The Master of Science degree concentration in Applied Mathematics is designed to develop critical thinking, intuition, and advanced experience in the techniques of mathematical analysis and their application to the problems of industry and technology. Skills are developed to deal with technical problems encountered in industry, business, and government and to hold leadership positions therein; to teach Applied Mathematics at the undergraduate or community college level; and to potentially study Applied Mathematics leading to the Ph.D. degree.

**Concentration Requirements**

A candidate for the Master of Science degree concentration in Applied Mathematics must complete at least 30 semester hours of graduate work approved by the department Graduate Committee to include:

**Core Requirements (21 hours)**

- MATH 5143 Analysis I (3)
- MATH 5144 Analysis II (3)
- MATH 5165 Numerical Linear Algebra (3)

*One elective in Numerical Analysis selected from:*

- MATH 5171 Numerical Solution of Ordinary Differential Equations (3)
- MATH 5172 The Finite Element Method (3)
- MATH 5176 Numerical Methods for Partial Differential Equations (3)

*One elective in Advanced Analysis selected from:*

- MATH 7141 Complex Analysis I (3)
- MATH 7143 Real Analysis I (3)
- MATH 7144 Real Analysis II (3)

*Two electives in Advanced Applied Mathematics selected from:*

- MATH 7172 Partial Differential Equations (3)
- MATH 7176 Advanced Numerical Analysis (3)
- MATH 7177 Applied Optimal Control (3)
- MATH 7178 Computational Methods for Fluid Dynamics (3)
- MATH 7179 Advanced Finite Difference Methods (3)
- MATH 7273 Advanced Finite Element Analysis (3)

**Electives (6 hours)**

*One advanced elective from: *

- MATH 7141 Complex Analysis I (3)
- MATH 7143 Real Analysis I (3)
- MATH 7144 Real Analysis II (3)
- MATH 7172 Partial Differential Equations (3)
- MATH 7176 Advanced Numerical Analysis (3)
- MATH 7177 Applied Optimal Control (3)
- MATH 7178 Computational Methods for Fluid Dynamics (3)
- MATH 7179 Advanced Finite Difference Methods (3)
- MATH 7273 Advanced Finite Element Analysis (3)
- MATH 7893 Thesis (0-3)

*One elective in Mathematics or a suitable area of application to be selected with the approval of the student's advisor. Suggested electives include:*

- STAT 5123 Applied Statistics I (3)
- MEGR 6116 Fundamentals of Heat Transfer and Fluid Flow (3)
- MEGR 6141 Theory of Elasticity I (3)
- MEGR 7112 Radiative Heat Transfer (3)
- MEGR 7114 Advanced Fluid Mechanics (3)

**Research Seminar (3 hours)**

All candidates for the degree concentration must complete three hours of MATH 7691 (Research Seminar) in which they carry out an independent project under the supervision of a member of the graduate faculty. The project could involve a specific application to a concrete problem of techniques identified in the literature or studied in other courses. All projects are subject to prior approval of the department Graduate Committee and must be successfully defended before a committee of three graduate faculty members appointed by the department Graduate Committee.

**Assistantships**

A number of graduate assistantships are available each year (with nationally-competitive stipends) for qualified applicants. A limited number of fellowship awards can be applied to supplement these stipends for especially qualified students.

**Thesis**

A student may choose to expand the work begun in MATH 7691 into a master's thesis by registering for three hours of MATH 7893 to fulfill the 15-hour 7000-level course requirement described above. This thesis option affords the student the opportunity to do professional/scholarly work demonstrating proficiency in the area of Applied Mathematics.

**Comprehensive Examination**

Each candidate for the degree concentration in Applied Mathematics must perform satisfactorily on a final comprehensive examination. This examination will be set and administered by a committee appointed by the department Graduate Committee. It may be in either written or oral form, and it will cover those areas of study and/or research deemed appropriate by the committee.