The Master of Science in Mathematics with Concentration in Applied Mathematics program 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.

#### Additional Admission Requirements

In addition to the general requirements for admission to the Graduate School, applicants for the Concentration in Applied Mathematics must present evidence of the satisfactory completion of at least 27 credit hours of mathematics approved by the department Graduate Committee.

#### Concentration Requirements

A candidate for the M.S. in Mathematics with Concentration in Applied Mathematics degree must complete at least 30 credit hours of graduate work approved by the department Graduate Committee to include:

##### Core Courses (21 credit hours)

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

###### Numerical Analysis Courses

*Select one of the following:*

- 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)

###### Advanced Analysis Courses

*Select one of the following:*

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

###### Advanced Applied Mathematics Courses

*Select two of the following:*

- 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 7180 - Advanced Numerical Methods in Scientific Computing (3)
- MATH 7273 - Advanced Finite Element Analysis (3)

###### Advanced Elective Courses

*Select one of the following:*

- 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 7180 - Advanced Numerical Methods in Scientific Computing (3)
- MATH 7273 - Advanced Finite Element Analysis (3)
- MATH 7994 - Master’s Thesis Research (3)

###### Mathematics or Application Elective Courses

*Select one Mathematics or suitable area of application course 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)

##### Directed Project (3 credit hours)

All candidates for the degree concentration must complete three hours of a Directed Project in Mathematics course 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.

- MATH 7892 - Directed Project in Mathematics (1 to 3)

#### 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 7892 into a master’s thesis by registering for 3 credit hours of MATH 7994 to fulfill the advanced elective 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. The thesis defense is the comprehensive examination for those students who select the thesis option.