Doctor of Philosophy in Mathematics The University of Texas at Dallas
The Mathematics Ph.D. degree curriculum at The University of Texas at Dallas offers extensive coursework and intensive research experience in theory, methodology, and applications of mathematics. During their study, Ph.D. students acquire the necessary skills to prepare them for high-level careers in fields requiring mathematical sophistication. The Ph.D. program is designed to accommodate the needs and interests of the students. The student must arrange a course program with the guidance and approval of the graduate advisor. Adjustments can be made as the student’s interests develop and a specific dissertation topic is chosen.
Some of the broad research areas represented in mathematics are as follows: algebraic and complex geometry; analysis and its applications; control theory and optimization; dynamical systems and ordinary differential equations; differential geometry; mathematical physics; mathematical methods in medicine, biology, geosciences, and mechanics; numerical analysis and scientific computing; partial differential equations; and topology.
The student must arrange a course program with the guidance and approval of the graduate advisor. A minimum of 75 semester credit hours beyond the bachelor's degree is required.
The following five courses have to be taken by each student:
- MATH 6301 Real Analysis
- MATH 6302 Functional Analysis I
- MATH 6303 Theory of Complex Functions I
- MATH 6311 Abstract Algebra I
- MATH 6315 Ordinary Differential Equations
Each student should take at least six courses from the following list:
- MATH 6309 Differential Geometry
- MATH 6310 Topology
- MATH 6312 Graph Theory and Combinatorics
- MATH 6313 Numerical Analysis
- MATH 6316 Differential Equations
- MATH 6318 Numerical Analysis of Differential Equations
- MATH 6319 Principles and Techniques in Applied Mathematics I
- MATH 6320 Principles and Techniques in Applied Mathematics II
- MATH 6321 Optimization
- MATH 6325 Nonlinear Analysis I
- MATH 6340 Numerical Linear Algebra
- MATH 6342 Scientific Computing
- MATH 7313 Partial Differential Equations I
- MATH 7319 Functional Analysis II
- MATH 7361 Algebraic Geometry and Nonlinear Equations
Electives and Dissertation
At least an additional four courses designed for the student's area of specialization are taken as electives in a degree plan designed by the student and the graduate advisor (or the student's Ph.D. advisor). This plan is subject to approval by the Department Head. The student must pass a Ph.D. Qualifying Examination and the oral examination in accordance with departmental policies in order to continue in the Ph.D. program. Finally, a dissertation is required and must be approved by the graduate program.
There must be available a dissertation research advisor or group of dissertation advisors willing to supervise and guide the student. A dissertation Supervising Committee should be formed in accordance with the UT Dallas policy memorandum.
Graduates of the program seek positions such as professor in an academic institution, or professional in the industry, government or finance, and researcher in the public or private sectors. Available emphases ensure that candidates can tailor their future careers by having targeted their educational background to their research interests.
The jobs of a mathematician consistently appear among the top jobs in the rankings of 200 jobs by CareerCast’s Jobs Rated Almanac based upon factors such as work environment, income, hiring outlook, and stress. For more information about careers in mathematics, view the career page of the American Mathematical Society.
English Language Requirements
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