Each graduate student selects three or more faculty members to serve on a supervisory committee. The chair of this committee is the student's major advisor. The student works with the members of the supervisory committee to develop a program of study that both meets the degree requirements and is appropriate for the student's career goals. The student's major advisor works closely with the student on the research for, and the writing of, the thesis.

- 3 semester hours of 6000-level Algebra
- 3 semester hours of 6000-level Analysis
- Two one-year approved sequences (chosen from the list below) totaling 12 semester hours
- A written thesis and 6 semester hours of thesis credit
- A minimum of 30 graduate semester hours, including at least 21 hours at the 6000 level.

- 3 semester hours of 6000-level Algebra
- 3 semester hours of 6000-level Analysis
- 3 semester hours of MATH 6991 Research and Independent Study
- Three one-year approved sequences (chosen from the list below) totaling 18 semester hours
- A Comprehensive Examination in two of the three subject areas covered by the three required sequences. Selection of the two areas of the examination will be left to the graduate student and to the graduate student's advisor subject to the approval of the student's Graduate Advisory Committee.
- A minimum of 33 graduate semester hours, including at least 24 hours at the 6000-level.

- MATH 6010-6020 Functional Analysis
- MATH 6070-6080 Applied Linear Statistical Methods I and II
- MATH 6110-6120 Abstract Algebra I and II
- MATH 6170-6180 Experimental Design I and II
- MATH 6210-6220 Topology I and II
- MATH 6310-6320 Complex Analysis I and II
- MATH 6370-6380 Probability Theory and Stochastic Processes I and II
- MATH 6410-6420 Real Analysis I and II
- MATH 6450 Advanced Theory of Computation and MATH 6460 Computational Methods for Graphics and Modeling
- Any two of the following courses (four must be taken in order to complete two sequences):
- MATH 6510 Finite Difference Solutions of Partial Differential Equations
- MATH 6520 Finite Element Solutions of Partial Differential Equations
- MATH 6810 Partial Differential Equations
- MATH 6540 Calculus of Variations and Applications
- MATH 6610 Operational Mathematics

- MATH 6910-6920 Special Topics

Graduate students are expected to participate in the Graduate Seminar where they present talks related to their course work and/or thesis.

**Note:** Most 4000/5000 and 6000 level courses are not offered each semester, so please consult our course offerings page when planning a schedule of coursework.