# MS Program

## Master of Science in Mathematics

TCU’s Master of Science (MS) degree in mathematics features both a pure and an applied track. The pure track primarily prepares students for doctoral work in mathematics, whereas the applied track equips students with mathematical tools applicable in industry. The program provides a broad knowledge of mathematics and its history, teaches problem solving skills and exposes students to the general philosophy of mathematics. The pure track includes 36 hours of graduate mathematics courses; the applied track allows up to six hours of approved graduate science courses to count toward the 36-hour total. Class sizes are small and the courses are scheduled in a flexible manner to accommodate part-time students. Award-winning teachers, faculty expertise in a wide range of research areas and abundant opportunities for one-to-one student and faculty interaction characterize our program.

**Program Details**

**Basic Coursework: **The MS program consists of 36 hours of graduate coursework. In accordance with TCU policy, a grade point average of at least 2.75 must be maintained with no more than two grades of C+ or lower being to satisfy the degree requirement. Also, only five courses may be taken at the 50000-level; other classes must be at the 60000-level or higher. Mathematics coursework must include the following:

- MATH 50253: Abstract Algebra I
- MATH 50403: Complex Analysis
- MATH 50503: Real Analysis I
- MATH 60513: Real Analysis II
- MATH 60223: Applied Linear Algebra

An advanced student may be waived from any or all of these required courses by passing the corresponding Ph.D. preliminary exam(s) or otherwise showing proficiency in the material, as determined by the department.

**Specialized Coursework: **In addition to the five core courses, at least four courses are to be chosen from either the Pure Mathematics Option or the Applied Mathematics Option:

**Pure Mathematics Track: **This track of the master’s program prepares students for careers in academia. Each student selecting this track must take at least four of the pure mathematics courses listed below:

- MATH 50323: Differential Geometry
- MATH 50703 Number Theory
- MATH 60263 Abstract Algebra II
- MATH 60313 Topology
- MATH 60323 Algebraic Topology I
- MATH 60413 Advanced Complex Analysis
- MATH 60523 Measure Theory
- Any MATH 70000+ level 3-hour course

**Applied Mathematics Track: **This track of the master’s program prepares students for careers outside academia. Each student selecting this track must take at least four applied mathematics courses from the list below:

- MATH 50613 Partial Differential Equations
- MATH 50623 Applied Mathematics I
- MATH 60103 Graph Theory
- MATH 60543 Numerical Analysis
- MATH 60553 Modern Fourier Analysis
- MATH 60603 Game Theory
- MATH 60613 Differential Equations of Mathematical Physics
- MATH 60633 Applied Mathematics II
- MATH 60643 Dynamical Systems and Applications

These courses feature applications to sciences outside of mathematics. Up to 6 hours of the applied mathematics courses may be substituted with graduate coursework taken in the departments of Biology, Chemistry, Computer Science, Engineering, Environmental Science, Geology or Physics & Astronomy, with approval from the student’s graduate adviser in the Department of Mathematics.

**Master’s Thesis or Electives: **The student may choose either to write a master’s thesis (3 hours of MATH 70980 and 3 hours of MATH 70990) and complete 3 hours of approved elective coursework, or to complete 9 hours of approved elective coursework. The thesis should be written over two semesters and approved by the department.

The thesis need not contain original research, but must demonstrate a deep and thorough understanding of some area of mathematics.

For more information, contact

Ken Richardson

Director of Graduate Studies in Mathematics

TCU Box 298900

Fort Worth, TX 76129

817-257-6128

k.richardson@tcu.edu