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Department of Mathematics


Master of Science Degree in Mathematics

Program Admission Requirements. In addition to satisfying the University-wide graduate admission requirements, a Bachelor of Arts or Bachelor of Science in Mathematics is highly recommended as preparation. However, exceptional applicants with a Bachelor’s degree in a closely related field may also be considered for admission. Students who do not qualify for unconditional admission should anticipate that additional undergraduate and/or graduate coursework may be required to complete the degree. Applicants should provide scores from the Graduate Record Examination (GRE). It is recommended that the applicant submit two letters of reference, preferably from those who can speak to the applicant’s mathematical abilities.

Degree Requirements. Degree candidates are required to successfully complete 36 semester credit hours.

  1. Students must complete the following required courses (18 semester credit hours):

    MAT 5173    Algebra I
    MAT 5203    Theory of Functions of a Real Variable I
    MAT 5223    Theory of Functions of a Complex Variable I


    MAT 5243    General Topology I
    or
    STA 5503    Mathematical Statistics I


    MAT 5283    Linear Algebra and Matrix Theory
    MAT 5603    Numerical Analysis


  2. Students must either write a Master’s thesis or complete 6 semester credit hours of advanced courses in the department as approved by the Graduate Advisor of Record.

  3. Students must normally take an additional 12 semester credit hours of coursework chosen from eligible graduate courses in the Department of Mathematics. Students may apply a maximum of 6 semester credit hours of graduate coursework from other disciplines as approved by the Graduate Advisor of Record.

  4. Students are required to pass an advanced comprehensive examination or successfully defend their thesis research results.

For more details and information about a sequence requirement, see the Graduate Advisor of Record and/or the College Web site at http://utsa.edu/cos/.

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Master of Science Degree in Mathematics Education

Program Admission Requirements. In addition to satisfying the University-wide graduate admission requirements, a Bachelor of Arts or Bachelor of Science in Mathematics or a closely related field is highly recommended as preparation. Students who do not qualify for unconditional admission should anticipate that additional undergraduate and/or graduate coursework may be required to complete the degree. It is recommended that the applicant submit two letters of reference, preferably from those who can speak to the applicant’s mathematical abilities.

Degree Requirements. Degree candidates are required to successfully complete 36 semester credit hours.

  1. Students must complete the following courses (15 semester credit hours):

    MAT 5023    Problem-Solving Seminar
    MAT 5033    Foundations and Fundamental Concepts of Mathematics
    MAT 5043    Euclidean and Non-Euclidean Geometry
    MAT 5103    Introduction to Mathematical Analysis
    MAT 5283    Linear Algebra and Matrix Theory

  2. Students must either write a Master’s thesis or complete 6 semester credit hours of advanced courses in the department as approved by the Graduate Advisor of Record.
  3. Students must normally take an additional 15 semester credit hours of coursework chosen from eligible graduate courses in the Department of Mathematics. Students may apply a maximum of 9 semester credit hours of graduate coursework from other disciplines, MAT 6963 Topics in Mathematics Education, or a combination thereof, as approved by the Graduate Advisor of Record.
  4. Students are required to pass an advanced comprehensive examination or successfully defend their thesis research results.

For more details and information about a sequence requirement, see the Graduate Advisor of Record and/or the College Web site at http://utsa.edu/cos/.

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Master of Science Degree 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, 18 semester credit hours of graduate mathematics courses and 9 semester credit hours of advanced courses 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 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.

Degree Requirements. Degree candidates are required to successfully complete 36 semester credit hours. However, not more than 12 combined credit hours of Directed Research, Independent Study, and AIM 6943 may be counted toward the degree. 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:

  1. 6 semester credit hours of required courses:

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

  2. 12 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 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 6603    Optimization Techniques in Operations Research
    MAT 6973    Special Problems

  3. 9 semester credit hours of electives: Upon completion of 12 semester credit hours in mathematics, a student is eligible to enroll in advanced courses selected from disciplines in the Colleges of Sciences or Engineering.

  4. AIM 6943    Internship and Research Project

    Upon completion of 12 semester credit hours in mathematics, a student is eligible to enroll in the Internship and Research Project course. 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:

    • Submit either an employment letter from a company or a one-page pre-internship proposal outlining the proposed work for approval by the student’s Supervising Professor.

    • Complete the proposed work after the internship has been completed.

    • Defend the project before the deadlines set forth by the University.

    Students already employed in industry can negotiate an alternative internship experience. In certain circumstances, an intensive research assistantship at UTSA can be substituted for the internship in industry.

  5. 6 semester credit hours selected from coursework in communications, leadership skills, and business principles. Examples include:

    MGT 5003    Conceptual Foundations of Management
    MGT 5043    Management and Behavior in Organizations
    MGT 5093    Leadership
    MGT 5133    Organizational Decision Making
    MGT 5813    Strategic Human Resources Management

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