement, a full-time student can typically complete the program in 3 years.

You may wish to compare programs’ course catalogs to understand the program structure and course schedule of each school you’re considering.

What’s the Difference Between Applied Mathematics vs. Mathematics PhD Programs?

There are many similarities between the topics studied in a PhD program in applied mathematics versus a PhD program in mathematics. The area of concentration for each program differs a bit in practice.

In each program, students are able to test theories, produce research, and examine principles, though the motivation and results may vary.

Is a Math PhD Degree Worth It?

Data scientists evaluating results of their research

Yes, a math PhD degree is worth it for many students. Math professionals can use their skills in a variety of areas, including finance, engineering, technology, education, and business.

According to the Bureau of Labor Statistics, overall employment for math occupations is projected to grow by 29% over the next ten years. This is much faster than the average for all occupations. Common math careers include actuaries, data scientists, mathematicians, statisticians, and operations research analysts. A PhD can also help you qualify for positions in research and academia.

Universities Offering Online Doctorate in Mathematics Degree Programs

Methodology: The following school list is in alphabetical order. To be included, a college or university must be regionally accredited and offer degree programs online or in a hybrid format.

Indiana University Bloomington

Indiana University – Bloomington offers a Doctor of Education in Curriculum and Instruction with a specialization in Mathematics Education. This degree is intended for individuals who have already obtained a master’s in a related field. The curriculum consists of 60 credits, and courses meet online. It covers topics like teaching methods, mathematical thinking, student assessment, and research skills.

Indiana University – Bloomington is accredited by the Higher Learning Commission.

Montana State University

Montana State University offers a Doctor of Philosophy in Mathematics (Education Emphasis). This program is designed for those who wish to pursue careers in K-12 educational settings. Potential courses include Principles of Mathematical Analysis, Models of Assessment in Mathematics, and Applied Educational Research. The completion of at least 60 credits is required to graduate.

Montana State University is accredited by the Northwest Commission on Colleges and Universities.

University of Colorado - Denver

The University of Colorado – Denver offers a Doctor of Philosophy in Education and Human Development with a concentration in Mathematics Education. The curriculum is designed to teach the skills required to excel in diverse educational environments. The program utilizes a blend of online and on-campus delivery methods. The program’s 75 required credit hours can typically be completed in 4 to 8 years.

The University of Colorado – Denver is accredited by the Higher Learning Commission of the North Central Association of Colleges and Schools.

University of Wyoming

The University of Wyoming offers a Doctor of Philosophy in Mathematics Education. This program is designed to prepare students for work as scholar-leaders in settings like research institutions and universities. It can be completed entirely online. The curriculum consists of 81 credit hours and covers key concepts like multicultural education, curriculum development, learning and cognition, and assessment.

The University of Wyoming is accredited by the Higher Learning Commission.

Getting Your PhD in Mathematics Online

student getting PhD in Mathematics online

In our technological and solution-driven world, the horizons and practical applications of mathematics are expanding daily.

A math PhD program could help you grow your professional qualifications in this lucrative field. Much like with a masters in mathematics online  program, earning a PhD in Mathematics online could be a more flexible and convenient format for working professionals. The professional applications of an advanced mathematics degree are diverse. Many graduates use their PhD to advance in research, academia, business, or other areas of industry.

You could start exploring accredited schools today to see which online math PhD programs best align with your interests, schedule, and goals.

phd math online

Ph.D. Program

Degree requirements.

In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.

  • Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics
  • Pass the six-hour written Preliminary Examination covering calculus, real analysis, complex analysis, linear algebra, and abstract algebra; students must pass the prelim before the start of their second year in the program (within three semesters of starting the program)
  • Pass a three-hour, oral Qualifying Examination emphasizing, but not exclusively restricted to, the area of specialization. The Qualifying Examination must be attempted within two years of entering the program
  • Complete a seminar, giving a talk of at least one-hour duration
  • Write a dissertation embodying the results of original research and acceptable to a properly constituted dissertation committee
  • Meet the University residence requirement of two years or four semesters

Detailed Regulations

The detailed regulations of the Ph.D. program are the following:

Course Requirements

During the first year of the Ph.D. program, the student must enroll in at least 4 courses. At least 2 of these must be graduate courses offered by the Department of Mathematics. Exceptions can be granted by the Vice-Chair for Graduate Studies.

Preliminary Examination

The Preliminary Examination consists of 6 hours (total) of written work given over a two-day period (3 hours/day). Exam questions are given in calculus, real analysis, complex analysis, linear algebra, and abstract algebra. The Preliminary Examination is offered twice a year during the first week of the fall and spring semesters.

Qualifying Examination

To arrange the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Advisor (Dissertation Chair), someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective advisor, the student forms an examination committee of 4 members.  All committee members can be faculty in the Mathematics Department and the chair must be in the Mathematics Department. The QE chair and Dissertation Chair cannot be the same person; therefore, t he Math member least likely to serve as the dissertation advisor should be selected as chair of the qualifying exam committee . The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval, it is to be circulated to all faculty members of the appropriate research sections. The Qualifying Examination must cover material falling in at least 3 subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be reviewed online or in 910 Evans Hall. The student must attempt the Qualifying Examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student's examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student's entrance into the PhD program. For a student to pass the Qualifying Examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student.

PhD Program

More information and a full list of requirements for the PhD program in Mathematics can be found in the University Bulletin .

During their first year in the program, students typically engage in coursework and seminars which prepare them for the  Qualifying Examinations .  Currently, these two exams test the student’s breadth of knowledge in algebra and real analysis. 

Starting in Autumn 2023, students will choose 2 out of 4 qualifying exam topics: 

  • real analysis
  • geometry and topology
  • applied mathematics

Course Requirements for students starting prior to Autumn 2023

To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297.

Within the 27 units, students must satisfactorily complete a course sequence. This can be fulfilled in one of the following ways:

  • Math 215A, B, & C: Algebraic Topology, Differential Topology, and Differential Geometry
  • Math 216A, B, & C: Introduction to Algebraic Geometry
  • Math 230A, B, & C: Theory of Probability
  • 3 quarter course sequence in a single subject approved in advance by the Director of Graduate Studies.

Course Requirements for students starting in Autumn 2023 and later

To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297. The course sequence requirement is discontinued for students starting in Autumn 2023 and later.

By the end of Spring Quarter of their second year in the program, students must have a dissertation advisor and apply for Candidacy.

During their third year, students will take their Area Examination , which must be completed by the end of Winter Quarter. This exam assesses the student’s breadth of knowledge in their particular area of research. The Area Examination is also used as an opportunity for the student to present their committee with a summary of research conducted to date as well as a detailed plan for the remaining research.

Years 4&5

Typically during the latter part of the fourth or early part of the fifth year of study, students are expected to finish their dissertation research. At this time, students defend their dissertation as they sit for their University Oral Examination. Following the dissertation defense, students take a short time to make final revisions to their actual papers and submit the dissertation to their reading committee for final approval.

Throughout the PhD Program

All students continue through each year of the program serving some form of Assistantship: Course, Teaching or Research, unless they have funding from outside the department.

Our graduate students are very active as both leaders and participants in seminars and colloquia in their chosen areas of interest.

phd math online

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Best Online Doctorates in Mathematics: Top PhD Programs, Career Paths, and Salary

An online PhD in Mathematics can land you a job as a math education specialist, data scientist, or information technology professional. If you prefer theoretical, dissertation, and course-based doctoral programs, then our list of the best online PhD in Mathematics is for you.

This list of PhD in Mathematics degree programs includes information technology, education, statistics, and data science postgraduate degrees with advanced mathematics components. Keep reading to find out what schools offer these programs, the course curriculum, acceptance rates, highest-paying mathematics jobs for PhD grads, and tuition rates.

Find your bootcamp match

Can you get a phd in mathematics online.

Yes, you can get a PhD in Mathematics online. However, finding online doctoral programs primarily focused on statistics, mathematics, or applied mathematics is rare. An online PhD route is apt for students looking to pursue information technology, education, or analytics-based mathematics fields.

Earning an online PhD in Information Technology allows you to advance your education in topics covering discrete mathematics, algorithms, and quantitative methods. An online PhD in Mathematics focuses on core graduate courses with a theoretical research and dissertation process. Some academic programs have a residency component required either on-site or online.

Is an Online PhD Respected?

Yes, an online PhD is respected. Online PhD programs are often considered untraditional, course-based doctoral programs, but they are currently seeing rising popularity and are on par with the curriculum of a campus-based program. Your opportunities for career advancement coincide with an on-campus PhD.

However, an online PhD in Mathematics offers limited research, topics, and dissertation scopes and can limit your career possibilities. Breaking into a mathematics academia or research profession with an online PhD can be difficult.

If you want to pursue a traditional mathematics PhD where subjects include metric space, differential geometry, algebra, and calculus, then an on-campus program is for you.

What Is the Best Online PhD Program in Mathematics?

The best online PhD program in mathematics is a PhD in Mathematics Education. This program focuses on the mathematics curriculum and educational management to help you enter the academic field. You will learn mathematical thinking , qualitative and quantitative research, geometry, and mathematical modeling.

The online math PhD programs discussed in this article cover mathematical subject areas and are more apt for those looking to enter the business, data, or tech fields. You can apply to Stanford University, Columbia University, or Harvard University to find the best in-person mathematics PhDs.

Why the University of Wyoming Has the Best Online PhD Program in Mathematics

University of Wyoming has the best mathematics PhD program because it offers an affordable and reputable online mathematics education doctorate program. This program provides in-depth coverage of mathematics and qualifies you for research or post-secondary positions in the field.

Best Online Master’s Degrees

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Online PhD in Mathematics Admission Requirements

The admission requirements of an online PhD in Mathematics include educational qualifications, GPA, and professional experience components. Universities require doctoral students to earn a 3.0 or higher GPA and have a master’s or bachelor’s degree from an accredited institution.

PhD programs from the accredited institutions in this article also require two to three letters of recommendation, a resume, and graduate courses covering math education.

Depending on the school, you might also need to submit GRE and GMAT scores and proof of three to five years of relevant professional experience. Some schools also require candidates to complete a doctoral interview that discusses their interests in the program.

  • 3.0 or higher GPA and a relevant undergraduate degree or master’s degree
  • Official transcripts from all attended universities
  • GRE and GMAT scores
  • Resume, personal statement, and letters of recommendation
  • Financial assistance application
  • Doctoral interview with program faculty
  • Prerequisites for graduate courses providing a math education
  • Proof of three to five years of professional experience in math, statistics, or a relevant field

Best Online PhDs in Mathematics: Top Degree Program Details

School Program Estimated Length
Capella University PhD in Information Technology 4 years and 9 months
Capitol Technology University PhD in Business Analytics and Data Science 3 years
City University of Seattle PhD in Information Technology 4 to 5 years
Colorado Technical University PhD in Computer Science with a Concentration in Big Data Analytics 3 years
Grand Canyon University DBA in Data Analytics Around 3 years
Iowa State University PhD in Information Systems and Business Analytics 5 years
Northcentral University PhD in Data Science 3 years and 4 months
Texas A&M University PhD in Curriculum and Instruction, Emphasis in Mathematics Education 4 years
University of Central Florida PhD in Education 3 years
University of Wyoming PhD in Mathematics Education 3 years

Best Online PhDs in Mathematics: Top University Programs to Get a PhD in Mathematics Online

The top university programs to get a PhD in Mathematics are offered at prestigious institutions like Texas A&M, Northcentral University, and the University of Wyoming. Below is a list of the best online PhDs in Mathematics, along with their program descriptions, tuition costs, and admission requirements.

This list of online PhDs in Mathematics covers a wide range of subject areas, including information technology, data science, education, and business analytics, all of which encompass mathematics topics to help you further your career in math and tech-based professions.

Capella University is a private online university founded in 1993. Its online academic degrees are catered toward adult learners and busy professionals looking to get a higher education. It offers programs covering business, information technology, psychology, education, nursing, and health science fields. 

PhD in Information Technology

If you’re interested in furthering your education in information technology with an integrated capstone project and in-field curriculum, then this degree is for you. The program includes 70 online courses covering tech research and quantitative analysis topics and allows the transfer of 12 credits. 

This program has courses on assurance controls, tech consulting, quantitative design, and complex adaptive systems. This doctoral degree program can help you enter mathematical and tech research fields. You must also complete two virtual residencies and one dissertation focusing on risk management, data science processes , or advanced computing systems. 

PhD in Information Technology Overview

  • Accreditation: Higher Learning Commission
  • Program Length: Maximum 4 years 9 months
  • Acceptance Rate: N/A
  • Tuition and Fees: $750/credit per quarter; $175 resource kit fee; $3,000/capstone per quarter

PhD in Information Technology Admission Requirements

  • $50 application fee
  • Transcripts from all attended universities
  • Master’s degree from an accredited university
  • Minimum 3.0 GPA

Capitol Technology University was established in 1927 and is a private accredited institution offering both on-campus and online degrees. It is regionally recognized as a top STEM field university and offers online bachelor's, master's, and doctoral programs. Prospective students can apply for online programs in engineering management, cyber security, computer science, product management, or artificial intelligence.

