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Applied Mathematics

Applied Mathematics

Program Description

The aim of this Master’s degree program is to provide a balanced foundational education in mathematical and statistical analysis, an understanding of appropriate applications of the theory, and some depth in an area of specialization. The program, which requires a thesis, usually takes 18 months to complete and is designed for students who have completed an undergraduate major in mathematics or statistics. However, students from other disciplines who have a strong record in mathematics will usually find their preparation to be adequate. For those with weaker mathematics backgrounds, completing the program will normally take longer than 18 months.

The core courses common to all Applied Mathematics master of science degree options are STAT 601 (Theory of Probability), STAT 602 (Mathematical Statistics), MATH 601 (Complex Analysis), and either MATH 600 (Mathematical Analysis) or MATH 602 (Modern Applied Mathematics I). The student will specialize in analysis, statistics, or numerical analysis by taking three courses within the specialty area.

The department believes that the applied nature of the program is enhanced by interaction with at least one other department in the Graduate School of Engineering and Management. Therefore, an out-of-department sequence (minimum of eight hours) taken from another department is required, and serves to help the future applied mathematician gain an appreciation for communicating with other scientists and engineers. In addition, the thesis project is invariably linked to an Air Force or Defense Department organization, further enhancing the student’s appreciation for and experience in working with the non-mathematician.

Admissions Requirements

Degree Required: Bachelor’s in mathematics or statistics, or in science or engineering with a strong background in mathematics.

Mathematics Required: A senior-level mathematical analysis course.

Test Required: GRE - 153V/148Q (within the last five years)

GPA Required: Overall - 3.0; Mathematics - 3.0; Major - 3.0

Waivers to the above criteria may be granted on a case-by-case basis. Therefore, individuals whose academic credentials fall below any of the above criteria are encouraged to apply.

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Outcomes & Objectives

Program Educational Objectives (PEOs)

Graduates are well-prepared to use mathematical and statistical techniques to make significant progress toward solving problems of interest to the AF, DoD and DHS. They are equipped to collaborate with the science and technology community to address questions of national defense and security.

 

Program Outcomes (POs)

Graduates will be able to:

  • Understand an applied problem well enough to give a mathematical formulation of it
  • Analyze a new problem rigorously and propose credible solutions
  • Communicate mathematical concepts effectively by written and oral means

Degree Information

Degree Type: Master's


Delivery Method: In-Residence


Degree Requirements

  • Core coursework (16 hours)
  • Out-of-department sequence (8 hours)
  • Specialization (12 hours)
  • Thesis research (12 hours)

Graduate School Catalog

Faculty Research Areas

  • APPLIED STATISTICS
  • INFORMATION FUSION
  • STATISTICAL DATA ANALYSIS
  • APPLIED MATHEMATICS
  • BIOSTATISTICS
  • COMPUTATIONAL FLUID DYNAMICS
  • FRAME THEORY
  • NONLINEAR WAVES
  • NUMERICAL ANALYSIS
  • PARTIAL DIFFERENTIAL EQUATIONS
  • RELIABILITY MODELING AND ANALYSIS
  • STOCHASTIC MODELING
  • DESIGN OF EXPERIMENTS
  • REGRESSION
  • NUMERICAL SIMULATION
  • NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
  • HARMONIC ANALYSIS
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Air Force Institute of Technology
2950 Hobson Way
Wright-Patterson Air Force Base, OH 45433-7765
Commercial: 937-255-6565 | DSN: 785-6565