Online Ph.D. Mathematics

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Nikita Nath

Nikita is a psychologist working primarily with children using a child rights-based approach. She also writes content for various websites and blogs on diverse topics, focusing primarily on academia. Her hobbies include traveling, reading, and discovering different coffee-making techniques.

Degrees

Bachelors in English, Journalism, and Psychology; Masters in psychology with clinical specialization

nikitanath8@gmail.com

Areas of Expertise & Credentials

2 years of experience working as a content writer with various start-ups
1 year of experience working as a child psychologist with Insight
Working on various projects of inclusion for neurodivergent children
2+ years of experience teaching psychology online

Last Updated: February 12, 2023

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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.

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)

Princeton University(On-Campus)

Harvard University(On-Campus)

Stanford University(On-Campus)

University of California-Berkeley(On-Campus)

California Institute of Technology(On-Campus)

Columbia University(On-Campus)

New York University(On-Campus)

University of California(On-Campus)

University of Michigan-Ann Arbor(On-Campus)

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
Ph.D. in Mathematics (Education Emphasis)	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.
Ph.D. in Mathematics, specialization in Statistics (Online Ph.D. statistics)	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
Ph.D. in Math specializing in Algorithms, Combinatorics, and Optimization (ACO)	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.
Ph.D. in Computational Sciences and Engineering	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
Ph.D. in Machine Learning (ML)	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
Ph.D. in Bioinformatics	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?

Free Courses for Online Ph.D. in
Mathematics Students

Course	Description	Provided by
Introduction to Linear Models and Matrix Algebra	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.	Harvard Univ
Statistical Inference and Modeling for High-throughput Experiments	In 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.	Harvard Univ
Graph Theory and Additive Combinatorics	This 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.	MIT
Numerical Methods for Partial Differential Equations	The 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.	MIT

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

Online Ph.D. Mathematics No
GRE Programs

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

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

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

Fully Funded Online Ph.D.
Mathematics Programs

FAQs Related to the Online Ph.D.
Mathematics Program

Can you get a PH.D. in math online?

Is a Ph.D. in math worth it?

Is doing a Ph.D. in math difficult?

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

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

Do mathematicians make good money?

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

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

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

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:

Occupation	Job Description	Skills Required	Median Annual Salary	Job Growth (up to 2030)
Financial Analysts	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	$81,410	6% (as fast as average)
Market Research Analysts	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	$63,920	22% (much faster than average)
Advertising, Promotions, and Marketing Managers	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	$133,380	10% (as fast as average)
Financial Managers	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	$131,710	17% (much faster than average)
Computer and Information Research Scientists	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	$131,490	22% (much faster than average)

Certifications and Licensing for Online
Ph.D. Mathematics Graduates

Additional Resources for Online Ph.D.
Mathematics Graduates

Title/Resource	Description
Research Council on Mathematics Learning (RCML)	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.
Society of Actuaries (SOA)	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.
Mathematical Association of America (MAA)	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.
The Conference Board of the Mathematical Sciences (CBMS)	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.
Society for Industrial and Applied Mathematics (SIAM)	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.

Author Bio:

Nikita Nath

Nikita is a psychologist working primarily with children using a child rights-based approach. She also writes content for various websites and blogs on diverse topics, focusing primarily on academia. Her hobbies include traveling, reading, and discovering different coffee-making techniques.

Degrees

Bachelors in English, Journalism, and Psychology; Masters in psychology with clinical specialization

nikitanath8@gmail.com

Areas of Expertise & Credentials

2 years of experience working as a content writer with various start-ups
1 year of experience working as a child psychologist with Insight
Working on various projects of inclusion for neurodivergent children
2+ years of experience teaching psychology online

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. | Page last updated: Dec 2023.

Univ	Address	Tuition	Grad Rate
Massachusetts Institute of Technology(On-Campus)	77 Massachusetts Avenue, Cambridge, Massachusetts 02139	$55,510	96%

Univ	Address	Tuition	Grad Rate
Princeton University(On-Campus)	1 Nassau Hall, Princeton, New Jersey 08544	$56,010	98%

Univ	Address	Tuition	Grad Rate
Harvard University(On-Campus)	Massachusetts Hall, Cambridge, Massachusetts 02138	$50,928	97%

Univ	Address	Tuition	Grad Rate
Stanford University(On-Campus)	Stanford, California 94305	$54,315	96%

Univ	Address	Tuition	Grad Rate
University of California-Berkeley(On-Campus)	200 California Hall, Berkeley, California 94720	$11,442	93%

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

Online Ph.D. Mathematics

By Nikita Nath

Updated February 12, 2023

Degrees

Areas of Expertise & Credentials

On this page

Back to top

Best Online Ph.D. MathematicsPrograms

What to Expect from Online Ph.D.Mathematics Programs

Numerical analysis

Financial Mathematics

Machine Learning

Algorithms, Combinatorics, and Optimization

Computational Fluid Dynamics

Areas of Specialization for OnlinePh.D. Mathematics Programs

Why should I do an OnlinePh.D. Mathematics?

Free Courses for Online Ph.D. inMathematics Students

How to get into the OnlinePh.D. Mathematics?

Online Ph.D. Mathematics NoGRE Programs

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

Accelerated Online Ph.D. MathematicsPrograms

Accreditations for Online Ph.D.Mathematics Programs

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

Fully Funded Online Ph.D.Mathematics Programs

FAQs Related to the Online Ph.D.Mathematics Program

Can you get a PH.D. in math online?

Is a Ph.D. in math worth it?

Is doing a Ph.D. in math difficult?

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

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

Do mathematicians make good money?

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

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

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

Career Opportunities and Salaries after obtainingan Online Ph.D. Mathematics

Certifications and Licensing for OnlinePh.D. Mathematics Graduates

Additional Resources for Online Ph.D.Mathematics Graduates

Author Bio:

Degrees

Areas of Expertise & Credentials

Disclaimer:

Best Online Ph.D. Mathematics
Programs

What to Expect from Online Ph.D.
Mathematics Programs

Areas of Specialization for Online
Ph.D. Mathematics Programs

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

Free Courses for Online Ph.D. in
Mathematics Students

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

Online Ph.D. Mathematics No
GRE Programs

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

Accelerated Online Ph.D. Mathematics
Programs

Accreditations for Online Ph.D.
Mathematics Programs

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

Fully Funded Online Ph.D.
Mathematics Programs

FAQs Related to the Online Ph.D.
Mathematics Program

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

Certifications and Licensing for Online
Ph.D. Mathematics Graduates

Additional Resources for Online Ph.D.
Mathematics Graduates