PhD in Business Analytics and Data Science

This business analytics and data science doctorate degree is apt for statisticians wanting to venture into leadership positions in data or business. Although this is an online-based program, it still requires campus visits for its residency course, oral defense, and dissertation presentation. 

The curriculum includes applied statistics, quantitative methods, big data warehousing, applied research, and economic management. You can land lucrative statistician jobs at top companies or pursue a career in data research. 

PhD in Business Analytics and Data Science Overview

  • Accreditation: Middle States Commission on Higher Education
  • Program Length: 3 years
  • Tuition and Fees: $933 plus fees/credit for 2022 to 2023 academic year

PhD in Business Analytics and Data Science Admission Requirements

  • Essay, relevant experience, and skills covering business analytics and data science 
  • Two letters of recommendation
  • Resume showcasing a minimum of five years of industry-relevant work experience
  • Undergraduate or master’s degree
  • Official college transcripts

City University of Seattle specializes in providing flexible degree programs apt for adult education. It was founded in 1973 and offers more than 65 degree and certification programs. Prospective students can enroll in its advanced online degrees covering business, project management, computer systems, or education administration. 

Several industry professionals in information technology or computer science have extensive math education. This PhD is an excellent choice for graduate students wanting to build a career in instructional technology, computer science research, or another STEM field. 

It offers cyber security, data science, artificial intelligence, or cloud computing concentrations. The data science specialization is best suited for students wanting to get theoretical and hands-on experience across math subjects. 

Some of its core courses in advanced math education cover discrete math, evidence-based practices, quantitative research, computing algorithms, and differential equation topics. The degree also requires research, a dissertation, and a residency in computer science and research. 

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  • Accreditation : Northwest Commission on Colleges and Universities
  • Program Length: 4 to 5 years
  • Tuition and Fees: $765/credit
  • Background in programming, database management, operating systems, or networking
  • Resume showcasing more than two years of tech-based experience
  • 400 to 600-word goal statement
  • Three references and their contact information
  • Admissions statement questions form
  • Interview with the program faculty

Colorado Technical University offers online and on-campus programs in business, mechanical engineering, criminal justice, computer science, educational administration, and nursing education. It was founded in 1965 and currently has a robust online advanced degree program. It offers more than 80 programs to its online students. 

PhD in Computer Science with a Concentration in Big Data Analytics

According to PayScale reports, the average salary of a lead data scientist is $135,887 per year. This doctoral degree provides you with the leadership skills and hands-on experience needed to land lead data scientists’ or other senior tech positions. The degree requires you to fulfill its curriculum, residency, dissertation process, and required credit hours. 

Some of its core courses include advanced quantitative analysis, research methods, big data analysis, information systems, and business intelligence. 

PhD in Computer Science with a Concentration in Big Data Analytics Overview

  • Tuition and Fees: $598/credit

PhD in Computer Science with a Concentration in Big Data Analytics Admission Requirements

  • Contact an admissions officer
  • Online application
  • Background in research, theoretical, or other relevant fields
  • Contact program faculty to find other requirements
  • Doctoral interview

Grand Canyon University is an accredited school founded in 1949. It is home to over 23,500 on-campus students and provides education to more than 90,000 working adult students through its online schools as of 2021. 

Some of its popular online programs include graphic design, communication, business administration, information systems, education administration, health sciences, and data science topics. Its online options offer both undergraduate and postgraduate degrees. 

DBA in Data Analytics 

If your career goals involve business or data analytics, then this DBA will help you get your dream job in data analytics . It focuses on quantitative research and math education and includes data complexity, business administration, financial management, and research design courses. 

Its residency and dissertation process requires you to pursue research in statistical mechanics, quantitative analytics, and data science topics. You can also opt to attend its on-campus evening classes instead of its online option. 

DBA in Data Analytics Overview

  • Accreditation: Higher Learning Commission 
  • Program Length: 150 weeks 
  • Acceptance Rate: 73%
  • Tuition and Fees: $715/credit

DBA in Data Analytics Admission Requirements

  • 3.4 or above GPA is preferred, with 3.0 as the minimum GPA
  • MBA or business-related graduate degree
  • Official transcripts of all universities attended

Iowa State University is recognized as one of the flagship public schools with a total undergraduate enrollment of 26,846 students for its fall 2020 cohort. According to US News & World Report, Iowa State University ranks 122 among the best national universities and 45 in the best undergraduate engineering programs.

PhD in Information Systems and Business Analytics 

This tech and business doctoral degree is apt for students looking for career advancement across organizational leadership, computer science academia, or business intelligence management fields. The degree map incorporates dissertation research, oral defense, and advanced degrees. 

You will learn financial management , information technology research, business analytics, and organizational leadership. Some of its math-based courses include applied statistics, logistics, differential equations, and economics. 

PhD in Information Systems and Business Analytics Overview

  • Program Length: 5 years
  • Tuition and Fees: $6,491/semester (in state); $14,490/semester (out of state) for fall 2021 and spring 2022

PhD in Information Systems and Business Analytics Admission Requirements

  • Master’s degree preferred but not required
  • Statement of purpose, CV, and college transcripts
  • GMAT scores preferred, 600 minimum or equivalent GRE Scores
  • Three letters of recommendation
  • A writing sample relevant to the doctorate subject

Northcentral University is a private institution founded in 1996 and offers undergraduate, master's, and doctoral-level online programs. Its doctoral programs are fully online and do not include any physical residency requirements. You can choose to enroll in business administration, health sciences, education law, elementary education, technology, or public administration online programs.  

PhD in Data Science

According to the US Bureau of Labor Statistics, the job outlook for data scientists is 22 percent between 2020 to 2030 . The high job outlook makes a data science doctoral degree investment highly profitable. It’s a research-based program that includes 20 courses in subjects like data warehousing, information systems, and data science theories. 

PhD in Data Science Overview

  • Program Length: 3 years 4 months
  • Tuition and Fees: $68,560/program

PhD in Data Science Admission Requirements

  • Academic evaluation with an enrollment advisor

Texas A&M University is a public school that was established in 1876. It has a large student population with a fall 2021 enrollment of 73,284 students. Its distance learning school offers 104 undergraduate degrees, certificates, and graduate programs. Distance learners can enroll in public administration, education law, public health, criminal justice, or engineering programs.

PhD in Curriculum and Instruction, Emphasis in Mathematics Education 

If you want to become a professor or enter the elementary education sector, then this online doctoral degree in mathematics is for you. It helps you become an education specialist in mathematics. The degree plan requires you to complete a dissertation, curriculum development, research, and core credits. 

Its courses include statistical analysis, qualitative and quantitative research, theories of education, categorical data analysis, and linear models. Some other career prospects include math education administration, data science, or statistical analytics fields. 

PhD in Curriculum and Instruction, Emphasis in Mathematics Education Overview

  • Accreditation: Southern Association of Colleges and Schools, Commission on Colleges
  • Program Length: 4 years 
  • Tuition and Fees: $4,254/semester (in state); $9,019/semester (out of state) fall 2022 or spring 2023 for 9 credit hours per semester

PhD in Curriculum and Instruction, Emphasis in Mathematics Education Admission Requirements

  • $89 application fee for online application
  • Departmental essays 
  • Three letters of reference

University of Central Florida is a public research institution founded in 1963. The school is best known for its engineering, computer science, public administration, and programs in education. According to US News & World Report, the University of Central Florida is among the top public schools and ranks 15 among the most innovative schools .

PhD in Education

This online PhD in Education offers course tracks across educational psychology, English, instructional design, empirical research, social science, and K-8 mathematics. If your career goals involve being in fields like education policy, education administration, or math education, then this degree is for you. 

It requires you to complete research electives, a dissertation, and 18 credit hours of core courses. It helps you master evidence-based decisions, teacher education administrative tasks, and curriculum development skills. 

PhD in Education Overview

  • Tuition and Fees: $327/credit (in state); $1,151/credit (out of state)

PhD in Education Admission Requirements

  • Speak with a graduate program success coach
  • GMAT or GRE scores
  • Transcripts from all universities attended
  • Immunization forms
  • Residency class form
  • Contact program faculty for other requirements

University of Wyoming is among the reputable national universities and offers both on-campus and online bachelor's, master's, and doctoral programs. According to US News & World Report, the University of Wyoming ranks 196 among the best national universities and number 99 in the top public schools. 

Its online students can choose from its accounting, education policy, public administration, education law, finance, or nurse practitioner certificate or degree programs.

PhD in Mathematics Education

This math education doctoral degree focuses on qualitative research, mathematical modeling, quantitative reasoning, differential equations, and associated geometry topics. It also requires you to complete dissertation research and a preliminary exam. 

You can use this degree to venture into mathematics professor, math doctorate degree advisor, or elementary education specialist professions. 

PhD in Mathematics Education Overview

  • Tuition and Fees: $7,182/year (in state); $18,324/year (out of state) for 18 credits per academic year

PhD in Mathematics Education Admission Requirements

  • GRE Scores: 144 quantitative, 151 verbal, 4.0 analytical writing
  • Master’s degree
  • Three years of P-12 teaching or other relevant professional experience
  • Meet residency and academic status requirements
  • Letter of intent, three letters of recommendation, an academic writing sample, and a resume

Online Mathematics PhD Graduation Rates: How Hard Is It to Complete an Online PhD Program in Mathematics?

It is extremely hard to complete an online PhD program in mathematics. This is due to the advanced core courses, extensive research, and dissertation process requirements. Several mathematics online PhDs tend to branch into difficult subjects covering information technology, data science, or business analytics .

This requires doctoral candidates to have an extensive background in technical and advanced mathematics subjects. The timeline and approval aspects of a PhD are also demanding, leading to high attrition rates.

How Long Does It Take to Get a PhD in Mathematics Online?

It takes about four years to get a PhD in Mathematics online. However, the exact time duration can range anywhere from three to six years, depending on the candidate and program requirements. Doctoral students with transfer credit hours can complete the degree in a shorter time frame.

Students who fail to meet their dissertation process requirements or get early approval for their research topics will finish their degrees in a longer time frame. Online PhDs are catered toward full-time professionals or adult learners by offering a flexible schedule. Those who take fewer credit hours and opt for a flexible schedule will increase their degree timeline.

How Hard Is an Online Doctorate in Mathematics?

An online Doctorate in Mathematics is extremely hard. It incorporates an array of advanced subject areas and dissertation topic possibilities. The best online mathematics PhDs are offered in information technology, data science, or business analytics fields. All of these subject areas require technical knowledge and extensive research commitment and self-discipline.

Best PhD Programs

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What Courses Are in an Online Mathematics PhD Program?

The courses in an online mathematics PhD program include mathematical modeling, statistics, quantitative reasoning, and discrete mathematics. Depending on your choice of a doctoral program, your core courses might also include curriculum development, data analytics, programming languages , or financial analysis.

Regardless of the primary PhD concentration, the mathematics components of the degree will help you master advanced applied math topics.

Main Areas of Study in a Mathematics PhD Program

  • Data science
  • Differential equations
  • Mathematics curriculum development
  • Business analytics
  • Quantitative and qualitative research
  • Discrete mathematics

How Much Does Getting an Online Mathematics PhD Cost?

It costs $19,314 per year to get a PhD in Mathematics, according to the National Center of Education Statistics (NCES). Your online PhD tuition rates will typically range in this area but will vary from one university program to another.

NCES further reports the graduate tuition of private institutions from 2018 to 2019 was $25,929 and for public institutions was $12,171. This disparity in tuition costs is also present in online PhDs in Mathematics.

How to Pay for an Online PhD Program in Mathematics

You can pay for an online PhD program in mathematics by applying for doctoral funding programs, scholarship opportunities, or education loan financing. You can also apply for an employee sponsorship program at your workplace.

The online aspect of the PhD limits student exposure to research opportunities and graduate assistantships. You can still get in touch with a university representative to find potential internal funding opportunities, though. Doctoral students can also apply for external funding available for math programs.

How to Get an Online PhD for Free

You cannot get an online PhD for free. However, PhDs and other advanced degrees may be eligible for fully-funded scholarships, depending on the student applying for them. You can apply for university or external scholarships to fully fund your PhD, but the chances of getting a full-tuition grant are low for online programs.

What Is the Most Affordable Online PhD in Mathematics Degree Program?

The most affordable online PhD in Mathematics degree program is offered by the University of Central Florida for $18,675. The school’s PhD in Education charges $327.32 per credit hour and consists of 51 to 57 credits for the program.

Most Affordable Online PhD Programs in Mathematics: In Brief

School Program Tuition
University of Central Florida PhD in Education $327.32 per credit
University of Wyoming PhD in Mathematics Education $7,182 per year
Texas A&M University PhD in Curriculum and Instruction, Emphasis in Mathematics Education $4,254 per semester
Iowa State University PhD in Information Systems and Business Analytics $6,491 per semester
Grand Canyon University DBA in Data Analytics $7,145 per credit

Why You Should Get an Online PhD in Mathematics

You should get an online PhD in Mathematics because it will help you land lucrative positions in post-secondary education, management, or research. A PhD is highly respected and showcases your expertise in advanced applied mathematics topics.

