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Course Criteria
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4.00 Credits
4 hours Geometry II Prerequisite: MATH 131 or the equivalent A continuation of MATH 131. Applications of integration, exponential and logarithmic functions, inverse trigonometric, hyperbolic and inverse hyperbolic functions, techniques of integration, limits involving infinity, improper integrals, infinite series.
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2.00 Credits
2 hours Mathematical Reasoning Prerequisite: MATH 132 or permission of instructor This is a course in the principles of mathematical reasoning and the construction of proofs. It begins with symbolic logic and then studies direct and indirect methods and proof by induction. Examples from set theory, discrete structures, axiomatic systems, recursion, and basic algebraic structures (groups, rings, fields) are used to illustrate the methods. NOTE: Only one of MATH 201 or 211 may be taken for credit.
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3.00 Credits
3 hours Analysis Prerequisites: MATH 131 and 132 An introduction to statistical analysis for students with a background in calculus. Included in the topics covered are probability distributions, expectation, statistical inference, regression and correlation.
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3.00 Credits
3 hours Prerequisite: MATH 110 or the equivalent A development of basic concepts of elementary geometry including area, volume, compass and straight-edge constructions, polyhedra, tessellations, motions in the physical world, transformations, congruence and similarity.
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3.00 Credits
3 hours Prerequisite: MATH 110 or the equivalent A conceptual development of the number systems through the real numbers using the mathematical structure of an ordered field, relations, and functions. An investigation of a development of geometry which will include an analysis of the beginning geometric concepts through an informal deductive study of congruence, similarity, and transformations. There will be a continuing emphasis on problem solving and applications throughout the course.
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3.00 Credits
3 hours Geometry III Prerequisite: MATH 132 A continuation of MATH 132. Infinite series, power series, geometry of the plane and space, vectors, functions of several variables, multiple integrals, and an introduction to differential equations.
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3.00 Credits
3 hours Mathematics Prerequisite: MATH 121 or permission of instructor Set theory, relations, functions, graph theory, planar graphs, trees, mathematical induction and recursion, combinatorial analysis, matrices, propositional calculus and, Boolean logic.
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3.00 Credits
3 hours Prerequisite: MATH 211 Optimization (linear programming, Lagrange multipliers, etc.), transportation problems, applied probability (queuing theory, Markov chains, elementary theory of simulations), theory of games, decisions under uncertainty.
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3.00 Credits
3 hours Design in Statistics Prerequisite: MATH 211 or permission of instructor Analysis of variance and block designs; simple linear regression, correlation and multiple regression; nonparametric statistics, chi-square tests.
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3.00 Credits
3 hours Prerequisite: Junior standing or permission of the instructor. A treatment of the foundations of modern Euclidean geometry and an introduction to non-Euclidean geometry with emphasis on hyperbolic geometry. Especially recommended for prospective high school mathematics teachers. Required for Virginia Licensure.
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