Precalculus
  • Final
  • Mathematics
  • Precalculus
  • 4.0
  • Preparation for calculus: polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates

  • 155
  • Trigonometry

    1. Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic, trigonometric; definitions, evaluation, domain and range;
    2. Inverses of functions;
    3. Algebra of functions;
    4. Graphs of functions including asymptotic behavior, intercepts, and vertices;
    5. Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions;
    6. Equations including rational, linear, radical, polynomial, exponential, trigonometric, logarithmic, and absolute value;
    7. Linear, nonlinear, and absolute value inequalities;
    8. Systems of equations and inequalities;
    9. Characterization of real and complex zeros of polynomials;
    10. Unit circle and right triangle trigonometry;
    11. Trigonometric and inverse trigonometric identities and formulas;
    12. Graphing trigonometric functions:  period, amplitude, phase shift, inverse trigonometric functions; and
    13. Polar coordinates

  • Upon successful completion of the course, students will be able to:

    1. Graph functions and relations in rectangular coordinates and polar coordinates;
    2. Synthesize results from the graphs and/or equations of functions and relations;
    3. Apply transformations to the graphs of functions and relations;
    4. Recognize the relationship between functions and their inverses graphically and algebraically;
    5. Solve and apply equations including rational, linear, polynomial, exponential, absolute value, radical, and logarithmic, and solve linear, nonlinear, and absolute value inequalities;
    6. Solve systems of equations and inequalities;
    7. Apply functions to model real world applications;
    8. Identify special triangles and their related angle and side measures;
    9. Evaluate the trigonometric function of an angle given in degree and radian measure;
    10. Manipulate and simplify a trigonometric expression;
    11. Solve trigonometric equations, triangles, and applications;
    12. Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs; and
    13. 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.

  • April 30, 2012