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DEPARTMENT OF MATHEMATICS



Master of Science Degree in Mathematics

The Master of Science degree in Mathematics is offered with two concentrations: mathematics and 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 choose one of the following concentrations:

    Mathematics Concentration (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

    Mathematics Education Concentration (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 5203 Theory of Functions of a Real Variable I
    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 12 (Mathematics Concentration) or 15 (Mathematics Education Concentration) semester credit hours of coursework chosen from eligible graduate courses in the Department of Mathematics. Students pursuing the concentration in Mathematics Education 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. Students pursuing the concentration in Mathematics 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 page at http://www.utsa.edu/cos/departments.htm.

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, 15 semester credit hours of graduate mathematics courses and 12 semester credit hours of graduate courses in a discipline of professional specialization 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, and Linear Algebra. The applicant must also submit three letters of reference from qualified scientists, mathematicians, or supervisors that can certify their ability to pursue studies in science at the master’s level.

Degree Requirements. Degree candidates are required to successfully complete 36 semester credit hours. The M.S. Degree Program Committee will review adjustments or waivers to requirements on a case-by-case basis.

Candidates for the degree must complete:

  1. 6 semester credit hours:

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

  2. 9 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. An additional 12 semester credit hours from four graduate courses selected from one or two disciplines in the student’s professional area of specialization. Such disciplines include, but are not limited to, biology, chemistry, computer science, economics, finance, education, environmental science and engineering, mathematics, physics, civil engineering, electrical engineering, and mechanical 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 a one-page preinternship 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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