Top Reasons for Getting a PhD in Mathematics

  • Multifaceted career outcome opportunities. An online PhD in Mathematics covers technical and non-technical subjects, including computer science, data analytics, education management, and applied mathematics. This opens up career possibilities across several in-demand industries.
  • Specialized skills. Mathematics PhDs help you acquire specialized skills in quantitative research, statistical analytics, and discrete mathematics. These skills are highly demanded in the data, research, artificial intelligence, and business industries.
  • Higher salaries. These doctoral programs also qualify you for senior roles. Senior-level roles offer higher salaries and an increased earning potential.
  • High job security. The US Bureau of Labor Statistics notes that the job outlook for computer and information research scientists is 22 percent between 2020 to 2030. Several online mathematics PhDs will qualify you for jobs under these tech occupations and provide you with a high job security rate.

Best Master’s Degree Programs

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What Is the Difference Between an On-Campus Mathematics PhD and an Online PhD in Mathematics?

The difference between an on-campus mathematics PhD and an online PhD in Mathematics the core course topics and research potential. The career outcomes of these types of degrees also vary depending on your choice of program. Below are the key differences between an on-campus vs an online mathematics PhD program.

Online PhD vs On-Campus PhD: Key Differences

  • Tuition affordability. An online PhD in Mathematics is typically less expensive compared to an on-campus PhD. However, although an on-campus degree is more costly, there are more funding opportunities.
  • More math concentrations. There aren’t many mathematics concentrations in an online program compared to in-person degrees. Most online programs offer information technology, data science, or education focused on advanced math subjects.
  • Research scopes. The research topic scopes in an on-campus program are more practical, unlike dissertation-based online PhDs.
  • Socialization opportunities. An on-campus PhD offers ample socialization opportunities and easy access to the program faculty and financial aid offices. This is more difficult for online doctoral students.

How to Get a PhD in Mathematics Online: A Step-by-Step Guide

Mathematical formulas written on a white piece of paper.

To get a PhD in Mathematics online, you need to fulfill the school’s admissions prerequisites and program requirements. Below are the five main steps required to complete an online PhD in Mathematics.

You must pay the application fee, upload official transcripts, and fill out the application questionnaire. You will also submit all proof of professional experience, letters of recommendation, resumes, and personal statements. 

The admissions requirements section is where you complete a doctoral interview with the program faculty. The requirements for this interview will vary from school to school. You will discuss degree outcomes, passions, and financial payment plans during the interview.

The third step is to contact your program advisor and discuss the degree timeline and requirements. You will discuss potential research and dissertation topics.

Next, you must complete all core courses. The courses will vary depending on your major, but it is crucial to complete them to graduate both successfully and on time.

The last step is to complete your research, residency, and dissertation process. This step requires prior approval from the program’s doctoral faculty. 

Online PhD in Mathematics Salary and Job Outlook

The salary and job outlook for online mathematics PhDs will vary by industry, profession, and degree concentration. The salary can range from $79,640 to $110,000 per year, and the job growth rate can go as high as 33 percent.

What Can You Do With an Online Doctorate in Mathematics?

With an online Doctorate in Mathematics, you can become a research analyst , mathematics professor, statistician, or data scientist. You can also enter higher education management, data analytics, quantitative research, or finance analytics professions. The career possibilities with an online Doctorate in Mathematics are countless and cover many industries.

Best Jobs with a PhD in Mathematics

  • Mathematics Professor
  • Statistician
  • Operations Research Analyst
  • Mathematician
  • Data Scientist

Potential Careers With a Mathematics Degree

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What Is the Average Salary for an Online PhD Holder in Mathematics?

The average salary for PhD in Mathematics holders is $110,000 per yea r, according to PayScale. However, your salary range will vary depending on your choice of profession. Education sector professions often offer lower average salaries compared to information technology or data science sectors.

Highest-Paying Mathematics Jobs for PhD Grads

Online Mathematics PhD Jobs Average Salary
Data Scientist
Statistician
Mathematician
Operations Research Analyst
Mathematics Professor

Best Mathematics Jobs for Online PhD Holders

The best mathematics jobs for online PhD holders opens up opportunities across the research, data, analytics, or information technology fields. Below are the highest-paying jobs you can apply for with your online PhD in Mathematics.

A data scientist is responsible for analyzing, visualizing, and sorting raw data into useful information. They can work in a wide range of industries and work to extract useful data for optimal business operations or scientific results. 

  • Salary with a Mathematics PhD: $100,910
  • Job Outlook: 22% job growth from 2020 to 2030
  • Number of Jobs: 33,000
  • Highest-Paying States: Oregon, Arizona, Texas

A statistician is a mathematics and data science professional who uses quantitative and qualitative research in surveys to find valuable information. They are responsible for designing, conducting, and analyzing each quantitative survey. 

  • Salary with a Mathematics PhD: $96,280
  • Job Outlook: 33% job growth from 2020 to 2030
  • Number of Jobs: 44,800
  • Highest-Paying States: New York, Connecticut, Massachusetts 

A mathematician conducts research on theoretical mathematical principles to advance the mathematics, physics, engineering, data science, or economics fields. They work with mathematical modeling, statistical analysis, and quantitative reasoning to study mathematics. 

  • Highest-Paying States: District of Columbia, New York, New Jersey

An operations research analyst is responsible for evaluating an organization’s operations and production plan and must suggest further productivity solutions. They use data analytics, mathematics, quantitative and qualitative research, and statistics for their jobs. 

  • Salary with a Mathematics PhD: $82,360
  • Job Outlook: 25% job growth from 2020 to 2030
  • Number of Jobs: 104,100
  • Highest-Paying States: Virginia, Alabama, Maryland

A mathematics professor works at post-secondary educational institutions and develops the course curriculum, assignments, and exams to test students in their knowledge and comprehension. They teach introductory and advanced math classes to college students and can also lead research departments. 

  • Salary with a Mathematics PhD: $79,640
  • Job Outlook: 12% job growth from 2020 to 2030
  • Number of Jobs: 1,276,900
  • Highest-Paying States: California, Rhode Island, Oregon

Is It Worth It to Do a PhD in Mathematics Online?

Yes, it is worth it to do a PhD in Mathematics online. Mathematics online PhDs cover subject areas that open up career opportunities in lucrative sectors of academics, business, data science, and tech.

PhD programs are worth it for doctorate students looking to earn a higher salary and achieve increased job security. Mathematics doctoral programs qualify you for many high-paying jobs, including university professor, research analyst, and mathematician.

Additional Reading About Mathematics

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Online PhD in Mathematics FAQ

Online mathematics PhDs cover courses in applied mathematics, discrete mathematics, statistics, quantitative research, and operations analytics topics. The core subject areas will vary depending on the focus subject of the online degree.

No, it is not easy to get an online mathematics PhD. A doctoral degree comprises research, dissertation, and advanced courses covering highly technical topics.

It will take around three to five years to complete an online mathematics PhD. Your degree timeline depends on your course schedule, dissertation process, and transfer credits.

A data science concentration is best for an online mathematics PhD. Data science is a rapidly growing field that encompasses tons of in-demand professions with high salaries. Moreover, with a data science focus, you will also get to work on a wide range of real-world problems instead of just theoretical scenarios.

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Online Ph.D.  Mathematics

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Kris Young

Written By - Kris Young

Students who enroll in the Ph.D. in mathematics program are prepared for jobs in academia or business. A wide range of areas can benefit from the program’s instruction in mathematics and its applications. It allows students to collaborate with professors on research projects, including various academic and practical subjects. There are several options for research in both pure and applied mathematics with the Ph.D. (such as the applied math Ph.D.), commonly known as the doctorate in mathematics. On their road to a Ph.D., all doctoral students are required to complete some teaching. This guide highlights the critical aspects of the online Ph.D. mathematics program to help prospective students make informed decisions for their academic pursuits.

Mathematics

Featured Online Programs

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National University

Program:  find best degree.

National University, headquartered in San Diego, California, was founded in 1971 to provide educational opportunities for adult learners and working professionals. It offers over 190 degree programs, including  bachelor’s, master’s, and doctoral  degrees, with flexible  online and on-campus  courses. Serving around 40,000 students and over 240,000 alumni, the university is recognized for its support of U.S. military members.  Accredited by the WASC Senior College and University Commission (WSCUC) , National University is committed to accessible and transformative higher education.

Best Online Ph.D. Mathematics Programs

One of the most complex decisions students ever must make is choosing a school or institution to enroll in for a doctorate in mathematics. The cost, placements, beginning pay, employment rates, acceptance rates, and other aspects should all be considered. FBD teams searched through each of these matrices to create a list of the top math education Ph.D. programs. Listed below are our rankings for the best online Ph.D. mathematics programs: *

Massachusetts Institute of Technology(On-Campus)

Massachusetts Institute of Technology(On-Campus) 77 Massachusetts Avenue, Cambridge, Massachusetts 02139 $55,510 96%

Princeton University(On-Campus)

Princeton University(On-Campus) 1 Nassau Hall, Princeton, New Jersey 08544 $56,010 98%

Harvard University(On-Campus)

Harvard University(On-Campus) Massachusetts Hall, Cambridge, Massachusetts 02138 $50,928 97%

Stanford University(On-Campus)

Stanford University(On-Campus) Stanford, California 94305 $54,315 96%

University of California-Berkeley(On-Campus)

University of California-Berkeley(On-Campus) 200 California Hall, Berkeley, California 94720 $11,442 93%

California Institute of Technology(On-Campus)

California Institute of Technology(On-Campus) 1200 E California Blvd, Pasadena, California 91125 $56,364 93%

Columbia University(On-Campus)

Columbia University(On-Campus) West 116 St and Broadway, New York, New York 10027 $50,496 97%

New York University(On-Campus)

New York University(On-Campus) 70 Washington Sq South, New York, New York 10012 $35,982 87%

University of California(On-Campus)

University of California(On-Campus) 405 Hilgard Ave, Los Angeles, California 90095 $11,442 92%

University of Michigan-Ann Arbor(On-Campus)

University of Michigan-Ann Arbor(On-Campus) 503 Thompson Street, Ann Arbor, Michigan 48109 $24,902 94%

Universities and programs are ranked by various factors, such as affordability, curriculum and coursework, reputation and availability, program length, statistics, the potential of employment, and return on investment for the students. For a more in-depth analysis, please read about our rankings methodology page . 

What to Expect from Online Ph.D. Mathematics Programs

In terms of scope and depth, math is an extensive topic. As a result, there are many diverse fields that online Ph.D. mathematics students can explore. Pure mathematics, applied mathematics, and statistics are the three categories into which these fields often fall. Mathematical biology, applied dynamical systems, combinatorics, matrix and operator theory, geometry, optics, inverse issues, probability, numerical analysis, and partial differential equations are some areas of study.

Additionally, as math concentrates on solving multidisciplinary issues in the actual world, students could cooperate with other STEM researchers or students of other online science Ph.D. programs. For an online doctorate in mathematics student, the research topic can be related to fluid mechanics, financial mathematics, theoretical and computational optimization, etc.

Prior coursework and study, qualifying tests, a candidacy exam with an advisor, and creative research culminate in a written dissertation and defense for the Ph.D. in mathematics. Candidates for the Ph.D. in mathematics must complete at least 36 credits of graduate-level courses, as well as preliminary written and oral exams, 24 credits of thesis work, and a doctorate thesis with a final defense.

A typical day for an online doctorate in mathematics student would entail the following:

  • Study scholarly works to expand expertise and spot current gaps in the body of knowledge related to the research topic.
  • Identify linkages between models, prove theorems, and define concepts as the research goes on, specifically related to the topic.
  • Collect data and analyze it to help create computer models, perform simulations, evaluate projections, etc.
  • Liaise with others – There are several ways to do this. For instance, one could collaborate closely with experts from several fields supporting one’s study, such as computer scientists, for projects using machine learning. Alternatively, one can require regular feedback from those who provided the data for one’s research, such as financial institutions or colleagues in biological research.
  • Attend a variety of seminars, lectures, and activities.

Listed below are a few typical online Ph.D. mathematics courses:

Numerical analysis

This research involves numerical analysis for integral equations, partial differential equations (finite difference, finite element, domain decomposition), and optimization.

Financial Mathematics

This course focuses on quantitative thinking and the capacity to relate cutting-edge mathematical theories to facts. Students will undertake in-depth analysis and build intricate models and financial instruments.

Machine Learning

In this course, students learn how to innovate, build machine learning models, and use them to solve significant real-world data-intensive challenges by integrating and using ideas from computers, statistics, optimization, engineering, mathematics, and science.

Algorithms, Combinatorics, and Optimization

This course uses algorithms, combinatorics, and optimization to integrate research on the mathematical structure of discrete objects with the creation and analysis of algorithms in fields like Network Optimization, Combinatorial Optimization, Integer Programming, Polyhedral Theory, Computational Algebra, Convex and Discrete Geometry, and Number Theory.

