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• MAT 423: Applied Probability

  3.00 Credits

  West Chester University of Pennsylvania

  
  Standard Concepts and methods of stochastic modeling and applications of stochastic processes. Prerequisite:    MAT 423 requires prerequisites of MAT 261, MAT 311, and MAT 421 with a "C" or better.
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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 425 requires a prerequisite of C or better in 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 427 requires prerequisites of C or better in MAT 261 and C or better in 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 432 requires prerequisites of C or better in MAT 200 and 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 433 requires prerequisites of C or better in MAT 261 and C or better in 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 441 requires prerequisites of C or better in MAT 200 and 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 442 requires prerequisite of C or better in 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 443 requires prerequisite of C or better MAT 261, MAT 311 and 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 444 requires prerequisite of C or better in 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 445 requires prerequisite of C or better in MAT 261
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