ST. LOUIS COMMUNITY COLLEGE AT FLORISSANT VALLEY

COURSE OF STUDY

MTH:170

 

DEPARTMENT:                    Mathematics                      LAST UPDATE:  Fall 2002  

 

COURSE TITLE:       Trigonometry                                  CREDIT HOURS:       3

 

LECTURE HOURS PER WEEK:      3                                                                   LAB HOURS PER WEEK:  0

 

During the first week of the semester, it is the responsibility of each instructor to furnish, in writing, the course objectives and a course syllabus.  The objectives are stated below.  The syllabus should include instructor information, course information, expected outcomes, course requirements, method of evaluation and an explanation of grading policies, policies on make up work, ground rules for class participation, a tentative class schedule, withdrawal dates, expected classroom behavior, information on the math learning center, consultation (office) hours, and an Americans with Disabilities Act (ADA) accommodations statement.

 

COURSE DESCRIPTION:

 

This course uses an analytic approach to the definitions and graphs of the functions of an angle.  It includes formulas and identities, trigonometric functions, inverse functions, and radian measure.

 

COURSE PREREQUISITE:

 

MTH:160 with a grade of “C” or better, or satisfactory score on placement test.

NOTE: Credit will not be granted for both MTH:170 and MTH:185

 

TEXT:

 

Fundamentals of Trigonometry, Ninth Edition, Swokowski and Cole, Brooks/Cole, 1999.

 

The use of a TI 83/84 is required of every student in this course.

 

 

COURSE OBJECTIVES:

 

The student will…

  1. be able to measure angles in degrees and radians.
  2. learn the trigonometric functions, their relationship to triangles, their graphs, their identities, and their inverse functions.
  3. be able to solve equations and learn applications involving trigonometric functions

 SUPPLEMENTARY MATERIALS:

 

  1. A Student Solutions Manual with detailed solutions to all odd-numbered problems and to all chapter and cumulative review exercises.
  2. Brooks/Cole will provide, through the department chair, an Instructor’s Resource Manual, Testing Tools (A testing and tutorial software package), and a bound test bank.

 

ADDITIONAL COMMENTS:

 

Credit will not be given for both MTH:170 and MTH:185.


COURSE OUTLINE:

                                                                                                             

                                                                         

 

 

Suggested Time Allotment

Chapters and Sections

Topics

(Number of weeks)

 

 

 

Chapter 2

Trigonometric Functions

7

2.1

Angles

 

2.2

Trigonometric Functions (in terms of unit circle)

 

2.3

Graphs of Trigonometric Functions

 

2.4 and 2.5

Trigonometric Functions of Angles

Values of the Trigonometric Functions

(includes values of special angles, right triangles, and reference angles)

 

2.6 and 2.7

Trigonometric Graphs and Additional Trigonometric Graphs

(includes amplitude and period topics)

 

2.8

Applied Problems

 

 

 

 

Chapter 3

analytic trigonometry

4

3.1

Verifying Trigonometric Identities

 

3.2

Trigonometric Equations

 

3.3

The Addition and Subtraction Formulas

 

 3.4

Multiple-Angle Formulas

 

3.5

Product-to-Sum and Sum-to-Product Formulas

 

3.6

The Inverse Trigonometric Functions

 

 

 

 

Chapter 4

Applications of Trigonometry

4

4.1

The Law of Sines

 

4.2

The Law of Cosines

 

4.3

Trigonometric Form for Complex Numbers

 

4.4

DeMoivre’s Theorem and nth Roots of Complex Numbers

 

4.5

Vectors

 

 4.6

The Dot Product

 

 

 

 

Chapter 6

topics from analytic geometry

1

6.5

Polar Coordinates

 

6.6

Polar Equations of Conics

 

 

 

TOTAL:  16