Undergraduate Mathematics-Rock County
Undergraduate Mathematics-Rock County
2020 Spring Term
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BASIC MATHEMATICS
MAT 090
Designed for students with minimum algebra background or who have been away from mathematics for several years. Subject areas to be covered include arithmetic of whole numbers, fraction & decimals, ratios & percents, & basic algebraic concepts. Prepares the student for Elementary Algebra. This course is offered through a contractual arrangement with the local WTCS institution as MAT 092. This course is offered by the campus TRIO/student support services program as MAT 094.
ELEMENTARY ALGEBRA
MAT 091
Intended for students with little or no previous algebra. Topics include the real number system & operations with real numbers & algebraic expressions, linear equations & inequalities, polynomials, factoring, & Intro to quadratic equations.
BEGINNING AND INTERMEDIATE ALGEBRA
MAT 103B
Integer, rational, real & complex numbers, polynomials, exponents & radicals, rational expressions & functions are defined. Arithmetic operations of addition, subtraction multiplication & division are extended to these algebraic objects. Equations & inequalities involving the algebraic objects are solved including polynomial equations through the quadratic formula. Applications that utilize linear & quadratic, rational & radical equations are studied as well as algebraic & graphical representation of lines & interpreting graphical representation of functions.
INTRODUCTION TO COLLEGE ALGEBRA
MAT 105
Emphasizes algebraic techniques with polynomials, fractional expressions, exponents & radicals, linear & quadratic equations, & inequalities. Intro to functions, their graphs, & analytic geometry.
QUANTITATIVE REASONING
MAT 108
This course is intended to develop analytic reasoning & the ability to solve quantitative problems. Topics to be covered include construction & interpretation of graphs, functional relationships, descriptive Stat., geometry & spatial visualization, math of finance, exponential growth, & basic probability. Appropriate use of units & dimensions, estimates, mathematical notation & available technology will be emphasized throughout the course.
COLLEGE ALGEBRA
MAT 110
Definition of function & sequence; linear & nonlinear functions & graphs including logarithmic & exponential functions; systems of linear equations & Gauss-Jordan method; theory of polynomial equations; conic sections & optional topics such as mathematical induction, matrix solution of linear systems & Cramer's rule.
TRIGONOMETRY
MAT 113
Trigonometric functions, their basic properties & graphs, identities, inverse trigonometric functions, solving trigonometric equations, solutions of triangles.
ELEMENTARY STATISTICS
MAT 117
The primary aim of the course is a basic underst&ing & use of statistical concepts & methods to facilitate study & research in other disciplines. Includes measures of central tendency, measures of variability, grouped data, the normal distribution, central limit theorem, hypothesis testing, estimation, T-distribution & chi square test.
TOPICS IN FINITE MATHEMATICS
MAT 210
Matrices, linear programming & applications, probability, Markov chains, & mathematics of finance.
CALCULUS
MAT 211
Primarily for students in business, the social Sci.s, & biological Sci.s who wish to acquire some knowledge of the techniques & applications of calculus. Topics include concepts, techniques, & applications of differential & integral calculus including multivariate calculus. Students who are preparing to major in mathematics, engineering, or physical Sci.s should enroll in the MAT 221-MAT 222 sequence. Students may not earn more than six credits by taking both MAT 211 & MAT 221.
CALCULUS AND ANALYTICAL GEOMETRY I
MAT 221
Analytic geometry, functions, limits & continuity, the derivative, integrals, techniques & applications of differentiation, applications of integration, logarithmic & exponential functions, & trigonometric functions. Students may not earn more than six credits by taking both MAT 211 & MAT 221.
CALCULUS AND ANALYTICAL GEOMETRY II
MAT 222
Continuation of 221. Techniques of integration, polar coordinates, conic sections, infinite series, & vectors of two & three dimensions. Note: the order of topics covered in MAT 221 & MAT 222 may depend on the text used & the instructor.
CALCULUS AND ANALYTICAL GEOMETRY III
MAT 223
Continuation of MAT 222. Analytic geometry of three dimensions, functions of several variables, partial differentiation, multiple integration, & Intro to differential equations.
CALCULUS OF SEVERAL VARIABLES
MAT 234
Continuation of MAT 222. Analytic geometry of three dimensions, functions of several variables, & multiple integration. This course is equivalent to MAT 223 without differential equations. Students may not receive credit for both MAT 223 & MAT 234.
ORDINARY DIFFERENTIAL EQUATIONS
MAT 271
Ordinary differential equations of the first & second order, series solutions, higher order linear equations, the Wronskian, Laplace transform & applications, numerical methods & boundary value problems.