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Applied Mathematics

Applied Mathematics

Program Description

The aim of the doctoral program is to provide comprehensive knowledge of existing theory and how it applies to problems in science and engineering along with the opportunity to extend the world’s knowledge significantly beyond those bounds. A student seeking a Doctor of Philosophy degree should have a Master’s degree in mathematics, statistics, science, or engineering. Being an applied program, particular emphasis is placed on educating students to recognize the relevance of analytical and numerical methods to the solution of specific problems and to enable them to develop new methods when they are needed.

The education aims to produce an applied mathematician or applied statistician with the ability to develop new theoretical results and apply them as the need arises. Central to this goal is the research part of the program. Both the ability to conduct the research successfully and to report it in a coherent and fully documented dissertation is essential to the program. The program is kept sufficiently flexible, however, to permit students to develop their own specific interests.

Admissions Requirements

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

Test Required: GRE -156V/151Q (within the last five years)

GPA Required: 3.50 (MS); 3.00 (BS)

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 Outcomes

  • Graduates will be able to understand and evaluate critically the literature of the field.

  • Graduates will be able to apply appropriate principles and procedures to the recognition, evaluation, interpretation, and understanding of issues and problems at the frontiers of knowledge.

  • Graduates will have acquired the knowledge, skills, ethics, and independence of thought and action expected of a scholar.

  • Graduates will have extended and effectively communicated knowledge in his/her field.

Program Chair

Dr. ALAN V. LAIR

Degree Information

Degree Type: Doctoral


Delivery Method: In-Residence


Degree Requirements


  • Major coursework (28 hours)
  • Out-of-department sequence (8 hours)
  • Dissertation research (48 hours)
  • Admission to candidacy: One year before graduation
  • In-residence study: Three successive quarters
  • Present dissertation at a public defense

Graduate School Catalog

Faculty Research Areas

  • APPLIED STATISTICS
  • INFORMATION FUSION
  • ROC CURVE THEORY AND EXTENSIONS
  • STOCHASTIC PROCESSES
  • APPLIED MATHEMATICS
  • BIOSTATISTICS
  • CLASSIFIER FUSION
  • COMPUTATIONAL FLUID DYNAMICS
  • CONTROL THEORY
  • DIGITAL SIGNAL PROCESSING
  • FUNCTIONAL ANALYSIS
  • GRAPH THEORY
  • NONLINEAR WAVES
  • NUMERICAL ANALYSIS
  • PARTIAL DIFFERENTIAL EQUATIONS
  • RELIABILITY MODELING AND ANALYSIS
  • DESIGN OF EXPERIMENTS
  • REGRESSION
  • NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
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Air Force Institute of Technology
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