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Course Criteria
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3.00 Credits
Various topics in the field of Mathematics. May be repeated for credit. (G)
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3.00 Credits
Preq., MATH 308. Study of linear systems, matrices, decomposition theorems, determinants, vector spaces and subspaces, linear transformations and representations by matrices.
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3.00 Credits
Preq., MATH 407. Continuation of MATH 407. Existence, uniqueness, and representation of solutions, problems in higher dimensions, Green's formulas, multiple Fourier series, Fourier transforms, boundary value problems in infinite domains.
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3.00 Credits
Preq., MATH 405, 470. Linear spaces, normed spaces, metric spaces, Banach spaces, Hilbert spaces.
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3.00 Credits
Preq., Consent of instructor. Numerical analysis of problems in linear algebra, norms for vectors and matrices, convergence properties of sequences and series of vectors and matrices, convergence of iterative techniques for linear systems. Numerical differentiation and integration. Numerical solutions of differential equations.
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3.00 Credits
Preq., MATH 515 or consent of instructor. Curve fitting techniques. Function approximation techniques. Approximating eigen values. Numerical solutions of nonlinear systems of equations. Numerical solution of differential equation and systems of differential equations and boundary value problems.
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3.00 Credits
Preq., MATH 435 or consent of instructor. Fundamental concepts of graph theory, connectivity and traversability, algebraic and topological methods, graph minors, extremal graph theory, planarity, colorability, and random graphs.
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3.00 Credits
(Pass/Fail). Preq., 12 semester hours of graduate work. Registration in any quarter is for 3 semester hours or multiples thereof. Maximum credit applicable towards the degree is 6 semester hours.
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3.00 Credits
(Pass/Fail). Preq., 12 semester hours of graduate work. Solution of a problem in mathematics; appropriate literature survey; development of mathematical research techniques. Maximum credit allowed is 3 hours.
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3.00 Credits
Preq., MATH 407, 414. Finite difference schemes and their accuracy, stability, and convergence. Schemes for parabolic and hyperbolic PDEs.
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