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Course Criteria
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3.00 Credits
3 credits. Offered fall of even numbered years. Regression and exponential smoothing methods for forecasting nonseasonal and seasonal time series, stochastic processes, Box-Jenkins' autoregressive and moving average models. Prerequisites: MATH 238 and MATH 318.
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3.00 Credits
3 credits. Offered on demand. Development of techniques for obtaining, analyzing and graphing solutions to differential equations, with emphasis on first and second order equations. Prerequisite: MATH 237.
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4.00 Credits
4 credits. Offered every third semester as of fall 2006. Laplace transforms, power series and their application to differential equations. Vector differential and integral calculus; parametric curves; coordinate systems; line, surface and volume integrals; and gradient, divergence and curl including the theorems of Green, Stokes and Gauss. Prerequisites: MATH 237 and MATH 238.
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3.00 Credits
3 credits. Offered fall of even numbered years. Linear and nonlinear optimization with an emphasis on applications in the sciences, economics and social sciences. Techniques studied include the simplex, Newton and Lagrange methods and Kuhn-Tucker theory. Software packages will be used to implement these methods. Prerequisites: MATH 237 and MATH 238 or consent of instructor.
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3.00 Credits
3 credits. Offered sprimg. Introductory study of nonlinear dynamics and chaos intended primarily for upper-level undergraduates in science or mathematics. Topics include stability, bifurcations, phase portraits, strange attractors, fractals and selected applications of nonlinear dynamics in pure and applied science. Computers may be utilized for simulations and graphics. Prerequisites: MATH 238 and MATH 248.
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3.00 Credits
3 credits. Offered spring. Introduction to dynamical models (discrete and continuous time) applied to biology. Tools of mathematical analysis from linear and nonlinear dynamics will be taught, including stability analysis of equilibria, as well as appropriate use of software packages. Emphasis will be on model development and interpretation in the context of applications, including effective written and oral presentation. Prerequisites: MATH 232 or MATH 235 or equivalent.
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3.00 Credits
3 credits. Offered every third semester as of spring 2007. Graphs and their applications. Possible topics include trees, Euler paths and Hamiltonian circuits, planar graphs, digraphs, adjacency matrices, connectivity and coloring problems. Prerequisite: MATH 245 or consent of instructor.
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3.00 Credits
3 credits. Offered every third semester as of fall 2007. Introduction to algebraic properties of complex numbers, analytic functions, harmonic functions, mappings of elementary functions, contour integration, series, residues, and poles and conformal mappings. Emphasis on computations and applications to fluid and heat flow. Prerequisite: MATH 237.
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3.00 Credits
3 credits. Offered fall and spring. Applications of computer models to the understanding of both compressible and incompressible fluid flows. Prerequisites: MATH 248, either MATH 238 or MATH 336, MATH/PHYS 265, and PHYS 340.
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3.00 Credits
3 credits. Offered fall and spring. Development and application of mathematical models and computer simulations to investigate problems in solid mechanics, with emphasis on numerical solution of associated boundary value problems. Prerequisites: MATH/PHYS 266, MATH 238 and MATH 248, or consent of instructor.
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