Applied Mathematics, MS

Program Description

The Applied Mathematics Graduate Program provides students with a thorough introduction to application-oriented mathematics, preparing students for industrial employment or further graduate work. A typical program of study includes courses in numerical analysis, computational mathematics, methods of applied mathematics, modeling, optimization, discrete mathematics, and probability and statistics. Coursework in an area of application, such as computer science, engineering, or physics is encouraged.

Admission Requirements

Applicants for this program are expected to meet the general requirements for admission to graduate study established by The Graduate School. Applicants should also have completed an undergraduate degree in mathematics or a technical discipline, including courses in multivariable calculus, differential equations, and linear algebra.

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Program Requirements:

The Master of Science degree may be earned by satisfying the requirements of the mathematics or the applied mathematics option. The mathematics option is a flexible program emphasizing advanced mathematical concepts in the core areas of mathematics. Students may either complete a traditional curriculum in mathematics or develop, with a graduate advisor, a plan of study that is tailored to their individual needs. Either option can provide a solid foundation for doctoral study in mathematics or for a career in teaching, industry, or government.

All master’s degree candidates are required to pass comprehensive written examinations. The department makes provision for part-time degree candidates by offering courses in the late afternoon or evening.

Applied Mathematics Concentration

The Master of Science degree program in Applied Mathematics option is designed for students with an undergraduate degree in engineering, science, mathematics or statistics, who wish to acquire a solid foundation in applied mathematics. The applied mathematics option is structured but still allows students considerable latitude in designing a course of study. The option focuses on the computational tools of modern applied mathematics and the mathematical theory underlying these tools. It can provide a solid foundation for doctoral study in mathematics or for a career in teaching, industry, or government.

In addition to the undergraduate degree, applicants for admission to the Applied Mathematics program should have completed courses in multivariable calculus, ordinary differential equations and linear algebra. Students should also have some experience with computer programming or the use of computational software packages. Courses in partial differential equations and physics are desirable. Applicants with insufficient preparation may be admitted on the condition that they complete certain prerequisite work to be specified by the department at the time of admission.

The M.S. degree in Applied Mathematics requires 30 semester credits of course work chosen so as to satisfy the following program requirements.

I. Required Core Courses: 13 Hours

MTH 6060 - Mathematical Modeling Credit Hour(s): 3
MTH 6810 - Continuous Dynamical Systems Credit Hour(s): 3
MTH 6820 - Methods in Applied Mathematics Credit Hour(s): 3
MTH 7160 - Numerical Linear Algebra Credit Hour(s): 4

II. Departmental Electives: 17 Hours

Two courses chosen from: 7 Hours

MTH 6070 - Optimization Techniques Credit Hour(s): 3
MTH 7310 - Real Analysis I Credit Hour(s): 4
MTH 7320 - Real Analysis II Credit Hour(s): 4
MTH 7770 - Applied Analysis Credit Hour(s): 4
STT 7020 - Applied Stochastic Processes Credit Hour(s): 3
CS 7220 - Computability and Complexity Credit Hour(s): 3

Additional Electives: 10 Hours

Additional MTH and STT electives from a list of approved courses.

Students must complete one full-year sequence of 7000-level MTH courses.

Notes:

With the permission of an advisor, stuednts may use courses outside the Department of Mathematics and Statistics as electives, or complete a mathematical modeling project (4-6 credits).

Students completing a project must give an oral presentation describing project results and pass two (2) 90-minute comprehensive examinations over selected coursework. Students not completing a project must pass three (3) 90-minute comprehensive examinations over selected coursework.

Total: 30 Hours

*Certain other courses may be permitted as substitutions with advisor approval. Such courses may be offered by departments other than the Department of Mathematics and Statistics.