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Course Criteria
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3.00 Credits
Complex numbers, analytic functions, contour integration, conformal mapping, applications. Prerequisites: MATH 251, MATH 330 and MATH 283 or equivalent. 3 credits.
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3.00 Credits
Fundamental concepts of probability; random variables, binomial, Poisson, normal, chi-square, T, F and other distributions; transformations of random variables; conditional and marginal distributions; central limit theorem and concepts associated with the field of statistics. Prerequisites: MATH 271 and MATH 283. 3 credits.
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3.00 Credits
Markov chains and jump processes, elements of queuing theory, stationary stochastic processes, the Wiener process and stochastic differential equations. Prerequisite: MATH 461. 3 credits.
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3.00 Credits
Rigorous mathematical treatment of orthogonal matrices, Gram-Schmidt method, Q-R factorization, least-squares fits, eigenvalues and eigenvectors, linear difference equations, systems of linear differential equations, unitary similarities, Schur’s theorem, discrete Markov processes, power method, quadratic forms, singular value decompositions, pseudo-inverse, systems of linear inequalities, and simplex method. Prerequisite: MATH 330. 3 credits.
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3.00 Credits
Introduction to numerical mathematics and scientific computing. Topics including methods of error estimation, interpolation theory, numerical integration, and solutions of linear and nonlinear equations. Emphasizes hands-on computer work based on these techniques. Prerequisites: MATH 182, CS 136, or equivalent; MATH 330 or MATH 365. 3 credits.
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3.00 Credits
Intermediate treatment of methods in computational linear algebra, numerical solutions of ordinary and partial differential equations, algorithmic design and analysis, and topics selected by the instructor. Prerequisites: MATH 466, and MATH 427 or MATH 429 or equivalent. 3 credits.
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3.00 Credits
Introduction to the finite element method with computer applications to engineering continuum problems such as thermodynamics, solid and fluid mechanics, discretization of the domain, linear, quadratic, and higher polynomial approximations, linear, triangular, tetrahedral, and other elements, introduction to Galerkin’s method. Prerequisite: MATH 431. 3 credits.
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3.00 Credits
Graph models, covering circuits, graph colorings, trees and searching, general counting methods for arrangements and selections, generating functions, recurrence relations, and inclusion-exclusion. Prerequisite: MATH 251 or equivalent. 3 credits.
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3.00 Credits
Advanced topics in combinatorics. Topics to be selected by the instructor. Prerequisite: MATH 469 or equivalent. 3 credits.
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3.00 Credits
Rigorous mathematical treatment of the following topics: survival distributions, life tables, life insurance, life annuities, net premiums, reserves. Prerequisites: MATH 320 and STAT 411 or equivalent. 3 credits.
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