Math 153-02 (20088) Spring 2006 CSUDH

College Algebra and Trigonometry SBS E220 MWF 5:30-6:40 PM Dr. Sally Moite

Catalog Description (From Math Department sample syllabus)

Functions, including their graphs, domain, range, inverse functions. Standard algebraic transformations of functions and the corresponding transformations of their graphs. Exponential and logarithmic functions and equations; exponential growth and decay. Right-triangle trigonometry and applications. Trigonometric and inverse trigonometric functions and their graphs. Harmonic motion and sinusoids. Trigonometric identities and equations. The laws of sines and cosines.

Prerequisites Fulfillment of ELM requirement

Objectives (From Math Department sample syllabus)

After completing MAT 153 the student should be able to

1. obtain the domain and graph of linear, quadratic, exponential, logarithmic, trigonometric, and inverse trigonometric functions

2. understand the vertical and horizontal line tests

3. find the composition of two functions algebraically, and the inverse of a function, both algebraically and geometrically

4. understand the effects on the graph of a function (e.g. translations and/or reflections) due to standard algebraic changes to the function

5. use the laws of exponents and trigonometric identities

6. simplify expressions involving exponential, logarithmic, and trigonometric functions

7. solve exponential, logarithmic, and trigonometric equations

8. prove trigonometric identities

9. solve standard exponential growth and decay problems

10. understand the correspondence between the symmetries of the trigonometric circle and the symmetries of the trigonometric functions

11. use a graphic calculator to graph and evaluate exponential, logarithmic, and trigonometric functions

12. solve triangles using the laws of sines and cosines

13. apply trigonometry to surveying, navigation, area, and angular speed problems and harmonic oscillations

14. throughout, use standard mathematical notation and terminology and avoid nonsensical expressions and statements

Expected outcomes (From Math Department sample syllabus)

The student should be able to demonstrate through written assignments, tests, and/or oral presentations, that he or she has achieved the objectives of MAT 153.

Policies Students are expected to attend all sessions of the course, read the text, do and check all assigned problems, complete all work for which points are assigned. Schedule dates are approximate. Homework is due the session after a section is discussed in class, when even problems from the assignment, other than the problem to hand in, may be put on the board. Each student is required to do four problems on the board during the term. Homework problems to be turned in will be accepted if they are late, but it is to the student’s advantage to turn them in promptly. Solutions that have errors or are incomplete may be returned for correction. Projects that are late will have reduced credit. Tests will be given on the dates scheduled, and will cover the sections that have been discussed in class. There are no makeup tests. Students may miss one test in an emergency. There may be a bonus given to students who have completed all tests. All students must take the final.

Study Time It is expected that you will spend at least twice the in class hours studying for this class outside of class, that is, at least 8 hours a week. Make sure that you have planned sufficient study time in your weekly schedule for this and your other classes.

Academic Integrity (Part from Math Department sample syllabus) The student is expected to complete the work for this course independently. Cooperation on homework is encouraged, with the understanding that each student must individually master the material of the class. The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under “academic integrity”.) In accordance with these policies the instructor acknowledges that the material and examples for this course are taken or adapted from the course text or other similar books.