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Course Criteria
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4.00 Credits
The first of a three-semester sequence in Cal-culus, this course is designed to develop the basic concepts of differential Calculus and their applications. Topics include continuous and discontinuous functions; analytic geome-try; slope of a curve; rate of change of func-tions; limit theorems; derivations of algebraic, exponential, logarithmic, trigonometric, and implicitly defined functions; the mean value theorem; curve sketching; and maximum-minimum problems. (fall) Prerequisite: MATH 161 or equivalent
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4.00 Credits
Continuing Calculus I, this course is designed to develop the concepts of integral Calculus and their applications. Topics include the integral, techniques of integration, applica-tions of the definite integral to physical prob-lems, integration involving inverse trigonome-tric and hyperbolic functions, infinite series, Power Series, Taylor polynomials and series, and parametric and polar equations. (spring) Prerequisite: MATH 262
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1.00 - 4.00 Credits
This course varies by semester and instructor. Topics may include using new or current technology; new or current software; and new and exciting innovations in mathematics, sta-tistics, or mathematics education. This course may augment an already existing course. This course is intended to run for a group and not for a single student. (as needed) Prerequisite: Permission of instructor
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3.00 Credits
This course introduces the concepts of Baye-sian Analysis. Statistical decision-making under conditions of uncertainty is also covered. The chi-square and F-distributions are intro-duced. Additional topics include analysis of variance, linear correlation, linear regression, contingency tables, time series analysis involv-ing seasonal and cyclic trends, index numbers, and cross-tabulations. (spring) Prerequisite: MATH 122
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3.00 Credits
This course is an examination of the devel-opment of mathematics. Themes include comparative mathematical systems; the origin of whole, rational, irrational, complex, and transfinite numbers; the evolution of geome-try, number theory, algebra, calculus, proba-bility theory; and modern innovations such as chaos theory. (fall) Prerequisite: MATH 232 or permission of in-structor
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3.00 Credits
This course will cover advanced topics in Euclidean Geometry and topics in non-Euclidean Geometry. The topics covered in geometries other than Euclidean geometry are such things as finite geometries, geometric transformations, convexity, projective geome-try, topological transformations, and brief ex-cursions into point set topology, knot theory, orientable and non-orientable surfaces, and fractal geometry. (fall) Prerequisite: MATH 231
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4.00 Credits
This course completes the sequence of topics begun in MATH 262 and MATH 263: polar coordinates, parametric equations, elements of solid and analytical geometry, vectors, func-tions of several variables, partial differentia-tion, multiple integrals, line integrals including Green's Theorem, Divergence and Curl. (fall) Prerequisite: MATH 263
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4.00 Credits
This is a course in ordinary differential equa-tions with technical applications. Topics may include differential equations of the first or-der, approximation methods, linear differen-tial equations, non-homogeneous equation, Laplacean transforms, systems of differential equations, power series methods, and partial differential equations. (spring) Prerequisite: MATH 364
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3.00 Credits
This course develops the introductory theory of groups, rings and fields from an axiomatic point of view. Topics include the fundamental concepts of set and group theory, rings, fields and integral domains. (fall) Prerequisite: MATH 344, MATH 364, or per-mission of instructor
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4.00 Credits
This course provides a comprehensive intro-duction to complex variable theory and its applications, including an introduction to the techniques of complex analysis frequently used by scientists and engineers. Topics in-clude complex numbers, analytic functions, Taylor and Laurent expansions, Cauchy's theorem, evaluation of integrals by residues, Laplace transforms and Fourier series. (fall) Prerequisite: MATH 364
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