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Course Criteria
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4.00 Credits
Topics include applications of integration; techniques of integration; improper integrals; differential equations; parametric equations; polar coordinates; infinite sequences and series. Prerequisite: MATH 129 or the approval of the math de-partment chairperson or AP Calculus score of 4 or 5 (AB or BC). Offered spring semesters.
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4.00 Credits
Topics include solid analytic geometry; vectors; vector functions; partial differen-tiation; multiple integrals; vector calculus; line integrals; and Green's Theorem. Prerequisite: MATH 130 or the approval of the math department chairperson or AP Calculus BC score of 4 or 5. Offered fall semesters
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3.00 Credits
A survey of some of the fundamental ideas of discrete mathematics. Topics in-clude set theory, relations on sets (especially equivalence relations, partial orders, and functions), number theory, induction and recursion, combinatorics, and graph theory. Prerequisite: MATH 127 and MATH 130 or approval of the math depart-ment chairperson. Offered fall semesters.
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3.00 Credits
This course considers geometry from several perspectives: the classical, axiomatic approach, analytic methods linking geometry to algebra, and the modern theory of geometric transformations. Topics include Euclidean and non-Euclidean geome-tries, constructions, similarity, trigonometry, transformations, and symmetries. The history of geometry and key historical figures in its development are empha-sized, as are connections between geometry and other branches of mathematics. Prerequisite: Math 127 or approval of the math department chairperson. Alternate years: Offered Spring 2018.
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3.00 Credits
An introduction to a broad spectrum of mathematical techniques essential to the solution of advanced problems in the physical sciences. Topics include matrices, systems of linear equations, eigenvalues and eigenvectors, an overview of complex variables, Fourier series, and special functions. Examples and applications from the physical sciences and engineering will be emphasized throughout the course. Prerequisite: MATH 130 or approval
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3.00 Credits
A first course in differential equations and their applications. Topics include solv-ing first order linear differential equations, separable and exact equations, second order differential equations, initial value problems, annihilators, series solutions to differential equations, Legendre polynomials, Bessel functions, Laplace trans-forms, and an introduction to partial differential equations. Physical examples and numerical techniques will be emphasized throughout the course. Prerequisite: MATH 130 or approval of the mathematics department chairperson. Offered spring semesters.
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4.00 Credits
Topics include vector spaces; linear transformations; matrices; systems of linear equations; determinants; eigenvectors and eigenvalues. Computers are used both computationally and graphically. Prerequisite: MATH 231 or MATH 235 or ap-proval of math department chairperson. Offered spring semesters.
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3.00 Credits
Topics include time value of money, annuities with payments that are not contin-gent, loans, bonds, general cash flows and portfolios, and immunization. The con-tent of this course is aligned with the Theory of Interest material found on actuari-al exam #2. Prerequisite: MATH 130. Alternate years: Offered Spring 2018.
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3.00 Credits
Topics include set functions, counting methods, events, independence, conditional probability, Bayes rule, univariate probability distributions; including binomial, negative binomial, geometric, hypergeometric, Poisson, uniform, exponential, gamma, and normal; point estimators, confidence intervals, hypothesis testing, central limit theorem. Prerequisite: MATH 231 or approval of the math depart-ment chairperson. Offered fall semesters.
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3.00 Credits
Topics include multivariate probability distributions; including the bivariate nor-mal; joint probability functions, joint probability density functions, conditional and marginal probability distributions; transformations, and order statis-tics.sampling distributions, Central Limit Theorem, confidence intervals, proper-ties of point estimators, methods of finding estimators, hypothesis testing, least squares linear regression, ANOVA, and analysis of categorical data. Prerequisite: MATH 361. Offered spring semesters.
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