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MATH 381: Topology
3.00 Credits
West Virginia University
II, S. 3 Hr. PR: MATH 283 or consent. Introduction to metric and topologial spaces. Topics include: continuity, convergence, separation, compactness, and connectedness.
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MATH 381 - Topology
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MATH 420: Numerical Analysis
1.00 Credits
West Virginia University
I, II. 3 Hr. PR: MATH 251 and (either a programming language or MATH 222.) Computer arithmetic, roots of equations, interpolation, Gaussian elimination, numerical integration and differentiation. Numerical solution of initial value problems for ordinary differential equations. Least squares approximations. (Equiv. to CS 460.)
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MATH 420 - Numerical Analysis
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MATH 421: Numerical Analysis
2.00 Credits
West Virginia University
II. 3 Hr. PR: (MATH 420 or CS 460) and (MATH 441 or MATH 343). Solutions of linear systems by direct and iterative methods. Calculation of eigenvalues, eigenvectors, and inverses of matrices. Applications to ordinary and partial differential equations.
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MATH 421 - Numerical Analysis
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MATH 441: Applied Linear Algebra
3.00 Credits
West Virginia University
I, II, S. 3 Hr. PR: MATH 251. Matrix algebra with emphasis on algorithmic techniques and applications to physical models. Topics include solution of large systems of equations, orthogonal projections and least squares, and eigenvalue problems.
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MATH 441 - Applied Linear Algebra
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MATH 451: Introduction to Real Analysis
1.00 Credits
West Virginia University
I, II. 3 Hr. PR: MATH 283. A study of sequences, convergence, limits, continuity, definite integral, and derivative, differentials, functional dependence, multiple integrals, sequences, and series of functions.
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MATH 451 - Introduction to Real Analysis
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MATH 452: Introduction to Real Analysis
2.00 Credits
West Virginia University
I, II. 3 Hr. PR: MATH 451. A study of sequences, convergence, limits, continuity, definite integral, derivative, differentials, functional dependence, multiple integrals, sequences and series of functions.
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MATH 452 - Introduction to Real Analysis
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MATH 455: Advanced Real Calculus
3.00 Credits
West Virginia University
S. 3 Hr. PR: MATH 261. Limits, series, metric spaces, uniformity, integrals.
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MATH 455 - Advanced Real Calculus
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MATH 456: Complex Variables
3.00 Credits
West Virginia University
II. 3 Hr. PR: MATH 261. Complex numbers, functions of a complex variable; analytic functions; the logarithm and related functions; power series; Laurent series and residues; conformal mapping and applications.
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MATH 456 - Complex Variables
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MATH 464: Deterministic Math Modeling
3.00 Credits
West Virginia University
3 Hr. PR: MATH 222 and MATH 261 and MATH 420; or consent. An introduction to mathematical modeling of deterministic systems. Topics include growth and decay models, equilibrium models, optimal control and utility, and model validation. Applications from chemistry, physics, biology, economics, and the environment will be considered.
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MATH 464 - Deterministic Math Modeling
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MATH 465: Partial Differential Equations
3.00 Credits
West Virginia University
II. 3 Hr. PR: MATH 261. Introduces students in mathematics, engineering, and the sciences to methods of applied mathematics. First and second order equations, canonical forms, wave, heat, and Laplace's equations, representation of solutions.
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MATH 465 - Partial Differential Equations
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