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Course Criteria
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3.00 Credits
Intensive review of theory of sequences and series, study of differentiation and the Riemann integral. Prerequisite: MATH 2414 or its equivalent Offered: Other
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3.00 Credits
Analytical functions, pathological functions, set functions, Riemann integral, measure theory, Lebesgue integral, Riemann-Stieltjes and Lebesgue-Stieltjes integral. Prerequisite: Graduate standing and Mathematics 3380 Offered: Other
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3.00 Credits
Solutions of ordinary and partial differential equations, approximation of functions, quadrature, and splines. Prerequisite: Graduate standing, Mathematics 4315 or its equivalent, and some knowledge of computer programming. Offered: Other
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3.00 Credits
Conformal mapping and analytic continuation, calculus of residues, and applications. Prerequisite: Graduate standing and Mathematics 4310 or its equivalent Offered: Other
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3.00 Credits
Probability and statistics, sampling distribution of statistics and statistical inference, design of experiments and surveys, graphical and numerical techniques to explore data, characterize patterns, and describe departures from patterns. Prerequisite: Graduate standing Offered: Other
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3.00 Credits
Algorithms for solving linear and non-linear equations and systems thereof. Interpolating polynomials, finite difference approximations of derivatives, techniques of numerical integration. One-step and multi-step methods for solving ordinary differential equations and systems thereof. Prerequisite: MATH 2415 and COSC 1373, or its equivalent Offered: Other
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3.00 Credits
Linear programming, unconstrained and constrained optimization, Lagrange multipliers, Newton's method, steepest descent, convex programming. Prerequisite: MATH 2414 and MATH 2318 Offered: Other
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3.00 Credits
Theory of probability, random variables, well-known distributions, conditional probability, Bayes' formula, Markov Chain, counting process, Poisson processes, Chapman-Kolmogorov equations, gambler's ruin, branching process. Prerequisites: Graduate standing and MATH 3370 or its equivalent Offered: Other
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3.00 Credits
The history and evolution of mathematical concepts and ideas and, in particular, to the relationships between mathematics, science and engineering. The emphasis of the course is on the history of mathematics since Viette. Prerequisite: Graduate standing Offered: Other
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3.00 Credits
Experimental design and analysis of experiments are developed as tools of the manufacturing and process industries. Analysis of variance, randomized blocks, Latin-squares design, general factorial design, 2k and 3k design are treated in detail. Prerequisite: MATH 3370 or its equivalent Offered: Other
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