Computational Fluid Dynamics

This course touches upon the difficulties that arise when liquids and gases flow across surfaces that are solved and analyzed by researchers using numerical analysis and data structures.

Areas of Specialization for Online Ph.D. Mathematics Programs

Several separate subjects and areas may be explored and investigated within a certain discipline of study. These academic specialties are referred to as specializations. A specialization often requires delving deeply into the significant subject selected for the study. To support the specialization, additional supporting or minor courses must be taken. Some of the concentrations and degree variants of an online Ph.D. in mathematics students can choose from are as follows:

Area of Specialization Description Career Options
Advanced mathematics, mathematics education, and quantitative and qualitative research methods in education are all studied as part of the Ph.D. in mathematics specializing in mathematics education. The program focuses on K–12 mathematics instruction and learning, including teacher preparation or professional development, curriculum, instruction, and assessment.Graduates work in school, district, and state curriculum leadership positions.
The Ph.D. in mathematics with a specialization in statistics program or online Ph.D. programs in statistics is created to give students a strong foundation in statistical theory and methodology, which have broad applications in the natural, biomedical, and social sciences as well as engineering, finance, business management, and governmental regulations.Data scientists, big data architects
The obligatory coursework in the ACO Program curriculum is created to guarantee that students have a solid, foundational intellectual foundation that helps to facilitate and improve their research alternatives.Graduates of the program can be found in diverse settings in academia and industry; some choose careers in finance.
This program is highly multidisciplinary and strongly emphasizes combining and using concepts from math, physics, engineering, and computers to build computational models that address real-world issues.Computational development, research institutions, technology jobs
The study of machine learning involves a wide range of disciplines that utilize data to identify patterns in the design and operation of both living and artificial systems, including robots and the human body.Data scientists, data modelers, data analysts
This program combines research and instruction on using information technology in biology and medicine. It educates and trains graduate students to become leaders in the fields of bioinformatics and computational biology.Researchers, scientists

Some other examples of concentrations and variants related to the mathematics Ph.D. program include:

  • Applied Math Ph.D./applied Ph.D. Programs
  • Doctorate in Probability
  • Ph.D. in Calculus
  • Ph.D. Applied Statistics Online

Why should I do an Online Ph.D. Mathematics?

A Ph.D. in mathematics broadens a student’s options for academic careers and how they may spend their careers learning more about their interests as students and later as professors. Additionally, the field of mathematics has a vast spectrum in breadth and depth. As a result, there are many diverse fields that online Ph.D. mathematics students can explore.

The best thing about a doctorate in applied mathematics is that it can be used in any field, whether in the banking or healthcare industries, engineering or education, logistics, or neuroscience. The online Ph.D. mathematics education will provide students with the analytical and problem solving abilities required for any position following graduation, whether in academia, the commercial or public sectors, or both.

There are several chances to work for government agencies or commercial businesses too. Many Ph.D. in mathematics holders today work in fields like software development, engineering, and medicine, using the skills they learned in their programs to assist tackle difficulties and challenges in the real world.

A Ph.D. in mathematics shows that one is dedicated to lifelong study and equips one with highly employable talents. With subject-specific knowledge, one will acquire transferable abilities that apply to practically any industry. For example, one would have to ability to:

  • reason through and evaluate complicated topics;
  • show dedication and perseverance in pursuing scientific objectives;
  • demonstrate exceptional communication and writing abilities;
  • communicate with people from various religious origins, and operate as a team;
  • demonstrate comprehensive deduction and reasoning abilities;
  • form and articulate logical and mathematical answers to a variety of issues encountered in daily life; and
  • exhibit excellent numeracy abilities.

Read the Guide to PH.D. Programs  for more information on doctoral programs.

Free Courses for Online Ph.D. in Mathematics Students

When a student has enrolled in an online Ph.D. mathematics, there might be a subject that might need a quick brush-up, or there might be a reason to brush up on a few concepts that someone might have not rehearsed or come across a post a bachelor’s or masters. For those courses, students would not have to look too far away from free online courses. Here are a few to explore:

Course Description Provided by
This course will utilize matrix algebra to express the linear models frequently employed to model changes between experimental units in this beginning data analysis course. Based on these disparities, students will draw statistical conclusions.
Statistical Inference and Modeling for High-throughput ExperimentsIn this course, students will study multiple testing issues, error rates, error rate management techniques, false discovery rates, q-values, and exploratory data analysis. The introduction of statistical modeling and its use with high-throughput data will follow.
Graph Theory and Additive CombinatoricsThis course addresses traditional and contemporary advancements in additive combinatorics and graph theory, emphasizing issues and themes that link the two fields. Students are also introduced to recent research areas and outstanding issues in the course.
Numerical Methods for Partial Differential EquationsThe advanced theory and applications of numerical techniques for solving differential equations are covered in this graduate-level course. The course specializes in physically arising partial differential equations and the fundamental concepts that underlie diverse approaches.

How to get into the Online Ph.D. Mathematics?

Enrolling in a math Ph.D. program may vary a little bit per the Ph.D. specialization, but the typical requirements for Ph.D. in mathematics programs would be as follows:

  • A master’s in mathematics or bachelor’s degree with advanced mathematics courses
  • A minimum cumulative Grade Point Average (GPA) of 3.0 on a scale of 4.0
  • Two Letters of Recommendation are required: one for academic reference from past educational experience and the other for a reference who can vouch for the applicant’s caliber of work as an accountant professionally
  • Personal Statement
  • Résumé or Curriculum Vitae

The math Ph.D. program acceptance rates vary per the institution being applied to but are typically between 9% and 15% (unverified).

Online Ph.D. Mathematics No GRE Programs

Those applying to Ph.D. programs in business, law, STEM, and other fields, must take the GRE general exam and the GRE subject tests. Since more than 60 years ago, admissions and fellowship panels at hundreds of graduate institutions throughout the globe have taken GRE results into account, along with an applicant’s undergraduate grades and other requirements for graduate study.

A GRE score continues to be often required for admission to Ph.D. programs, including the online Ph.D. in mathematics degree program. However, few universities no longer require GRE scores for enrollment and offer Ph.D. in mathematics no GRE programs since graduate student demographics have changed so much over the past 50 years. The main grading criteria for graduate admission now include GPA and job experience at these universities. Examples include the University of Michigan – Ph.D. in Mathematics and Applied and Interdisciplinary Mathematics , and the University of Illinois Urbana-Champaign – PH.D. in Mathematics .

How Long does it take to complete the Online Ph.D. Mathematics Program?

The average length of online Ph.D. programs in mathematics is around five to six years. Basic courses in algebra, analysis, and topology are examples of typical subject requirements. The degree program culminates in a doctoral dissertation and at least 72 credit hours beyond an undergraduate degree, comprising at least 48 hours of classroom credits and a maximum of 24 hours of research credits.

The eight-course requirement is usually satisfied for students by the end of the third year. The first two years must be completed with Honors grades. Each term, a set of three qualifying exams—on typical subjects like topology, real and complex analysis, and algebra and number theory—is offered. By the conclusion of the second year, all qualifying exams must be passed. Students should take the tests as soon as possible because there is no restriction on the number of times they may do so. During the third year, the dissertation prospectus should be sent in. The thesis must be completed independently and with the help of an adviser.

Accelerated Online Ph.D. Mathematics Programs

Enrolling in an accelerated math program might benefit students if they are full-time math students who are highly driven and have a knack for the subject’s principles and ideas. These accelerated programs are pretty difficult and move swiftly, as one might anticipate. They allow excellent students enrolled in undergraduate/graduate programs to get graduate/PH.D. credits. Since these programs are very demanding on students, they should do their research before applying because not everyone is eligible for these programs. However, it would be hard to come across an accelerated online Ph.D. mathematics program in most instances.

Accreditations for Online Ph.D. Mathematics Programs

Accreditation is a voluntary process that institutions go through to demonstrate the quality of their educational programs. For students seeking online mathematics degrees, enrolling in accredited Ph.D. colleges for mathematics could be essential because doing so can often be a prerequisite for receiving federal financial aid and transferring credits across educational programs. Employing applicants with degrees from recognized schools may be preferred by many firms. There is a list of authorized regional and national accrediting agencies on the Council for Higher Education Accreditation (CHEA) website. Students should check to see if the institution they consider attending is certified.

One entity that assesses institutions rather than specific college programs is the Middle States Commission on Higher Education (MSCHE). It is a non-profit membership organization that uses a range of student demographics and resources to define, defend, and promote educational excellence.

Also, the United States is a unique country that uses private groups of schools and colleges, rather than a government body, to vouch for a college’s eligibility to receive government-funded student aid. The Mathematical Associating of America (MAA) is an organization that overlooks this and maintains accreditation for institutions of higher learning for mathematics.

The Guide to College Accreditation is a good place for students to learn more about accreditation.

How to Pay for an Online Ph.D. Mathematics Program?

Giving one’s payment options for one’s online Ph.D. mathematics program great thought is essential, especially considering the current state of student debt, the price of education, and the average debt each student accrues. The most intelligent method to pay for education is through scholarships. If an applicant does not meet the requirements for a scholarship, they may inquire with their employers about tuition reimbursement if they are employed professionals. Also, applying for a student loan is another option for paying for an online Ph.D. mathematics program. Additionally, students can check their eligibility for federal student funding .

Discover more about funding higher education through these guides: What is Financial Aid? | How to Pay for College? | Donors for Student Loans | Grants for Student Loans | FAFSA Student Aid .

Fully Funded Online Ph.D. Mathematics Programs

Fully funded mathematics Ph.D. programs are those where students can get a full scholarship to fund their tuition and studies. Full scholarships are financial awards made to students for their education that may consider their financial situation in addition to other factors, such as their academic status. Here are a few to explore:

AMS-AAAS Mass Media Fellowship

The American Mathematical Society (AMS) partners with the American Association for the Advancement of Science (AAAS) to provide ten-week fellowships for graduate math students who wish to work full-time as reporters, researchers, or production assistants in American mass media outlets such as radio and television stations, newspapers, and magazines during the summer.

American Mathematical Society Centennial Fellowships

Outstanding mathematicians receive yearly prizes from the AMS Centennial Research Fellowship Program to further their scientific careers. A fellowship winner must have held their PH.D. degree for at least three years and no more than twelve when the award was announced. Applications will be accepted from those now employed in a tenured, tenure-track, postdoctoral, or equivalent (as determined by the selection committee) in a North American university.

AMS Congressional Fellowships

This fellowship is sponsored by the American Mathematical Society (AMS) and the American Association for the Advancement of Science (AAAS).

FAQs Related to the Online Ph.D. Mathematics Program

Can you get a ph.d. in math online.

Yes, you may do an online Ph.D. in mathematics. However, it is uncommon to discover online Ph.D. programs, mainly in statistics, mathematics, or applied mathematics. Students who want to work in the disciplines of education, analytics-based mathematics, or information technology may choose an online Ph.D. program.

Is a Ph.D. in math worth it?

The opportunity to follow a variety of job options is one of the most significant advantages of a math Ph.D. This is because the fundamental ideas that underlie all sciences are, in various degrees, supported by the basic concepts that underlie mathematics.

Is doing a Ph.D. in math difficult?

It is based on the mathematical prowess of the students. A Ph.D. in mathematics is not possible if this is low. If it is high, it should not be too difficult; all you need is a strong work ethic and the capacity to devote 5 to 7 years to graduate school.

Is it mandatory to do a master’s to get into a Ph.D. in math?

Students frequently transition directly from undergrad to Ph.D. While there, some people do get a master’s degree, but only as a byproduct of their doctoral studies.

Why would someone get a Ph.D. in math?

A math Ph.D. broadens your options for academic careers, and you may spend your career learning more about your interests as a student and later as a professor. There are several chances to work for government agencies or commercial businesses.

Do mathematicians make good money?

In May 2021, the average salary for mathematicians was $108,100 . The bottom 10% earned less than $61,760, while the top 10% made more than $169,500 .

What is the difference between a Ph.D. and a doctorate?

A Ph.D. is a level of education emphasizing theory assessment, data analysis, and original research. A doctorate focuses on developing successful professional practices within your discipline, devising answers to complicated challenges, and applying research to real-world situations.

What are the requirements for doing a Ph.D. in mathematics?

After earning a bachelor’s degree, candidates for the PH.D. in Mathematics must complete at least 36 credits of graduate-level courses, as well as preliminary written and oral exams, 24 credits of thesis work, and a doctorate thesis with a final defense.

Should I skip my master’s and go straight to Ph.D.?

If enrolling in a Ph.D. program is your goal, having your master’s may help with your application. Ph.D. advisors often prefer candidates with prior expertise in their area; having a master’s degree on your resume may help your chances.

Career Opportunities and Salaries after obtaining an Online Ph.D. Mathematics

Math, statistics, and financial theories are frequently used in math occupations to evaluate risk or resolve challenging issues, etcetera. Successful professionals in this industry possess good mathematics, communication, and problem-solving abilities.

For students who put in the effort to obtain a Ph.D. in mathematics, this profession provides several profitable job prospects. Between 2020 and 2030, the Bureau of Labor Statistics (BLS) forecasts a 27% job growth rate for math-related jobs, a pace that is much higher than the 4% average for all occupations. Data is being used extensively, which helps to explain why there is such a great demand for qualified statisticians, analysts, and mathematicians.

