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| DEGREE PLAN |
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8 MATH 5195 Graduate Seminar(1-0) |
| Conferences and discussions of various topics in mathematics and statistics by faculty, graduate students, |
| and statistics by faculty, graduate students, and outside speakers. Required of all graduate students during |
| each semester of full-time enrollment. May not be counted more than once toward the degree requirement. |
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| 8 MATH 5311 Applied Mathematics (3-0) |
| Mathematics 5311 is designed to introduce the student to those areas of mathematics that are useful in |
| engineering and science. Topics are chosen from Differential Equations, Fourier Series, Calculus of |
| Variations, and Theory of Algorithms. The course may be repeated once as content changes. |
| Prerequisite: Instructor approval. |
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| 8 MATH 5321 Real Analysis I (3-0) |
| Investigation of convergence, continuity, differentiability, compactness and connectedness, the |
| Riemann-Stieljes integral, and sequences of functions. Prerequisite: MATH 3341 |
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| 8 MATH 5330 Computational Methods of Linear Algebra (3-0) |
| Numerical methods involved in the computation of solutions of linear systems of equations, eigenvalues, |
| linear least squares solutions; error analysis. Prerequisite: MATH 3323 and a working knowledge of a |
| high-level programming language. |
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| 8 MATH 5331 Real Analysis II(3-0) |
| Lebesgue integration, integration with respect to measure, absolute continuity, Fundamental Theorem of |
| Calculus for the Lebesgue integral. Prerequisite: MATH 5321. |
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| 8 MATH 5345 Nonlinear Optimization(3-0) |
| Exact nonparametric methods of inference using fast numerical algorithms to permute the observed data in |
| all possible ways. Prerequisite: Department approval. |
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| 8 MATH 5343 Numerical Solutions to Partial Differential Equations (3-0) |
| Introduction to finite difference and finite element methods for the solutions of elliptic, parabolic, and hyperbolic |
| partial differential equations. Prerequisite: (1) MATH 2326 or MATH 3326; MATH 3323; and MATH 4329, |
| each with a “C” . MATH 1312. or better or their equivalents and (2) knowledge of a high level programming |
| language. |
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| 8 MATH 5370 Mathematical Statistics I (3-0) |
| Various topics not included in regular courses will be discussed. May be repeated once for credit as the topics |
| vary. Prerequisite: Instructor approval. |
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| 8 MATH 5396 Graduate Research (3-0) |
| A written report on an appropriate subject in mathematics or statistics is required. May not be counted towards |
| the 24 hours of course work in the thesis option, buy may be substituted for three hours of thesis credit. |
| May not be repeated for credit. Prerequisite: Instructor approval. |
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| 8 MATH 5398 Thesis (0-0-3) |
| Initial work on the thesis |
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| 8 MATH 5399 Thesis (0-0-3) |
| Continuous enrollment required while work on thesis continues. Prerequisite: MATH 5398 or department |
| approval. |
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