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Course Criteria
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3.00 Credits
Preq., MATH 245, knowledge of a programming language. Roots of polynomial and other nonlinear equations. Interpolating polynomials. Numerical differentiation. Numerical integration. Direct methods for solving linear systems. (G)
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3.00 Credits
Preq., MATH 245 and knowledge of a programming language. Numerical applications of linear algebra. Curve fitting. Function approximation. Numerical solution of systems of equations, differential equations, systems of differential equations, boundary value problems. (G)
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3.00 Credits
Preq., MATH 318. Number theory, equivalences, and congruences, groups, ideals. (G)
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3.00 Credits
Preq., MATH 307, 311, or 318. Fundamental concepts of undirected and directed graphs, trees, connectivity, planarity, colorability, network flows, Hamiltonian and Eulerian graphs, matching theory and applications. (G)
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3.00 Credits
Preq., MATH 244. Complex numbers, analytic functions, elementary functions, mapping elementary functions, integrals, power series, residues, poles, conformal mappings, applications of conformal mappings. (G)
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3.00 Credits
Preq., MATH 245 and 340. First-order equations, second-order linear equations, general linear equations and systems, existence and uniqueness theorems, plane autonomous systems. (G)
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3.00 Credits
Preq., MATH 307 or MATH 311. Divisibility properties of integers, prime numbers, congruences, number theoretic functions. (G)
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3.00 Credits
Preq., MATH 244,. Introduction of concepts, metric spaces, countability axioms, separation axioms, connectedness, compactness, product spaces, continuous mappings and homeomorphisms, homotopy, quotient spaces. (G)
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3.00 Credits
Preq., MATH 244 and MATH 311 or 307. Rigorous introduction to the analysis of functions of one real variable; limits, continuity, derivatives, Riemann integration. (G)
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3.00 Credits
Preq., MATH 482. Functions in abstract spaces, limits and continuity in metric spaces, differentiation in multidimensional spaces and Lebesgue integration in measure spaces.
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