The typical annual compensation for math professionals is $98,680 , according to the BLS. Those passionate about math and who possess the necessary abilities may have a rewarding and successful future. So, as one can see, if a student invests their time in a higher degree in mathematics, it can be gratifying. Listed below are a few career options for online Ph.D. mathematics graduates:

OccupationJob DescriptionSkills RequiredMedian Annual SalaryJob Growth (up to 2030)
Financial analysts advise companies and people on how to spend money to make a profit. They evaluate the performance of bonds, equities, and other financial products. Financial analysts assess investment possibilities and options to make a profit.Decision-making skills, analytical skills, computer skills, math skills, communication skills, detail-oriented$81,4106% (as fast as average)
To determine if a product or service will be sold, market research experts look at current market circumstances. They assist businesses in determining who will buy certain things and at what price by conducting market research and collecting data.Communication skills, critical-thinking skills, analytical skills, detail-oriented$63,92022% (much faster than average)
Managers of marketing, advertising, and promotions create campaigns to spark interest in their companies’ goods and services. They collaborate with finance employees, advertising salespeople, and art directors. They generate curiosity among potential customers about a good or service.Interpersonal skills, organizational skills, communication skills, analytical skills, decision-making skills, creativity$133,38010% (as fast as average)
The financial stability of a company is the responsibility of the financial managers. They prepare financial reports, oversee investment operations, and plan for the organization’s long-term financial objectives. Most of the financial manager’s time is spent evaluating data and advising senior managers on how to increase profitability.Math skills, communication skills, analytical skills, organizational skills, detail-oriented$131,71017% (much faster than average)
Computer and information scientists provide creative applications for both new and current technologies. They research and address challenging issues in computers for many industries, including business, science, and medicine.Interpersonal skills, communication skills, analytical skills, math skills, problem-solving skills, logical thinking, detail-oriented$131,49022% (much faster than average)

Certifications and Licensing for Online Ph.D. Mathematics Graduates

Post an online Ph.D. mathematics,  it is recommended that students entering the field get certifications from established professional organizations to connect with established players and find greater acceptance in the industry. In general, to practice the profession of mathematics, no certification or licensing requirement is mandated by state or federal laws. Nevertheless, certifications add heft to a resumé, leading to better job prospects and higher pay. Here are a few certification programs to consider:

Mathematical Association of America: College Mathematics Instructor Development Source (CoMInDS)

The MAA CoMInDS initiative assists mathematics departments in creating or updating their graduate student professional development programs by providing teaching materials and advice. The workshop offers interested teachers the chance to learn how to create a successful program and access a vast library of lessons, exercises, and assignments that they may utilize at their schools.

American Statistical Association: Classes in Methodology and Practice

This program involves classes in methodology and practice to keep candidates up to date with new theories and techniques, assist them in staying connected with best practices, enable them to advance in areas they have not studied before, and help them gather concepts and directions for future research.

American Statistical Association: Workshops in Technology

The workshops in technology teach students about new software tools and computational approaches so they can keep on top of technological changes and new data sources.

Fellow of the Society of Actuaries (FSA)

Exams, e-Learning courses and modules, a proctored project evaluation, validation of educational experiences outside the SOA Education system, a professionalism seminar, and the Fellowship Admissions Course are requirements for receiving the FSA designation.

Additional Resources for Online Ph.D. Mathematics Graduates

After earning a Ph.D. mathematics online in the topic of choice, the next big step would be to join a professional organization as a member, become accredited, and be committed to the field of study. Doing so connects students to their professional peers and keeps them informed of the most recent developments in mathematics. Here are a few resources graduates can tap into:

Title/ResourceDescription
The Research Council on Mathematics Learning (RCML), founded in 1974, may be seen as a tool its members might utilize to achieve objectives. RCML offers a space for inquiry, analysis, and professional development for math educators at all levels.
With more than 30,000 actuaries as members, the Society of Actuaries (SOA) is the largest actuarial professional association in the world. The SOA develops actuaries as pioneers in assessing and managing risk to enhance financial outcomes for people, businesses, and the general public through education and research.
The Mathematical Association of America is the largest community of mathematicians, students, and enthusiasts in the world. The MAA’s purpose is to enhance understanding of mathematics and its impact on our planet.
One of the main goals of the nineteen professional societies that make up the Conference Board of the Mathematical Sciences (CBMS) is to expand or disperse knowledge in one or more mathematical sciences. CBMS aims to advance research, enhance teaching, and broaden the applications of mathematics.
The Society for Industrial and Applied Mathematics (SIAM) is a non-profit organization dedicated to disseminating superior mathematical knowledge to other professionals who may apply mathematical theory in practical, industrial, or scientific applications.

Disclaimer:

The average tuition (based on degree type for in-state students), average graduation rates, and rankings are based on data from various sources, including the Integrated Postsecondary Education Data System (IPEDS), and are variable over time. All rankings and statistics are subject to change. The rankings are solely the opinion of Find Best Degrees (FBD) and are based on our  proprietary methodology . They do not represent the views of the institutions or organizations mentioned, nor do they represent any official government census or survey. Furthermore, any views or opinions expressed on this page are of FBD’s researchers and teams. Unless otherwise specified, they do not represent the thoughts and opinions of the individuals, institutions, or organizations mentioned. This page’s content is provided solely for informational purposes, with data drawn from various sources, including IPEDS. FBD and its employees make no guarantees regarding the accuracy or completeness of any information found on this page or by following any link. FBD will not be held liable for any errors or omissions in this material nor any losses, injuries, or damages resulting from the exposure or use of this information. Although the information on this page is/was correct at the time of publication, readers should exercise caution because some or all of the provided information may have changed over time, potentially resulting in inaccuracies. For more information, please read our  Terms of Service . Trademarks and logos are the property of their registered owners.

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University of Wyoming Mathematics Education Student stands writes on a whiteboard as another student looks on.

Mathematics Education Ph.D.

Bachelor's Degrees |  Master's Degrees |  Doctoral Degrees | Certificates & Endorsements |  About | Advising | Donate

The Doctor of Philosophy in Curriculum and Instruction with a concentration in Mathematics Education at the University of Wyoming offers advanced coursework for educational professionals interested in pursuing a degree whose advanced study might someday lead them to research-oriented careers, primarily working in university settings.

Courses in the program are offered online, allowing you to pursue the Ph.D. in mathematics education while you continue in your current professional role. Candidates in this program aim to be scholar-leaders for the field of mathematics education at colleges and universities worldwide. As a student in the program, you will begin developing your research agenda under the mentorship of experienced academic researchers.

Learn more about the benefits of gaining your Ph.D. degree in education at UW .

Interested in a doctoral program where you will utilize applied research to solve a current problem of teaching practice? Take a look at our Ed.D in programs in education.

Email Mathematics Education Program Coordinator Dr. Rick Kitchen, [email protected] or take a look at our FAQs page .

ADDITIONAL INFORMATION

Admissions

ADMISSION Learn how to apply and start your journey today.

Curriculum

CURRICULUM Learn about required classes and requirements.

Resources

RESOURCES Find resources for students and faculty members .

Faculty

FACULTY Meet the supportive teacher preparation faculty team .

Guide to Graduate Studies

The PhD Program The Ph.D. program of the Harvard Department of Mathematics is designed to help motivated students develop their understanding and enjoyment of mathematics. Enjoyment and understanding of the subject, as well as enthusiasm in teaching it, are greater when one is actively thinking about mathematics in one’s own way. For this reason, a Ph.D. dissertation involving some original research is a fundamental part of the program. The stages in this program may be described as follows:

  • Acquiring a broad basic knowledge of mathematics on which to build a future mathematical culture and more detailed knowledge of a field of specialization.
  • Choosing a field of specialization within mathematics and obtaining enough knowledge of this specialized field to arrive at the point of current thinking.
  • Making a first original contribution to mathematics within this chosen special area.

Students are expected to take the initiative in pacing themselves through the Ph.D. program. In theory, a future research mathematician should be able to go through all three stages with the help of only a good library. In practice, many of the more subtle aspects of mathematics, such as a sense of taste or relative importance and feeling for a particular subject, are primarily communicated by personal contact. In addition, it is not at all trivial to find one’s way through the ever-burgeoning literature of mathematics, and one can go through the stages outlined above with much less lost motion if one has some access to a group of older and more experienced mathematicians who can guide one’s reading, supplement it with seminars and courses, and evaluate one’s first attempts at research. The presence of other graduate students of comparable ability and level of enthusiasm is also very helpful.

University Requirements

The University requires a minimum of two years of academic residence (16 half-courses) for the Ph.D. degree. On the other hand, five years in residence is the maximum usually allowed by the department. Most students complete the Ph.D. in four or five years. Please review the program requirements timeline .

There is no prescribed set of course requirements, but students are required to register and enroll in four courses each term to maintain full-time status with the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Qualifying Exam

The department gives the qualifying examination at the beginning of the fall and spring terms. The qualifying examination covers algebra, algebraic geometry, algebraic topology, complex analysis, differential geometry, and real analysis. Students are required to take the exam at the beginning of the first term. More details about the qualifying exams can be found here .

Students are expected to pass the qualifying exam before the end of their second year. After passing the qualifying exam students are expected to find a Ph.D. dissertation advisor.

Minor Thesis

The minor thesis is complementary to the qualifying exam. In the course of mathematical research, students will inevitably encounter areas in which they have gaps in knowledge. The minor thesis is an exercise in confronting those gaps to learn what is necessary to understand a specific area of math. Students choose a topic outside their area of expertise and, working independently, learns it well and produces a written exposition of the subject.

The topic is selected in consultation with a faculty member, other than the student’s Ph.D. dissertation advisor, chosen by the student. The topic should not be in the area of the student’s Ph.D. dissertation. For example, students working in number theory might do a minor thesis in analysis or geometry. At the end of three weeks time (four if teaching), students submit to the faculty member a written account of the subject and are prepared to answer questions on the topic.

The minor thesis must be completed before the start of the third year in residence.

Language Exam

Mathematics is an international subject in which the principal languages are English, French, German, and Russian. Almost all important work is published in one of these four languages. Accordingly, students are required to demonstrate the ability to read mathematics in French, German, or Russian by passing a two-hour, written language examination. Students are asked to translate one page of mathematics into English with the help of a dictionary. Students may request to substitute the Italian language exam if it is relevant to their area of mathematics. The language requirement should be fulfilled by the end of the second year. For more information on the graduate program requirements, a timeline can be viewed at here .

Non-native English speakers who have received a Bachelor’s degree in mathematics from an institution where classes are taught in a language other than English may request to waive the language requirement.

Upon completion of the language exam and eight upper-level math courses, students can apply for a continuing Master’s Degree.

Teaching Requirement

Most research mathematicians are also university teachers. In preparation for this role, all students are required to participate in the department’s teaching apprenticeship program and to complete two semesters of classroom teaching experience, usually as a teaching fellow. During the teaching apprenticeship, students are paired with a member of the department’s teaching staff. Students attend some of the advisor’s classes and then prepare (with help) and present their own class, which will be videotaped. Apprentices will receive feedback both from the advisor and from members of the class.

Teaching fellows are responsible for teaching calculus to a class of about 25 undergraduates. They meet with their class three hours a week. They have a course assistant (an advanced undergraduate) to grade homework and to take a weekly problem session. Usually, there are several classes following the same syllabus and with common exams. A course head (a member of the department teaching staff) coordinates the various classes following the same syllabus and is available to advise teaching fellows. Other teaching options are available: graduate course assistantships for advanced math courses and tutorials for advanced undergraduate math concentrators.

Final Stages

How students proceed through the second and third stages of the program varies considerably among individuals. While preparing for the qualifying examination or immediately after, students should begin taking more advanced courses to help with choosing a field of specialization. Unless prepared to work independently, students should choose a field that falls within the interests of a member of the faculty who is willing to serve as dissertation advisor. Members of the faculty vary in the way that they go about dissertation supervision; some faculty members expect more initiative and independence than others and some variation in how busy they are with current advisees. Students should consider their own advising needs as well as the faculty member’s field when choosing an advisor. Students must take the initiative to ask a professor if she or he will act as a dissertation advisor. Students having difficulty deciding under whom to work, may want to spend a term reading under the direction of two or more faculty members simultaneously. The sooner students choose an advisor, the sooner they can begin research. Students should have a provisional advisor by the second year.

It is important to keep in mind that there is no technique for teaching students to have ideas. All that faculty can do is to provide an ambiance in which one’s nascent abilities and insights can blossom. Ph.D. dissertations vary enormously in quality, from hard exercises to highly original advances. Many good research mathematicians begin very slowly, and their dissertations and first few papers could be of minor interest. The ideal attitude is: (1) a love of the subject for its own sake, accompanied by inquisitiveness about things which aren’t known; and (2) a somewhat fatalistic attitude concerning “creative ability” and recognition that hard work is, in the end, much more important.

