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Course Criteria
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3.00 Credits
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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1.00 Credits
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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2.00 Credits
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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3.00 Credits
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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1.00 Credits
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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2.00 Credits
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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3.00 Credits
S. 3 Hr. PR: MATH 261. Limits, series, metric spaces, uniformity, integrals.
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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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