Applied Industrial Mathematics

Master of Science in Applied Mathematics-Industrial Mathematics

The Master of Science Degree in Applied Mathematics–Industrial Mathematics is designed to provide students the opportunity for advanced training in marketable areas of Applied Mathematics, using research to solve real-world problems in the field of Applied Mathematics, and with preparation for leadership positions in the field. In order to provide students with advanced training in marketable areas, 24 semester credit hours of graduate mathematics courses and 3 semester credit hours of a course in the Colleges of Sciences or Engineering are required. Research exposure to and experience with real-world problems will be provided by enrollment in AIM 6943 Internship and Research Project. This course introduces students to research problems in the field as well as the opportunities to solve a real-life problem in an industrial setting. Students will prepare for leadership positions in the field by taking two courses in communication, leadership, and/or basic business practices.

Program Admission Requirements:

To be admitted to the degree program for the M.S. in Applied Mathematics–Industrial Mathematics, applicants must satisfy the University-wide requirements for admission to graduate programs. The applicant must have completed a bachelor’s degree in mathematics, science, engineering, or a related field and must have taken Calculus I, Calculus II, Linear Algebra, and an upper-division course in mathematics. The applicant must submit a résumé, scores from the Graduate Record Examination (GRE), and three letters of reference from qualified scientists, mathematicians, or supervisors that can certify their ability to pursue studies in applied mathematics at the Master's level.

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Degree Requirements:

Degree candidates are required to successfully complete 36 semester credit hours and meet University-wide degree requirements. Students admitted to the program must consult the Graduate Advisor of Record for their individual study plans and get approval before enrollment in each course.

Candidates for the degree must complete:

    A. 6 semester credit hours:

    • AIM 5113 Introduction to Industrial Mathematics
    • MAT 5283 Linear Algebra and Matrix Theory

    B. 18 semester credit hours of electives selected from the following: 

  • MAT 5203 Theory of Functions of a Real Variable I
  • MAT 5223 Theory of Functions of a Complex Variable I
  • MAT 5293 Numerical Linear Algebra
  • MAT 5323 Mathematical Modeling
  • MAT 5603 Numerical Analysis
  • MAT 5613 Numerical Solutions of Differential Equations
  • MAT 5653 Differential Equations I
  • MAT 5673 Partial Differential Equations I
  • MAT 5973 Directed Research
  • MAT 5983 Topics in Applied Mathematics
  • MAT 6603 Optimization Techniques in Operations Research


    C. 3 semester credit hours of electives: Upon completion of 18 semester credit hours in mathematics, a student is eligible to enroll in advanced courses selected from disciplines in the Colleges of Sciences or Engineering.

    D. AIM 6943 Internship and Research Project. Upon completion of 18 semester credit hours in mathematics, a student is eligible to enroll in AIM 6943 Internship and Research Project. The student must spend a semester in an industrial setting and must complete an internship-related project. To complete the internship-related project, the student will:

  1. Submit either an employment letter from a company or a pre-internship proposal outlining the proposed work for approval by the student's Supervising Professor.
  2. Complete the proposed work after the internship has been completed.
  3. Defend the project before the deadlines set forth by the University.

Students currently employed in industry may negotiate an alternative internship experience.

    E. 6 semester credit hours selected from coursework in communications, leadership skills, and business principles such as

    • MGT 5003 Conceptual Foundations of Management
    • MGT 5043 Management and Behavior in Organizations
    • MGT 5093 Leadership

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Course Descriptions in Applied-Industrial Mathematics (AIM)

AIM 5113 Introduction to Industrial Mathematics

(3-0) 3 Credit Hours. Prerequisites: MAT 1214, MAT 1224, and MAT 2233, or consent of instructor. The topics covered include quality control, Monte Carlo methods, linear programming, model fitting, frequency domain methods, difference and differential equations, and report writing. The course is not designed to substitute for any specialized course covering these topics in detail, but rather to survey their real-world applications.

AIM 6943 Internship and Research Project

Prerequisites: Completion of at least 18 semester credit hours of coursework in mathematics and consent of the student’s Supervising Professor; confirmation of approved internship. Provides students with hands-on experience in industrial mathematics or a related field in a professional environment. The research work may be either an extended project or a variety of shorter assignments. May be repeated for credit, but no more than 6 credit hours will apply toward the Master’s degree.

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Contact Information

Dr. Youn-Min (Amanda) Chou
Graduate Advisor
Office: FLN 4.01.17
Phone: (210) 458-5552

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