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# Undergraduate Mathematics-Rock County

# Undergraduate Mathematics-Rock County

## 2022 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 103

Integer, rational, real and complex numbers, polynomials, exponents and radicals, rational expressions and functions are defined. Arithmetic operations of addition, subtraction multiplication and division are extended to these algebraic objects. Equations and inequalities involving the algebraic objects are solved including polynomial equations through the quadratic formula. Applications that utilize linear and quadratic, rational and radical equations are studied as well as algebraic and graphical representation of lines and 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.