Mathematics, Ph.D.
Seventy-two semester hours of approved graduate courses are required for the Ph.D. degree in mathematics (see below). Other requirements include passing a Qualifying Exam in two of the four year-long core areas (abstract algebra, applied mathematics, real variables, and topology), passing a Preliminary Examination administered by a committee headed by the student’s dissertation advisor, and a successful defense of a dissertation. No foreign language is required for the Ph.D. degree.
Core Curriculum
| Code | Title | Hours |
|---|---|---|
| Core Courses | ||
| Students must earn a grade of B or better in each of the seven core courses. | ||
| MTH 5310 | Advanced Abstract Algebra I | 3 |
| MTH 5323 | Theory of Functions of Real Variables I | 3 |
| MTH 5330 | Topology | 3 |
| MTH 5350 | Complex Analysis | 3 |
| Select three courses from the following: | 9 | |
| Advanced Abstract Algebra II | ||
| Theory of Functions of Real Variables II | ||
| Algebraic Topology I | ||
| Applied Mathematics I | ||
| Applied Mathematics II | ||
| Dissertation | ||
| MTH 6V99 | Dissertation | 12 |
| Electives | ||
| Select 39 semester hours from the following: | 39 | |
Any 4000-level MTH course carrying graduate credit or higher | ||
Any 5000-level or higher STA course | ||
Or other graduate electives only as approved by the Department of Mathematics | ||
| Total Hours | 72 | |