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MAT 425: Numerical Analysis II

3.00 Credits

West Chester University of Pennsylvania

An examination of advanced topics in numerical analysis and scientific computing. Topics include: Approximation and interpolation of functions, numerical quadratures, matrix norms, iterative methods of numerical linear algebra, numerical solution of nonlinear systems of equations, and methods for the numerical solution of ordinary differential equations. Prerequisite: MAT 325

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MAT 427: Introduction to Optimization Techniques

3.00 Credits

West Chester University of Pennsylvania

Nature of optimization problems: deterministic and stochastic, and discrete and continuous. Computer methods of solution, systematic and random search, linear quadratic, dynamic programming, and others. Prerequisite: MAT 261, MAT 311

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MAT 432: Topology

3.00 Credits

West Chester University of Pennsylvania

Elements of point set topology. Separation axioms. Connectedness, compactness, and metrizability. Prerequisite: MAT 200, MAT 261

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MAT 433: Mathematical Modeling

3.00 Credits

West Chester University of Pennsylvania

The idea of a mathematical model of a real situation. Techniques and rationales of model building. Examples from the life, physical, and social sciences. Prerequisite: MAT 261, MAT 343

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MAT 441: Real Analysis I

3.00 Credits

West Chester University of Pennsylvania

Introduces the real line, limits of sequences, Cauchy sequences, limits of real functions, continuous functions, intermediate value theorem, the derivative, mean value theorems and Riemann integral. Prerequisite: MAT 200, MAT 261

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MAT 442: Real Analysis II

3.00 Credits

West Chester University of Pennsylvania

A continuation of MAT 441. Introduces infinite series, sequences and series of functions, Taylor's Theorem with applications and topics from integration theory. Prerequisite: MAT 441

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MAT 443: Applied Analysis I

3.00 Credits

West Chester University of Pennsylvania

The techniques of analysis applied to problems in the physical sciences. Topics include partial differential equations, orthogonal functions, complex integration, and conformal mapping. Prerequisite: MAT 261, MAT 311, MAT 343

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MAT 444: Applied Analysis II

3.00 Credits

West Chester University of Pennsylvania

The techniques of analysis applied to problems in the physical sciences. Topics include partial differential equations, orthogonal functions, complex integration, and conformal mapping. Prerequisite: MAT 443

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MAT 445: Complex Variables

3.00 Credits

West Chester University of Pennsylvania

Introduction to functions of a complex variable. Analytic functions, mappings, differentiation and integration, power series, and conformal mappings. Prerequisite: MAT 261

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MAT 455: Industrial Mathematics Practicum

3.00 Credits

West Chester University of Pennsylvania

This is a case study, team problem-solving based course focused on solving real-world problems that can be modeled using discrete or continuous mathematics techniques and which emanate from industry. Ideally, the problems would be obtained from partnerships with local industry. Until these relationships develop, extant problems or problems arising in WCU faculty research (in math, physics, biology, geology, finance, etc.) will be used. Prerequisite: MAT 413, MAT 425, (MAT 427 or MAT 493), STA 319

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