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» » Graduate PhD Program

The Department of Mathematics offers a program leading to the degree of Doctor of Philosophy.

The PhD program is an intensive course of study designed for the full-time student planning a career in research and teaching at the university level or in quantitative research and development in industry or government. Admission is limited and highly selective. Successful applicants have typically pursued an undergraduate major in mathematics.

In the first year of PhD studies, students must pass written examinations in the areas of the basic . In the second year an oral examination on two selected topics must be passed. Subsequent years are devoted to seminars, research, and the preparation of a dissertation. Students are required to serve as a teaching assistant or instructor for four years beginning with the second year of study. All students must serve as a primary instructor for at least one semester; all others semesters students will serve as a teaching assistant. En route to the Ph.D., students will earn three degrees: a Master of Arts (after year one), a Master of Philosophy (after year four), and the Doctorate of Philosophy (after a successful thesis defense).

There are also allied doctoral programs in , , and .

The Mathematics Department is housed in a comfortable building containing an excellent , computing and printing facilities, faculty and graduate student offices, a lounge for tea and conversation, and numerous seminar and lecture rooms.

The department has a broad fellowship program designed to help qualified students achieve the PhD degree in the shortest practicable time. Each student admitted to the PhD program is appointed a fellow in the Department of Mathematics for a period of five years, contingent on good progress. A fellow receives a stipend for the nine-month academic year and is exempt from payment of tuition.

A fellow in the Department of Mathematics may hold a fellowship from a source outside Columbia University. When not prohibited by the terms of the outside fellowship, the University supplements the outside stipend to bring it up to the level of the University fellowship. Candidates for admission are urged to apply for fellowships for which they are eligible (e.g., National Science Foundation, Ford and Hertz Foundations).

All students admitted to the PhD program become fellows in the Department and are exempt from tuition. Students may be responsible for certain : a student activity fee and transcript fee.

Students in the PhD program are entitled to affordable University housing near the Department in Morningside Heights. This makes it possible to live comfortably in the University neighborhood on the fellowship stipend.

The PhD program in mathematics has an enrollment of approximately 60 students. Typically, 10-12 students enter each year. While students come from all over the world, they form an intellectually cohesive and socially supportive group.

New York City is America’s major center of culture. Columbia University’s remarkably pleasant and sheltered , near the Hudson River and Riverside Park, is situated within 20-30 minutes of Lincoln Center, Broadway theaters, Greenwich Village, and major museums. Most department members live within a short walk of the University.

Since receiving its charter from King George II in 1754, Columbia University has played an eminent role in American education. In addition to its various faculties and professional schools (such as Engineering, Law, and Medicine), the University has close ties with nearby museums, schools of music and theology, the United Nations, and the city government.

The application deadline is typically early December for admission the following September. Precise details on requirements and deadlines can be found . Applicants must submit all required documents by the posted deadline. Students whose undergraduate degree was not from an English-speaking country must also submit scores from the TOEFL or IELTS.  Applications must be filed .

 

:

Graduate School of Arts and Sciences
Columbia University
Office of Student Affairs
107 Low Library, MC 4304
New York, NY 10027
212-854-6729

Michael Harris
Director of Graduate Studies
Department of Mathematics
Columbia University
2990 Broadway
509 Mathematics, MC 4406
New York, NY 10027


Applied Mathematics

Program finder image

Undergraduate Program

The Applied Mathematics concentration consists of a broad undergraduate education in the mathematical sciences, especially in those subjects that have proved vital to an understanding of problems arising in other disciplines, and in some specific area where mathematical methods have been substantively applied. For concentrators, a core learning objective is building and demonstrating foundational knowledge in computation, probability, discrete, and continuous mathematics through the successful completion of the foundation and breadth courses. Students are also eligible to apply for an A.B./S.M. degree program.

Harvard School of Engineering offers a Doctor of Philosophy (Ph.D.) degree in Applied Mathematics. Doctoral students may earn the masters degree en route to the Ph.D. Students are drawn to Applied Mathematics by the flexibility it offers in learning about how to apply mathematical ideas to problems drawn from different fields, while remaining anchored to empirical data that drive these questions. Research and educational activities have particularly close links to Harvard’s efforts in Mathematics, Economics, Computer Science, and Statistics. Graduates go on to a range of careers in industry, academics, to professional schools in business, law, medicine, among others. All Ph.D.s are awarded through the Harvard Graduate School of Arts and Sciences.

Arizona State University

Mathematics, PhD

  • Program description
  • At a glance
  • Degree requirements
  • Admission requirements
  • Tuition information
  • Application deadlines
  • Program learning outcomes
  • Career opportunities
  • Contact information

Algebra, Equations, Geometry, Mathematics, analysis, approved for STEM-OPT extension

Are you interested in understanding the true depth of knowledge in the intradisciplinary subfields within mathematics? Discover important connections between different areas of mathematics and their applications using studies in algebra, topology, geometry, probability, analysis and logic.

The PhD program in mathematics is intended for students with exceptional mathematical ability. The program emphasizes a solid mathematical foundation and promotes innovative scholarship in mathematics and its many related disciplines.

The School of Mathematical and Statistical Sciences has very active research groups in analysis, number theory, geometry and discrete mathematics.

This program may be eligible for an Optional Practical Training extension for up to 24 months. This OPT work authorization period may help international students gain skills and experience in the U.S. Those interested in an OPT extension should review ASU degrees that qualify for the STEM-OPT extension at ASU's International Students and Scholars Center website.

The OPT extension only applies to students on an F-1 visa and does not apply to students completing a degree through ASU Online.

  • College/school: The College of Liberal Arts and Sciences
  • Location: Tempe
  • STEM-OPT extension eligible: Yes

84 credit hours, a written comprehensive exam, a prospectus and a dissertation

Required Core (3 credit hours) MAT 501 Geometry and Topology of Manifolds I (3) or MAT 516 Graph Theory I (3) or MAT 543 Abstract Algebra I (3) or MAT 570 Real Analysis I (3)

Other Requirements (3 credit hours) MAT 591 Seminar (3)

Electives (24-39 credit hours)

Research (27-42 credit hours) MAT 792 Research

Culminating Experience (12 credit hours) MAT 799 Dissertation (12)

Additional Curriculum Information Electives are to be chosen from math or related area courses approved by the student's supervisory committee.

Students must pass:

  • two qualifying examinations
  • a written comprehensive examination
  • an oral dissertation prospectus defense

Students should see the department website for examination information.

Each student must write a dissertation and defend it orally in front of five dissertation committee members.

Applicants must fulfill the requirements of both the Graduate College and The College of Liberal Arts and Sciences.

Applicants are eligible to apply to the program if they have earned a bachelor's or master's degree in mathematics or a closely related area from a regionally accredited institution.

Applicants must have a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in the last 60 hours of their first bachelor's degree program or a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in an applicable master's degree program.

All applicants must submit:

  • graduate admission application and application fee
  • official transcripts
  • statement of education and career goals
  • three letters of recommendation
  • proof of English proficiency

Additional Application Information An applicant whose native language is not English must provide proof of English proficiency regardless of their current residency.

Additional eligibility requirements include competitiveness in an applicant pool as evidenced by coursework in linear algebra (equivalent to ASU course MAT 342 or MAT 343) and advanced calculus (equivalent to ASU course MAT 371), and it is desirable that applicants have scientific programming skills.

SessionModalityDeadlineType
Session A/CIn Person 12/10Priority
SessionModalityDeadlineType
Session A/CIn Person 07/01Final

Program learning outcomes identify what a student will learn or be able to do upon completion of their program. This program has the following program outcomes:

  • Apply advanced mathematical skills in coursework and research.
  • Address an original research question in mathematics.
  • Able to complete original research in theoretical mathematics.

Graduates of the doctoral program in mathematics possess sophisticated mathematical skills required for careers in many different sectors, including education, industry and government. Potential career opportunities include:

  • faculty-track academic
  • finance and investment analyst
  • mathematician
  • mathematics professor, instructor or researcher
  • operations research analyst
  • statistician

School of Mathematical and Statistical Sciences | WXLR A213 [email protected] 480-965-3951

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Doctor of Philosophy (PhD)

Program synopsis and training.

Math Graduate Program

 The Doctor of Philosophy (PhD) in mathematics is the highest degree offered by our program. Graduates will have demonstrated their ability to conduct independent scientific research and contribute new mathematical knowledge and scholarship in their area of specialization. They will be well-supported and well prepared for research and faculty positions at academic institutions anywhere in the world. Owing to their independence, analytic abilities, and proven tenacity, our PhD graduates are also sought after by private and government employers.

Our PhD program offers two tracks, one for Theoretical Mathematics and one for Applied Mathematics . The tracks differ only in the course and  qualifying requirements during the first two years. Applicants are required to decide on one of the tracks and applications will be evaluated subject to respective criteria described below.

Once students have passed their Qualifying Requirements, the two tracks merge and there is no distinction in later examinations and research opportunities. In particular, the candidacy exam for both tracks consists of a research proposal, the graduate faculty available for advising is the same, and the final degree and thesis defense are independent of the initially chosen track.

Expected Preparations for Admission

Competitive applicants to the theoretical track are expected to have strong foundations in Real Analysis and Abstract Algebra, equivalent to our Math 5201 - 5202  and Math 5111 - 5112 sequences.

Expected preparations for the applied track include the equivalents of a rigorous Real Analysis course (such as Math 5201 ), a strong background in Linear Algebra, as well as an introductory course in Scientific Computing.

Besides these basic requirements, competitive applicants in either track submit evidence for a broad formation in mathematics at the upper-division or beginning graduate level. Relevant coursework in other mathematical or quantitative sciences may also be considered, especially for the applied track.

Prior research experiences are not required for either track, and we routinely admit students without significant research background. Nevertheless, applicants are encouraged to include accounts of research and independent project endeavors as well as letters of supervising mentors in order to be more competitive for fellowship considerations. The research component is likely to have greater weight in applications to the applied track.

These prepared documents serve to provide our admission committee with a narrative overview of the applicant's mathematical trajectory. Their primary focus should, therefore, be to enumerate and describe any evidence of mathematical ability and mathematical promise. The information included in the documents should be well-organized, comprehensive, informative, specific, and relevant. This will help our committee to properly and efficiently evaluate the high number of applications we receive each year.

Our Graduate Recruitment Committee will generally  not  consider GRE test scores for this Autumn 2024 admissions. If you have already taken the test, please do not self-report the scores to us. In exceptional circumstances students may have the option to report unofficially. 

International students whose native language is not English and are not exempt should score at least a 20 on the Speaking portion of the TOEFL or at least 6.5 on the IELTS Speaking portion.  We also recommend an overall score of at least 95 on TOEFL or at least 7.0 on IELTS.  For a list of exempt countries, please see  https://gpadmissions.osu.edu/intl/additional-requirements-to-apply.html

Qualifying Requirements by Track

The qualifying requirements for the theoretical track are fulfilled by passing our Abstract Algebra course sequence  ( Math 6111 , Math 6112 ) and  our Real Analysis course sequence ( Math 6211 , Math 6212 ), each with at least an A-, or  by passing a respective examination.

The qualifying requirements for the applied track combine a mandatory Scientific Computing course ( Math 6601 ), one of the algebra or analysis courses, and three additional courses chosen from  Math 6602 , Math 6411 ,  Math 6451 , and the courses comprising the algebra and analysis sequences.

The breadth requirements in the applied track are more flexible than in the theoretical track, but also include a mandatory graduate course in a non-math STEM department from an approved list. 

You can find more information about our PhD program requirement here .

Opportunities & Outcomes

The research opportunities and academic outcomes of our doctoral program are described in detail in the Graduate Program Prospectus  [pdf]. 

Our department has about 80 active graduate faculty on the Columbus and regional campuses. Virtually every area of mathematics is represented in our program, with a sampling displayed below.

  • Commutative, Non-commutative, & Quantum Algebra
  • Analytic, Algebraic, Computational Number Theory
  • Algebraic Geometry, Tropical Geometry
  • Applied Mathematics, Mathematical Physics
  • Real and Complex Analysis
  • Functional Analysis, Operator Algebras
  • Combinatorics and Graph Theory
  • Differential Geometry
  • Dynamical Systems and Ergodic Theory
  • Financial and Actuarial Mathematics
  • Logic and Foundations
  • Probability Theory, Statistical Mechanics
  • Mathematical Biology
  • Ordinary and Partial Differential Equations
  • Representation theory
  • Scientific Computing
  • Topology, Topological Data Analysis

See also our  Applied Mathematics Topics List  [pdf].

Our program offers many support opportunities without teaching duties as well, to allow more time for scientific endeavors. These opportunities include university fellowships, external funding, and departmental fellowships and special assignments. See the  Financial Support  page for more details.

The median time to degree completion in our program is below six years but also varies significantly among our students, with as little as four years for students entering with substantial prior preparations. Funding is guaranteed for six years and can be extended to seven years with advisor support and the permission of the Graduate Studies Committee.  

