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Course Criteria
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3.00 Credits
Fundamental concepts of Euclidean plane and solid geometry; study of polygons, circles, constructions and proofs.
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3.00 Credits
Basic concepts of probability and ways of thinking needed to solve problems in probability are related to ideas and areas of application of statistics. Topics include the nature of statistics, organizing data, descriptive measures, basic probability concepts, the normal distribution, the sampling distribution of the mean, confidence intervals for one population mean, and hypothesis testing for one population mean. Prerequisites: ACT Math score of 21 or higher or a grade of "S" in MTHF 002 or consent of department chairperson.
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3.00 Credits
A first course in abstract algebra designed to emphasize the nature of the subject and the techniques of rigorous proof characteristic of modern mathematics. Topics include groups, basic group properties, subgroups, cyclic groups, Lagrange s theorem, cosets, permutations, normal subgroups, homomorphisms, quotient groups, rings, ring homomorphisms and ring isomorphisms, integral domains, maximal and prime ideals, fields, polynomials and applications. Prerequisite: Grade of "C" or higher in MATH 202.
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4.00 Credits
Topics covered include polar coordinates; parametric equations; conic sections; sequences; series; tests for series convergence or divergence; Taylor series, Maclaurin series; vectors in space; dot product; cross product; lines and planes in space; limits, continuity, derivatives and integrals of space curves; lengths of space curves; curvature; velocity and acceleration in space; limits and continuity of functions of several variables; partial derivatives. Prerequisite: MATH 207.
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3.00 Credits
A survey course of different geometries: finite, transformation, modern Euclidean, projective and topology. Many are explained using the basic idea of transformations. Others are studied by the axiomatic method. The student will gain skill in problem solving and geometry. Prerequisites: MATH 202 and MATH 230 or consent of department chairperson.
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3.00 Credits
A first course in linear algebra designed to emphasize the nature of the subject and its application to other fields. Topics covered include linear systems, matrices, matrix operations, determinants, vectors and vector spaces, linear transformations and matrices, Eigenvalues and Eigenvectors, linear programming and applications. Prerequisite: MATH 102. Corequisite: MATH 202.
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2.00 Credits
A survey of significant developments in mathematics beginning with ancient Greece and continuing to modern times. Emphasis will be placed on the contributions of the Pythagoreans, Plato, Aristotle, Euclid, and on the development of algebra and the calculus.
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3.00 Credits
Math teaching methods for the Elementary and Middle education student. Topics include math manipulatives, calculator and computer technology, guided discovery learning, Standards of the National Council of Teachers of Mathematics (NCTM), planning and criticizing math instruction. Concepts from statistics and probability will be developed. Prerequisites: Passing score on the Fractions and Decimals Mastery Test given by the Math Department. Corequisites: MATH 230 and MATH 256 must either be completed prior to MATH 327 or be taken concurrently with MATH 327.
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3.00 Credits
A study of topics from the field of discrete mathematics. Topics will be selected from symbolic logic, truth tables, De Morgan s laws, graph theory, Hamilton circuits and paths, Euler circuits and paths, trees, graph colorings, the Pigeonhole Principle, recurrence relations, fractals, linear programming, and computer algorithms. Prerequisite: Grades of "C" or higher in MATH 102 and CSCI 101 or consent of department chairperson.
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3.00 Credits
Concepts of probability and ways of thinking needed to solve problems in probability are related to ideas of application in statistics. Topics include conditional probability, the multiplication rule and independence, Bayes s Rule, counting rules, discrete random variables, inferences for two population means, inferences for population standard deviations, inferences for population proportions, inferential methods in regression and correlation and analysis of variance. Prerequisite: A grade of "C" or higher in MATH 256 or consent of Department chairperson.
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