Mathematics 152‑4 Calculus II This course is a continuation of Calculus I. Provides students with a detailed knowledge of the calculus of transcendental functions (differentiate and integrate inverse trigonometric and hyperbolic functions), formal integration methods (integration by parts integration of powers of trigonometric functions, trigonometric substitution, partial fractions, and selected special substitutions), evaluating improper integrals, analyzing indeterminate forms and using L’Hôpital’s rule, infinite series, power series, construct Talyor and Maclaurin series for functions, differential equations and analytic geometry (parabolas, ellipses and hyperbolas). Prerequisite: Math 151 - Calculus I or AP Calculus (4 or higher). Offered as needed
Topics include logic and set theory, methods of proof, mathematical induction, mathematical recursion, and problem solving. Prerequisites: Math 152 or permission. Fall
175-1 LaTeX This course provides students with an introduction to technical writing and computer presentation with LaTeX. What is LaTeX? LaTeX is based on Donald Knuth’s TeX typesetting language to produce well-structured documents particularly those containing scientific formulae, mathematical proofs or computer programs for publication. This course will cover the following topics: History of LaTeX, LaTeX Installation, Typesetting Basics, Math Typesetting, Tables, Graphics, Packages, Programming, Document Classes, BibTeX, Beamer and Creating Packages. Spring
310-3 Discrete Mathematics A study of sets, bionomial coefficients, lattice paths, inclusion-exclusion, combinations and permutations, recursions, induction, and graph theory. Applications to computer science and operations research. Prerequisite: Math 230 or permission. Offered as needed
205‑3 Statistics An introduction to descriptive and inferential statistics. Intended primarily for students of the social sciences, business, psychology, and education. Includes organizing and describing data, probability, random variables, sampling distributions, estimation, hypothesis testing, correlation, regression, and analysis of variance. Prerequisite: Two years of high school algebra or college equivalent. Fall and Spring 230‑3 Fundamentals of Advanced Mathematics A study of selected topics designed to prepare the student for advanced mathematics courses.
253‑4 Calculus III A continuation of Calculus II - Differential and integral calculus in three dimensions with vector analysis. Vectors and curvilinear motion; partial derivatives; gradient and its applications; multivariable Chain Rule; maxima and minima, including Lagrange multipliers; double and triple integration; line integrals; Green’s Theorem; surface integrals; Divergence Theorem; Strokes’s Theorem; surface integrals; Divergence Theorem; Stokes’s Theorem. Prerequisite: Math 152. Offered as needed
314-3 Technology in Mathematics The goal of this course is to learn in an exploratory fashion how to use programming skills and mathematical software to solve a variety of mathematical/scientific problems. The course will concentrate on programming. The initial foundation in programming will be built using Python and will also investigate the integration of various freely available software programs (like Geogebra, Mathematica, GNUPlot, R) into mathematics education. Prerequisite: Math 152. Offered as needed 315-3 Linear Algebra A study of systems of linear equations, matrices, vector spaces and linear transformations, determinants, eigenvalues, and eigenvectors. Prerequisite: Math 230 or permission. Offered as needed
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