C-ID Number | MATH 155 |
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Discipline | Mathematics |

Date Approved | April 30, 2012 |

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.