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Course Criteria
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4.00 Credits
Study of differential and integral calculus of multi-variable functions, line and surface integrals, Green's theorem, divergence theorem, and Stokes' theorem. Prerequisite: MATH 282.
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3.00 Credits
Study of matrices and determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, with applications. Prerequisite: MATH 123 or 181.
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4.00 Credits
Study of solutions of first order differential equations, solutions of linear differential equations of order n, applications, linear systems, and series solutions. Prerequisite: MATH 283.
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4.00 Credits
Study of counting and probability, probability distributions and densities, mathematical expectation, functions of random variables, sampling distributions, interval estimation, hypothesis testing, and analysis of variance. Prerequisite: MATH 283.
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4.00 Credits
Study of simple and multiple linear regression including estimation, hypothesis testing, data analysis, and appropriateness of models. Also includes a study of linear time series models including estimation, data analysis, and forecasting. Prerequisite: MATH 315. Offered even years only.
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4.00 Credits
Study of geometries, concentrating on Euclidean, non-Euclidean, and projective geometries; examination of axiomatic foundations and qualitative study of the geometries; considers briefly Mohr-Mascheroni constructions and impossible constructions. Prerequisite: MATH 281 and permission of instructor. Offered even years only.
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4.00 Credits
Study of numerical methods with computer applications; topics include numerical solutions of nonlinear equations, systems of equations, ordinary differential equations, interpolation, and numerical integration. Prerequisites: MATH 289; MATH 312.
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4.00 Credits
Introduction to deterministic models in operations research; includes linear programming, network analysis, dynamic programming, and game theory. Prerequisites: MATH 283; MATH 289 or permission of instructor. Offered odd years only.
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4.00 Credits
Introduction to the history of mathematics from the beginning of hieroglyphic writing in Egypt and cuneiform in Mesopotamia to the influence of computers in the 20th century. Topics will include ancient mathematics, geometry and algebra from Greece, mathematics from China, India, and Islam, medieval algebra and geometry, mathematics from the Renaissance and the scientific revolution including analytic geometry and calculus, analysis and algebra through the 19th century, and topics from the 20th century. Prerequisite: MATH 283 or permission of instructor. Offered even years only.
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4.00 Credits
Study of partial differential equations, boundary-value problems and Fourier series. Prerequisites: MATH 289, MATH 312. Offered even years only.
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