## Master of Science in Mathematics

- Professors: Avramidi, Borchers, Hossain, Stone
- Associate Professors: Aitbayev, Kerr, Schaffer
- Assistant Professors: Makhnin, Starrett, Wang
- Instructors: Ballou, Bukowski
- Emeritus Faculty: Arterburn, Ball, Dubbs, Sharples, Sherman

Degrees Offered: M.S. in Mathematics, M.S. in Mathematics with Operations Research and Statistics Option, M.S. in Mathematics with Emphasis in Industrial Mathematics

**Master of Science in Mathematics**

A program fulfilling the general requirements must be completed. Two basic plans are offered: for the program without thesis, MATH 590 (three credit hours) must be completed; for the program with thesis, MATH 591 (six credit hours) must be completed. There is no foreign language requirement for either program. The student must fulfill the requirements for the undergraduate program in mathematics. In addition, the student must fulfill the requirements of one of the following three specializations.

Students interested in continuing for the PhD in Applied and Industrial Mathematics should take care to choose their courses so that they will fit that program as well.

**Five-Year Bachelor’s/Master’s Degree Program in Mathematics**

The five-year mathematics B.S./M.S. program provides the student the opportunity to obtain both a bachelor’s degree and a master’s degree in mathematics in five years. A minimum of 158 total credit hours are required to complete the dual degree program. Students should apply to the program before their seventh semester. Admission is contingent on academic performance and acceptance of a proposed course of study. Graduate status is granted upon completion of the general requirements for the bachelor’s degree in mathematics or one of its options with a 3.0 minimum cumulative grade point average. The master’s degree is granted upon completion of the requirements of the master’s degree program.

The student will work with a professor in the Mathematics Department who will assist the student in developing the course of study and advise the student on their master’s thesis or independent study.

**Master of Science in Mathematics with Specialization in Industrial Mathematics**

Industry and business provide many areas for the application of advanced mathematics, and many possibilities for mathematicians to make significant contributions. New Mexico Tech offers a program to prepare students for these opportunities. Students need a basic background in numerical analysis, differential equations, and statistics at the undergraduate level. The graduate requirements are:

- Modeling courses (6 credits): MATH 430 (Mathematical Modeling); MATH 530 (Modeling Case Studies)
- Core industrial mathematics courses (6 credits)—two of the following: MATH 511 (Numerical Methods); MATH 518 (Nonlinear Programming); MATH 532 (Perturbation Methods); MATH 535 (Mathematical Physics); MATH 587 (Time Series)
- A concentration of four related courses (12 credits), at least two at the 500-level (beyond the two in requirement 2) and at least two in another department, and additional courses to satisfy the general requirements of the Master of Science degree. The courses to satisfy this requirement must be approved by the Industrial Mathematics group.
- Each student spends one term, usually summer, in an internship in an industrial position. This internship is arranged by the student, with the approval of the Industrial Mathematics group and should involve mathematical modeling, computation and analysis.

*Industrial Mathematics Committee*

- Avramidi—Mathematical Physics, Analysis on Manifolds, Quantum Field Theory
- Borchers—Optimization, Inverse Problems
- Sharples—Applied Analysis, Asymptotic Expansions
- Stone—Differential Equations, Mathematical Biology, Industrial Mathematics

**Master of Science in Mathematics with Specialization in Operations Research and Statistics**

An interdisciplinary program in operations research and statistics is available at the graduate level within the various departments at New Mexico Tech. To specialize in this area, the student must fulfill the requirements for the undergraduate program in mathematics and complete MATH 415, 483, and one of either MATH 486 or 488, or the equivalent.

Graduate work consists of:

- A minimum of 12 credit hours from MATH 515, 516, 517, 518, 519, 582, 583, 584, 586, 587, 589. At least one course (three credit hours) must be chosen from MATH 517 or 518.
- Additional courses subject to the approval of the student’s advisor to complete the requirements of the Graduate School. Related courses include ES 316; MGT 462, 472, 473; MATH 384, 386, 410, 411, 484, 505, and 521.

**Master of Science in Mathematics with Specialization in Analysis**

To specialize in this area the student must fulfill the requirements of the undergraduate program in mathematics and complete Math 435 and Math 471 or the equivalent.

Graduate work consists of:

- A minimum of 12 credits from Math 531, 533, 534, 535, 536, 537, 575, 576, and 577.
- Additional courses subject to the approval of the student’s advisor to complete the requirements of the Graduate

School.

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