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# Undergraduate Mathematics-Rock County

# Undergraduate Mathematics-Rock County

## 2024 Spring Term

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#### INTERMEDIATE ALGEBRA

##### MAT 103

MAT 103 is the second of a two-course sequence for Math, Science, Business, Nursing, and Engineering students. Review of Number Systems. Coordinate Geometry, and Properties of Integer and Rational Exponents; Radicals; Polynomials; Introduction to Elementary Functions; Arithmetic of Numbers, Polynomials, Radicals, and Elementary Functions; Solving Linear and Quadratic Equations and Inequalities; Modeling.

#### INTRODUCTION TO COLLEGE ALGEBRA

##### MAT 105

Emphasizes algebraic techniques with polynomials, fractional expressions, exponents and radicals, linear and quadratic equations, and inequalities. Introduction to functions, their graphs, and analytic geometry.

#### QUANTITATIVE REASONING

##### MAT 108

This course is intended to develop analytic reasoning and the ability to solve quantitative problems. Topics to be covered include construction and interpretation of graphs, functional relationships, descriptive statistics, geometry and spatial visualization, the math of finance, exponential growth, and basic probability. Appropriate use of units and dimensions, estimates, mathematical notation, and available technology will be emphasized throughout the course.

#### COLLEGE ALGEBRA

##### MAT 110

Definition of function and sequence; linear and nonlinear functions and graphs including logarithmic and exponential functions; systems of linear equations and Gauss-Jordan method; theory of polynomial equations; conic sections and optional topics such as mathematical induction, matrix solution of linear systems and Cramer's rule.

#### TRIGONOMETRY

##### MAT 113

Trigonometric functions, their basic properties and graphs, identities, inverse trigonometric functions, solving trigonometric equations, solutions of triangles.

#### ELEMENTARY STATISTICS

##### MAT 117

The primary aim of the course is a basic understanding and use of statistical concepts and methods to facilitate study and 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 and chi square test.

#### CALCULUS AND ANALYTICAL GEOMETRY I

##### MAT 221

Analytic geometry, functions, limits and continuity, the derivative, integrals, techniques and applications of differentiation, applications of integration, logarithmic and exponential functions, and trigonometric functions. Students may not earn more than six credits by taking both MAT 211 and MAT 221.

#### CALCULUS AND ANALYTICAL GEOMETRY II

##### MAT 222

Continuation of 221. Techniques of integration, polar coordinates, conic sections, infinite series, and vectors of two and three dimensions. Note: the order of topics covered in MAT 221 and MAT 222 may depend on the text used and the instructor.

#### CALCULUS OF SEVERAL VARIABLES

##### MAT 234

Continuation of MAT 222. Analytic geometry of three dimensions, functions of several variables, and multiple integrations. This course is equivalent to MAT 223 without differential equations.

#### BASIC MATHEMATICS

##### MAT 90

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, fractions and decimals, ratios and percents, and basic algebraic concepts. Prepares the student for Elementary Algebra.

#### ELEMENTARY ALGEBRA

##### MAT 91

Intended for students with little or no previous algebra. Topics include the real number system and operations with real numbers and algebraic expressions, linear equations and inequalities, polynomials, factoring, and introduction to quadratic equations.

#### ELEMENTARY ALGEBRA

##### MAT 95

Intended for students with little or no previous algebra. This course is the first course in a two-course sequence (with MAT 103) for math, science, business, nursing, and engineering students. This sequence satisfies the preparation for pre-algebra requirements. Students will be able to evaluate, construct, and communicate arguments using quantitative methods and formal reasoning.