Undergraduate Mathematics-Rock County
2020 Summer Term
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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.
INTRODUCTION TO COLLEGE ALGEBRA
Emphasizes algebraic techniques with polynomials, fractional expressions, exponents & radicals, linear & quadratic equations, & inequalities. Intro to functions, their graphs, & analytic geometry.
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.
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.
Trigonometric functions, their basic properties & graphs, identities, inverse trigonometric functions, solving trigonometric equations, solutions of triangles.
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 AND ANALYTICAL GEOMETRY I
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
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
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
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.