PhD in Mathematics: Online and Campus-Based Programs

PhD programs in mathematics are widely available at accredited colleges and universities; however, they are not offered online. Read on to learn about PhD degree programs, common curricula, and prerequisites for this degree program. Schools offering Mathematics degrees can also be found in these popular choices.

What Kind of Mathematics Programs Are Available to Ph.D. Students?

Doctor of Philosophy (Ph.D.) programs are available in applied mathematics, which focuses on problems in the real world, and pure mathematics, which is concerned with theoretical calculations. Both types of programs can prepare you for a career in college instruction or academic research. Distance learning options in mathematics are available at the undergraduate and master's levels, but, due to research aspects, Ph.D. programs are not available online.

Degree Programs Applied mathematics and pure mathematics
Curriculum Probability, differential equations, dynamic systems; research-based methodology in number theory (pure mathematics) or chaos theory (applied mathematics)
Prerequisites Bachelor's degree in mathematics, completion of classes relevant in theory and mathematics; GRE results

What Will I Learn?

Whether enrolled in a program in applied or pure mathematics, you can expect to complete courses in probability, differential equations and dynamic systems. You'll also learn to conduct functional and numerical analysis. Research projects typically are included in Ph.D. programs. The scope of research you can conduct as a Ph.D. student will depend on the type of program in which you're enrolled. For example, traditional mathematics programs might allow you to study number theory, algebra or discrete mathematics, while, in an applied mathematics program, you might study chaos theory, computational methods, fluid dynamics, computer modeling or mathematical ecology.

What Do I Need to Enroll?

A bachelor's degree in mathematics, economics, applied mathematics or natural science generally is needed to enroll in a doctoral program in mathematics or applied mathematics. Applicants should have completed undergraduate coursework in calculus, algebra and linear equations. Aside from strictly math-based classes, you also can prepare for Ph.D. studies by completing coursework in economics, computer science, engineering or physics. If you're pursuing entry to a Ph.D. program and only have a bachelor's degree, you'll likely need to complete advanced courses in geometry, numerical analysis and statistics to meet requirements for a Ph.D. program in pure or applied mathematics. Often, Graduate Record Examination (GRE) scores also are required, and some schools won't accept you as a doctoral student unless you've scored above the 80th percentile.

To continue researching, browse degree options below for course curriculum, prerequisites and financial aid information. Or, learn more about the subject by reading the related articles below:

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