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Course Criteria
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3.00 Credits
3 s.h. For description see MATH 378. ( LA) Prerequisites: MATH 276 and MATH 205.
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3.00 Credits
3 s.h. A study of topics from calculus including topological concepts, limits, continuity, convergence of sequences and series, functions of several variables, theory of differentiation and integration, special integrals, vector analysis, and differential equations. ( LA) Prerequisite: MATH 377.
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3.00 Credits
3 s.h. The core of the course is formed by the derivation of parabolic, elliptic, and hyperbolic partial differential equation models from physical principles, followed by the mathematical theory of Fourier series and the examination of an extensive array of common boundary conditions. Additional topics include general orthogonal function expansions; Sturm-Liouville eigenvalue problems; Rayleigh quotients; and an introduction to finite difference methods. ( LA) Prerequisite: MATH 277.
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3.00 Credits
3 s.h. Equations in one variable: fixed-point iteration, slope methods, convergence analysis. Real and complex zeros of polynomials. LU decomposition, iterative improvement, condition numbers. Least square appproximation. Numerical integration, one and multi-panel formulas. ( LA) Prerequisites: MATH 174 and knowledge of a programming language.
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4.00 Credits
4 s.h. The real number system, sets, functions, sequences, Cauchy sequences, point set topology, continuity, uniform continuity, differentiability, the Riemann and Riemann-Stieltjes integral, series, convergence tests, sequences and series of functions, pointwise and uniform convergence. ( LA) Prerequisites: MATH 205 and MATH 276.
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4.00 Credits
4 s.h. Elementary functions of a complex variable, analyticity, contour integrals, the Cauchy integral theorem, power series, Laurent series, singularities, residue theory, analytic continuation, conformal mapping. ( LA) Prerequisites: MATH 205 and MATH 276.
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1.00 - 6.00 Credits
1-6 s.h. Topics in upper-level mathematics chosen by instructor. ( LA) Prerequisites: JrS and 6 s.h. upper-level math.
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1.00 - 3.00 Credits
1-3 s.h. Research and reading. ( LA) Prerequisites: 3 s.h. algebra and 3 s.h. upper-level analysis.
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1.00 - 3.00 Credits
1-3 s.h. Individual studies or research activities carried out under the direction of appropriate departmental faculty. ( LA) Prerequisites: JrS and permission of department.
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3.00 Credits
3 s.h. Comprehensive survey of the nature, development, operation, functions, and effects of various mass media (print, radio, television, film, cable, and new communication technologies). Designed to help students become more critical mass media consumers, and to introduce them to concepts applicable to production courses. ( LA)
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