Each student will choose four areas from the list A -- M below. Normally, the student will complete at least six
hours of graduate courses in each of these areas. Students in a mathematics track must choose at least two areas from
A -- D and at least one area from E - M, while students in a statistics track must choose at least two areas from E --
H and at least one area from A -- D or I -- M. The areas and typical course sequence in each area are listed below.
A. Algebra
- MA 8113 - Modern Higher Algebra I
- MA 8123 - Modern Higher Algebra II
B. Real Analysis
- MA 8633 - Real Analysis I
- MA 8643 - Real Analysis II
C. Functional Analysis
- MA 8663 - Functional Analysis I
- MA 8673 - Funcational Analysis II
D. Topology
- MA 8913 - Introduction to Topology I
- MA 8923 - Introduction to Topology II
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E. Multivariate Statistics
- ST 8413 - Multivariate Statistical Methods
- ST 8423 - Multivariate Analysis
F. Statistical Inference
- ST 9733 - Statistical Inference
- ST 9723 - Nonparametric Statistical Inference I
G. Linear Models
- ST 8613 - Linear Models I
- ST 8633 - Linear Models II
H. Design of Experiments
- ST 8853 - Advanced Design of Experiments I
- ST 8863 - Advanced Design of Experiments II
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I. Probability and Stochastic Processes
- ST 9533 - Probability Theory
- ST 8543 - Stochastic Processes
J. Ordinary Differential Equations
- MA 8313 - Ordinary Differential Equations I
- MA 8323 - Ordinary Differential Equations II
K. Partial Differential Equations
- MA 8333 - Partial Differential Equations I
- MA 8343 - Partial Differential Equations II
L. Numerical Analysis
- MA 8473 - Advanced Numerical Analysis I
- MA 8483 - Advanced Numerical Analysis II
M. Complex Analysis
- MA 8713 - Complex Analysis I
- MA 8723 - Complex Analysis II
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In addition to the courses in his/her four areas, the student will normally complete at least nine to twelve hours of
graduate courses (8000 and above) in an area of specialization which will be the area of research for the Ph.D.
dissertation.
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