M.S. in Mathematics with Concentration in Applied Mathematics

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.