Most of our graduates continue their careers in academia. Post-doctoral placements in the last two years include, for example, UCLA, Stanford, ETH-Zürich, Brown University, University of Michigan, Northwestern University, University of Vienna, EPF Lausanne, Free University at Berlin, Purdue University, and University of Utah. In recent years our graduates also went to Princeton University, IAS, University of Chicago, Yale University, University of Michigan, Cal-Tech, Northwestern University, University of Texas, Duke University, SUNY Stony Brook, Purdue University, University of North Carolina - Chapel Hill, and Indiana University. Recent non-academic placements include Google, Facebook, Amazon, NSA, and prestigious financial institutions.

Students also have access to training and networking opportunities that prepare them better for careers in private industry and teaching - for example, through the Erdős Institute  - and are regularly offered highly competitive positions in the industry. 

Nearly half of the graduate population consists of domestic students coming from both larger universities and smaller liberal arts colleges with a solid math curriculum. And as a program group member of the National Math Alliance , we are dedicated to enhancing diversity in our program and the scientific community. The International students in our program come from all parts of the world with a wide variety of educational backgrounds.

Prospective students:  [email protected]

Graduate Office Department of Mathematics The Ohio State University 231 W 18th Avenue ( MA 102 ) Columbus, Ohio 43210 United States of America                

Phone: (614) 292-6274 Fax: (614) 292-1479

[pdf] - Some links on this page are to .pdf files. If you need these files in a more accessible format, please email  [email protected] . PDF files require the use of Adobe Acrobat Reader software to open them. If you do not have Reader, you may use the following link to Adobe to download it for free at:  Adobe Acrobat Reader .

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School of Education

Mathematics education, ed.d. in curriculum and instruction – specialization in mathematics education (online).

The 60-credit, post-masters Ed.D. degree is for experienced mathematics teachers, instructional leaders, and others wishing to pursue a doctorate focusing on mathematics education. This fully online program offers flexibility for working professionals from across the U.S. and around the world. Courses are taught by world-renowned mathematics education faculty. Courses focus on:

  • effective mathematics teaching
  • mathematical thinking and learning
  • equity in mathematics education
  • mathematics curriculum
  • problem solving
  • teaching mathematics with digital technologies
  • mathematics assessment
  • mathematics teacher education
  • research methods and their uses for improving mathematics education

Application Deadlines

Summer Feb 1

Admission Requirements

The Graduate Studies Office will accept unofficial transcripts and self-reported test scores for admission reviews. Any admission made with these documents would be conditioned on receipt of official documents, which should be provided as soon as possible.

If you are currently enrolled or have applied in the past year, you are eligible for a reduced application fee of $35. Learn more »

  • Bachelor’s degree from an accredited institution
  • Master’s degree from an accredited institution
  • Minimum undergraduate GPA of 2.75 out of 4.00
  • Personal statement
  • Two letters of recommendation
  • Minimum 79 TOEFL score or minimum 6.5 IELTS score or minimum 115 Duolingo score (international students only)

Learn more about how to apply

Program Requirements

  • Ed.D. in Curriculum and Instruction – Specialization in Mathematics Education (Online) Requirements

Costs listed are per credit hour.

2023-2024 Academic Year

Indiana Resident$500.17$39.00$539.17
Non-resident$599.51$39.00$638.51

2024-2025 Academic Year

Indiana Resident$520.17$39.00$559.17
Non-resident$623.49$39.00$662.49

Find more information and calculate your expected costs at Student Central .

Below is a list of potential resources for graduate students. Note: graduate assistantships are generally intended for students studying and working on the Bloomington campus.

  • Learn about the variety of fellowships and assistantships available to graduate students.
  • Visit Student Central for information about financial assistance.
  • Consult your employer about the availability of tuition reimbursement or tuition assistance programs.
  • Active duty military, veterans, and military families should visit the Center for Veteran and Military Students to take full advantage of available financial assistance and educational benefits.
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Ashley Powell is a K–12 instructional coach in the metro Atlanta area, where she develops and facilitates mathematics professional learning.

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Associate professor, adjunct associate professor in africana studies.

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Associate professor, dept. chair of urban teacher education.

Amy Hackenberg Professor ED 3060 ahackenb@iu.edu (812) 856-8223

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PhD in Mathematics

The PhD in Mathematics provides training in mathematics and its applications to a broad range of disciplines and prepares students for careers in academia or industry. It offers students the opportunity to work with faculty on research over a wide range of theoretical and applied topics.

Degree Requirements

The requirements for obtaining an PhD in Mathematics can be found on the associated page of the BU Bulletin .

  • Courses : The courses mentioned on the BU Bulletin page can be chosen from the graduate courses we offer here . Half may be at the MA 500 level or above, but the rest must be at the MA 700 level or above. Students can also request to use courses from other departments to satisfy some of these requirements. Please contact your advisor for more information about which courses can be used in this way. All courses must be passed with a grade of B- or higher.
  • Analysis (examples include MA 711, MA 713, and MA 717)
  • PDEs and Dynamical Systems (examples include MA 771, MA 775, and MA 776)
  • Algebra and Number Theory (examples include MA 741, MA 742, and MA 743)
  • Topology (examples include MA 721, MA 722, and MA 727)
  • Geometry (examples include MA 725, MA 731, and MA 745)
  • Probability and Stochastic Processes (examples include MA 779, MA 780, and MA 783)
  • Applied Mathematics (examples include MA 750, MA 751, and MA 770)
  • Comprehensive Examination : This exam has both a written and an oral component. The written component consists of an expository paper of typically fifteen to twenty-five pages on which the student works over a period of a few months under the guidance of the advisor. The topic of the expository paper is chosen by the student in consultation with the advisor. On completion of the paper, the student takes an oral exam given by a three-person committee, one of whom is the student’s advisor. The oral exam consists of a presentation by the student on the expository paper followed by questioning by the committee members. A student who does not pass the MA Comprehensive Examination may make a second attempt, but all students are expected to pass the exam no later than the end of the summer following their second year.
  • Oral Qualifying Examination: The topics for the PhD oral qualifying exam correspond to the two semester courses taken by the student from one of the 3 subject areas and one semester course each taken by the student from the other two subject areas. In addition, the exam begins with a presentation by the student on some specialized topic relevant to the proposed thesis research. A student who does not pass the qualifying exam may make a second attempt, but all PhD students are expected to pass the exam no later than the end of the summer following their third year.
  • Dissertation and Final Oral Examination: This follows the GRS General Requirements for the Doctor of Philosophy Degree .

Admissions information can be found on the BU Arts and Sciences PhD Admissions website .

Financial Aid

Our department funds our PhD students through a combination of University fellowships, teaching fellowships, and faculty research grants. More information will be provided to admitted students.

More Information

Please reach out to us directly at [email protected] if you have further questions.

  • Mathematics Education

Doctor of Philosophy (PhD)

Advance Your Career

The Ph.D. program emphasizes research and requires a written dissertation for completion. The program is individualized to meet the needs of graduate students. The student must develop, with the guidance from the major professor and committee, a program that is applicable to their background and interest. The average Ph.D. program requires 4-6 years beyond a master’s degree. The program is comprised of coursework in four major areas.

  • Mathematics or a related area
  • Cognate Area
  • Research Core

This residential program has rolling admission . Applications must be fully complete and submitted (including all required materials) and all application fees paid prior to the deadline in order for applications to be considered and reviewed. For a list of all required materials for this program application, please see the “ Admissions ” tab.

July 1 is the deadline for Fall applications.

November 15 is the deadline for Spring applications.

March 15 is the deadline for Summer applications.

*Those applicants interested in being considered for any available PhD funding should submit completed applications by December 1 for the following Fall semester.

Program at a Glance

  • Major/Department: Curriculum and Instruction
  • Research Area: Mathematics Education
  • Degree Objective: Doctor of Philosophy (PhD)
  • Program Delivery: Residential
  • Does this program lead to licensure? * No , this is a non-licensure program
  • Application Deadlines: July 1 (Fall), November 15 (Spring), March 15 (Summer)

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Mathematics Education Courses

15-18 credit hours

In mathematics education, students engage in courses that cover topics in the cognitive and cultural theories of learning and teaching mathematics, and the role of curriculum in mathematics education.

A three (3) course sequence is required that consists of:

  • EDCI 63500 – Goals and Content in Mathematics Education
  • EDCI 63600 – The Learning of Mathematics: Insights and Issues
  • EDCI 63700 – The Teaching of Mathematics: Insights and Issues

In addition, students are encouraged to take (6 – 9) hours of EDCI 620: Developing as a Mathematics Education Researcher

Related Course Work

Minimum of 6 credit hours

All students should have appropriate course work in mathematics, statistics, educational technology, or a related field. Students without a master’s level background in mathematics may be required to take more courses in mathematics. This will be determined by the student’s major professor and advisory committee.

9 credit hours

Students will take three graduate courses in a self-selected cognate area. Cognate area selection should be discussed with the student’s major professor and advisory committee. Possible cognate areas include: mathematics, psychology, philosophy, sociology, technology.

Research Core Courses

15 credit hours

All doctoral students in the Department of Curriculum and Instruction must complete five (5) courses from areas in research methodology and analysis before beginning their dissertation:

  • EDPS 53300 – Introduction to Research in Education
  • EDCI 61500 – Qualitative Research Methods in Education
  • STAT 51100 – Statistical Methods OR EDPS 55600 – Introduction to Quantitative Data Analysis
  • EDPS 63000 – Research Procedures in Education
  • Advance electives in either quantitative or qualitative methods

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In addition to a submitted application (and any applicable application fees paid), the following materials are required for admission consideration, and all completed materials must be submitted by the application deadline in order for an application to be considered complete and forwarded on to faculty and the Purdue Graduate School for review.

A completed master’s degree is required prior to admission.

Application Requirements

Here are the materials required for this application

  • Transcripts (from all universities attended)
  • Minimum undergraduate GPA of 3.0 on a 4.0 scale
  • 3 Recommendations
  • Academic Statement of Purpose
  • Personal History Statement
  • Writing Sample
  • International Applicants must meet English Proficiency Requirements set by the Purdue Graduate School

We encourage prospective students to submit an application early, even if not all required materials are uploaded. Applications are not forwarded on for faculty review until all required materials are uploaded.

How to Apply

When submitting your application for this program, please select the following options:

  • Select a Campus: Purdue West Lafayette (PWL)
  • Select your proposed graduate major: Curriculum and Instruction
  • Please select an Area of Interest: Mathematics Education
  • Please select a Degree Objective: Doctor of Philosophy (PhD)
  • Primary Course Delivery: Residential

This program does not lead to licensure in the state of Indiana or elsewhere. Contact the College of Education Office of Teacher Education and Licensure (OTEL) at [email protected] before continuing with program application if you have questions regarding licensure or contact your state Department of Education about how this program may translate to licensure in your state of residence.

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Amber brown, signe kastberg, rachael kenney, jill newton, questions contact the office of graduate studies at [email protected] ..

Applied Mathematics - Doctor of Philosophy (PhD)

Mathematics 3 Building

Mathematics 3 (M3) Building on Waterloo's Campus

Conduct mathematics-based research and generate new knowledge in a multidisciplinary environment with the PhD in Applied Mathematics program.

At North America’s only dedicated Faculty of Mathematics and the #1 school in Canada for mathematics and computer science, you’ll connect theoretical advances and innovative mathematics to develop novel solutions to the pressing problems facing today’s world.   

Through a combination of coursework and original research, you’ll learn cutting-edge applications of mathematical theory in a broad range of fundamental and applied sciences, with five areas of research to choose from including control theory and dynamical systems, fluid mechanics, mathematical medicine and biology, mathematical physics, and scientific computation.  

With the competitive edge provided by mentorship through the Faculty’s connections around the world, you’ll be prepar ed to pursue a career in academia, government or industry.  

Research areas and degree options:

  • Control and Dynamical Systems
  • Fluid Mechanics
  • Mathematical Medicine and Biology
  • Mathematical Physics
  • Scientific Computing

Program overview

Department/School : Applied Mathematics Faculty : Faculty of Mathematics Admit term(s) : Fall (September - December), Winter (January - April), Spring (May - August) Delivery mode : On-campus Program type : Doctoral, Research Length of program : 48 months (full-time) Registration option(s) : Full-time, Part-time Study option(s) : Thesis

Application Deadlines

  • January 15 (for admission in September)
  • June 1 (for admission in January of the following year)
  • October 1 (for admission in May of the following year)

Key contacts

[email protected]

Maliha Ahmed

I see all these great scholars around me, like my supervisor Sue Ann Campbell. And like Anita Layton, Ghazal Geshnizjani, my committee members, and so many others in the department. I see their passion for what they do and their dedication to helping us grad students succeed. It’s very heartening. It motivates me to reach that level where I can give back in the same way. Maliha Ahmed, Applied Mathematics, PhD

Supervisors

  • Review the  finding a supervisor resources

Admission requirements

  • Minimum grade point average: 78% or its equivalent
  • It is absolutely essential that the application for admission into the program contain evidence of potential for performing original research. This should be provided by successful completion of a Master's thesis in a mathematics-related discipline.
  • In some circumstances a student enrolled in the MMath program (thesis) in Applied Mathematics may transfer to the PhD program without completing their MMath program

Degree requirements

  • Review the   degree requirements   in the Graduate Studies Academic Calendar, including the courses that you can anticipate taking as part of completing the degree
  • Check out   Waterloo's institutional thesis repository - UWspace   to see recent submissions from the department of Applied Mathematics graduate students

Application materials

  • The SIF contains questions specific to your program, typically about why you want to enrol and your experience in that field. Review the  application documents web page  for more information about this requirement
  • If a statement or letter is required by your program, review the  writing your personal statement resources  for helpful tips and tricks on completion
  • Transcript(s)
  • Three  references , normally from academic sources
  • TOEFL 90 (writing 25, speaking 25), IELTS 7.0 (writing 6.5, speaking 6.5)

Tuition and fees

Visit the  graduate program tuition page  on the Finance website to determine the tuition and incidental fees per term for your program

Review living costs and housing

Review the   funding graduate school resources   for graduate students

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Mathematics Education, Ph.D.

