C-ID Number MATH 155 Mathematics April 30, 2012
General Course Description Preparation for calculus: polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates 4.0 Trigonometry none Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic, trigonometric; definitions, evaluation, domain and range; Inverses of functions; Algebra of functions; Graphs of functions including asymptotic behavior, intercepts, and vertices; Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions; Equations including rational, linear, radical, polynomial, exponential, trigonometric, logarithmic, and absolute value; Linear, nonlinear, and absolute value inequalities; Systems of equations and inequalities; Characterization of real and complex zeros of polynomials; Unit circle and right triangle trigonometry; Trigonometric and inverse trigonometric identities and formulas; Graphing trigonometric functions:  period, amplitude, phase shift, inverse trigonometric functions; and Polar coordinates Upon successful completion of the course, students will be able to: Graph functions and relations in rectangular coordinates and polar coordinates; Synthesize results from the graphs and/or equations of functions and relations; Apply transformations to the graphs of functions and relations; Recognize the relationship between functions and their inverses graphically and algebraically; Solve and apply equations including rational, linear, polynomial, exponential, absolute value, radical, and logarithmic, and solve linear, nonlinear, and absolute value inequalities; Solve systems of equations and inequalities; Apply functions to model real world applications; Identify special triangles and their related angle and side measures; Evaluate the trigonometric function of an angle given in degree and radian measure; Manipulate and simplify a trigonometric expression; Solve trigonometric equations, triangles, and applications; Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs; and Prove trigonometric identities Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems. A college level text designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.