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# Undergraduate Mathematics-Rock County

# Undergraduate Mathematics-Rock County

## 2021 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.

#### ELEMENTARY ALGEBRA

##### MAT 097

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.

#### 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 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.