  • Admissions & Financial Aid
  • Requirements

The doctoral degree in Mathematics Education prepares graduates to engage deeply in the research and practice of mathematics and STEM education and become leaders and advocates of inclusive, antiracist, and equitable mathematics learning.

This program, a partnership between the School of Education and Department of Mathematics , provides students with direct mentorship from mathematics education faculty as well as faculty in the areas of education and mathematics. Faculty are actively engaged in research around the teaching and learning of mathematics, and students are encouraged to work closely with faculty members on their research.

Suggested Application Deadline: January 15 or October 1 | More admissions information

Mathematics Education develops a community of scholars among faculty and students. We generally have around 10 doctoral students at various stages in the program from across the country and around the world; typically, half are international students. A weekly research seminar is held to connect all faculty and students.

Expertise in teaching and instruction is also developed through graduate assistantship and intern opportunities, and with participation in the Future Professoriate Program . This includes orientations, year-round services for teaching assistants, and opportunities to co-teach with fellow doctoral students and department faculty, guest lecture, and independent instruction. Students have many opportunities for pedagogical development and feedback through teaching and tutoring.

This program prepares students with strong mathematical interests and experiences for roles in research on the teaching and learning of mathematics, teacher preparation and professional development, and teaching mathematics and mathematics education courses.

Program Contacts

Breana Nieves Vergara

Mathematics Education PhD

Doctor of philosophy.

The Doctor of Philosophy (Ph.D.) degree emphasizes research competencies. The degree requires a scholarly dissertation of intellectual merit and sound research methodology. Dissertation research may include analytical studies of the process of teaching or experimental studies of the teaching-learning process, including studies of verbal learning and laboratory practice or historical studies.

A group of students converse in a study group at Teachers College.

Admissions Information

Displaying requirements for the Spring 2025, Summer 2025, and Fall 2025 terms.

  • Points/Credits: 75
  • Entry Terms: Spring, Summer, Fall
  • Enrollment Formats: Full-Time, Part-Time

Application Deadlines

Entry Term AvailablePriority DeadlinesFinal DeadlinesExtended Deadlines
SpringNovember 15, 2024November 15, 2024N/A
SummerDecember 1, 2024June 1, 2025N/A
FallDecember 1, 2024July 1, 2025N/A

Select programs remain open beyond our standard application deadlines , such as those with an extended deadline or those that are rolling (open until June or July). If your program is rolling or has an extended deadline indicated above, applications are reviewed as they are received and on a space-available basis. We recommend you complete your application as soon as possible as these programs can close earlier if full capacity has been met.

Application Requirements

 Requirement
  , including Statement of Purpose and Resume
 
 Results from an accepted (if applicable)
 $75 Application Fee
 Two (2) Letters of Recommendation

Requirements from the TC Catalog (AY 2023-2024)

Displaying catalog information for the Fall 2023, Spring 2024 and Summer 2024 terms.

View Full Catalog Listing

Doctoral Degrees

All candidates for the Ed.D., Ed.D.C.T., or Ph.D. degrees are expected to demonstrate both mathematics and mathematics education competencies through a series of certification examinations taken upon the completion of 60 graduate points. Certification examinations test the student’s knowledge of current research and theory in mathematics education and mathematics content. Examinations are offered once in the fall, spring, and summer terms. Courses recommended as preparation for the examinations in mathematics education include MSTM 6037,  MSTM 4019, and other mathematics education courses; Courses recommended as preparation for the examinations in mathematics are 6000- level mathematics content courses.

Students must demonstrate acceptable proficiency in at least three of the following six mathematics content areas: algebra, analysis, discrete mathematics, foundations of mathematics, geometry and topology, and probability and statistics. Students may sit for the examination in mathematics content during the regular certification examination times. Alternatively, they may register for advanced content courses and, with permission of the program, sit for the content area certification examination upon completion of the course. Incoming doctoral candidates should register for MSTM 6037 Professional Seminar in Mathematics during the first year of doctoral studies.

Doctoral students whose dissertations require statistical analysis should include appropriate statistics courses in their programs. These points can be included either in the mathematics/mathematics education requirement or can be taken as research electives.

Doctor of Philosophy in Mathematics Education

The Doctor of Philosophy (Ph.D.) degree emphasizes research competencies. The degree program requires a scholarly dissertation of intellectual merit and sound research methodology. Dissertation research may include analytical studies of the process of teaching or experimental studies of the teaching-learning process, including studies of verbal learning and laboratory practice or historical studies.

Candidates are encouraged to develop an association with a faculty member early in their studies to identify a problem area of mutual interest to plan a course of studies that leads to the competencies needed to complete dissertation research and prepare for a professional role. Further details are available in the brochures on doctoral studies and in the general descriptions of doctoral programs available from the Office of Doctoral Studies (ODS).

A program of study for the Doctor of Philosophy degree must include at least 45 points taken under Teachers College registration. In order to permit the acquisition of broad and basic scholarship, each program of study should include at least 60 points in mathematics, mathematics education, statistics, and computing. At least 35 points should be in advanced courses – including research courses (MSTM 6500 or 6501 and MSTM 7500). (Any Teachers College course at the 6000 level or above, any Columbia University Graduate School of Arts and Sciences course with a “G” prefix, any “W” course numbered above 4000, or any transferred course with a graduate-level prerequisite will be considered an advanced course.) Further, 15 points in the philosophical, psychological, and curricular foundations of education must be included in every Ph.D. degree program. Students whose dissertations require statistical analysis should include appropriate statistics courses in their programs. These points can be included either in the mathematics/mathematics education requirement or can be taken as research electives.

Candidates for the Ph.D. degree are required to demonstrate competency in two languages chosen from among French, German, and Russian. Students who require other languages for the preparation of their dissertation may petition the program to request one substitution. Students in mathematics may not use computer languages or statistics to satisfy the language requirement.

The Ph.D. dissertation is a scholarly study contributing new theoretical knowledge to the field and should be planned early in the program when sufficient advanced courses have been completed to permit the candidate to enroll in relevant research courses. Ph.D. dissertations in mathematics education should be (1) experimental studies in learning, (2) analytical studies in policy theory in mathematics education, or (3) other scholarly investigations of problems and issues of broad significance in the field.

The website of the Program offers a list of Topic study groups which doctoral students are recommended to join.

  • View Other Degrees

Program Director : Professor Alexander Karp

Teachers College, Columbia University 323 Thompson

Phone: (212) 678-3381 Fax: (212) 678-8319

Email: tcmath@tc.edu

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COMMENTS

  1. Best Mathematics Online PhD programs

    Learn about the benefits, career options, and quality of online PhD in Mathematics programs. Compare five universities that offer online PhD in Mathematics Education, Mathematics, or Computing and Mathematics.

  2. 2024 Best Online PhD in Mathematics [Doctorate Guide]

    Learn about the benefits, curriculum, and admissions requirements of earning a math PhD online. Explore the career paths and salaries of graduates with a doctorate degree in mathematics.

  3. Explore Top PhDs in Math Education Online: Best of 2024

    University of Wyoming. The University of Wyoming offers both Ed.D. and PhD in Math Education programs online. The Ed.D. program is an applied program, meaning there's a heavier focus on application than research. It prepares students to become hands-on mathematics leaders in school districts or other academic settings.

  4. Ph.D. Program

    Learn about the degree requirements, examinations, and dissertation for the Ph.D. program in Mathematics or Applied Mathematics at UC Berkeley. The program covers courses, written and oral exams, and research in various areas of mathematics.

  5. PhD Program

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  6. Best Online PhDs in Mathematics

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  7. Online Ph.D. Mathematics Programs for 2024

    Candidates for the Ph.D. in mathematics must complete at least 36 credits of graduate-level courses, as well as preliminary written and oral exams, 24 credits of thesis work, and a doctorate thesis with a final defense. A typical day for an online doctorate in mathematics student would entail the following:

  8. Applied Mathematics Doctoral Program

    The Applied Mathematics PhD Program has a very strong track record in research and training. Placement of PhD students has been outstanding, with recent PhD students taking tenure-track/tenured faculty jobs at institutions such as Carnegie Mellon, Columbia, Drexel, Purdue, Tsinghua, UC Santa Cruz, Utah, Washington and alike, as well as private sector jobs in leading financial and high-tech ...

  9. Harvard Mathematics Department Graduate Information

    Learn about the Math PhD program at Harvard University and the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences. Find out how to apply, get financial support, and join the Math community.

  10. Mathematics Education PhD

    Earn a Ph.D. in Curriculum and Instruction with a concentration in Mathematics Education at the University of Wyoming. Courses are offered online, allowing you to pursue research-oriented careers in university settings.

  11. Mathematics Education, PHD

    If you have questions related to admission, please click here to request information and an admission specialist will reach out to you directly. For questions regarding faculty or courses, please use the contact information below. [email protected]. 480/965-3951. A unit of. The College of Liberal Arts and Sciences.

  12. Guide To Graduate Study

    Learn about the Ph.D. program of the Harvard Department of Mathematics, which aims to help students develop their understanding and enjoyment of mathematics. Find out the requirements, stages, and resources for the program, such as courses, exams, language, teaching, and dissertation.

  13. Department of Mathematics at Columbia University

    Learn about the PhD program in mathematics at Columbia University, a leading research institution in New York City. Find out the admission requirements, financial aid, curriculum, and application process for this intensive and selective program.

  14. Applied Mathematics

    Graduate. Harvard School of Engineering offers a Doctor of Philosophy (Ph.D.) degree in Applied Mathematics. Doctoral students may earn the masters degree en route to the Ph.D. Students are drawn to Applied Mathematics by the flexibility it offers in learning about how to apply mathematical ideas to problems drawn from different fields, while ...

  15. Mathematics, PhD

    Degree awarded: PHD Mathematics. The PhD program in mathematics is intended for students with exceptional mathematical ability. The program emphasizes a solid mathematical foundation and promotes innovative scholarship in mathematics and its many related disciplines. The School of Mathematical and Statistical Sciences has very active research ...

  16. Doctor of Philosophy (PhD)

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  17. PhD in Mathematics

    Learn about the doctoral degree in Mathematics at Drexel, featuring research opportunities in pure and applied mathematics. Find out the curriculum, qualifying exam, candidacy exam, career options and how to apply.

  18. School of Education

    The fully online program is for experienced mathematics teachers, instructional leaders, and others wishing to pursue a doctorate focusing on mathematics education. The program offers flexibility for working professionals from across the U.S. and around the world. Courses are taught by world-renowned mathematics education faculty.

  19. PhD in Mathematics

    The requirements for obtaining an PhD in Mathematics can be found on the associated page of the BU Bulletin. Courses: The courses mentioned on the BU Bulletin page can be chosen from the graduate courses we offer here. Half may be at the MA 500 level or above, but the rest must be at the MA 700 level or above.

  20. Mathematics Education

    Signe Kastberg. Professor and Mary Endres Chair in Elementary Education Mathematics Education Curriculum and Instruction. Work Phone: (765) 494-2354 Work Email: [email protected]. Categories: CnI Online Fac, Curriculum and Instruction, Mathematics Education.

  21. Applied Mathematics

    Conduct mathematics-based research and generate new knowledge in a multidisciplinary environment with the PhD in Applied Mathematics program. At North America's only dedicated Faculty of Mathematics and the #1 school in Canada for mathematics and computer science, you'll connect theoretical advances and innovative mathematics to develop ...

  22. Mathematics Education, Ph.D.

    A doctoral program in mathematics and STEM education that prepares graduates to become leaders and advocates of inclusive, antiracist, and equitable mathematics learning. Students work with faculty on research, teaching, and professional development in the School of Education and the Department of Mathematics.

  23. Mathematics Education PhD

    Doctoral Degrees. All candidates for the Ed.D., Ed.D.C.T., or Ph.D. degrees are expected to demonstrate both mathematics and mathematics education competencies through a series of certification examinations taken upon the completion of 60 graduate points.

  24. Overview of the Ph.D. Program

    Learn about the Ph.D. program in mathematics at Texas A&M University, which offers a rigorous and diverse education in various areas of research. Find out the requirements, courses, exams, and steps to obtain the degree, either in the regular or interdisciplinary track.