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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1. TITLE OF COURSE: College Trigonometry
  PREFIX/NUMBER: MAT 122 CREDIT HOURS: 3
2. PREREQUISITE: Successful completion of MAT 121 with a C or better or math assessment.
3.

RESOURCES NEEDED:

 
 

TEXT:

Trigonometry, 2/e, Dugopolski

 

SUPPLIES:

Paper, pencil, scientific calculator

4.

COURSE DESCRIPTION:

Covers topics including trigonometric functions (with graphs and inverse functions), identities and equations, solutions of triangles, complex numbers, and other topics as time permits. This is a traditional prerequisite course to the calculus sequence.
5. STANDARD COMPETENCIES:
a. Acquire an understanding of trigonometric vocabulary. Measure angles in degrees and radians.
b. Calculate the values of trigonometric functions of acute angles using right triangles.  Evaluate trigonometric functions for general angles.  Use reference angles to evaluate trigonometric functions.
c. Construct the graphs of the trigonometric functions.
d. Read and interpret angular and linear velocity type problems.
e. Read, interpret, and use drawing to solve survey type problems.
f. Recall and apply the reciprocal, quotient, Pythagorean, and even-odd identities to simplify expressions
g. Use the fundamental identities to verify trigonometric identities.
h. Employ the formulas for sums and differences to find the exact values of the trigonometric functions for selected angles, and to simplify expressions.
i. Derive and use the double-angle and half-angle formulas.
j. Use the product and sum formulas, and graph combination of sine and cosine functions.
k. Describe the relationship between the trigonometric functions and their inverses.
l. Calculate solutions for trigonometric equations with variable side conditions.
m. Solve right triangles.
n. Use the law of sines to solve a general triangle, including ambiguous case.

6.

COURSE OUTLINE

 

1. Angles and the Trigonometric Functions

 

 

1.1  Angles and Degree Measure

 

 

1.2  Radian Measure, Arc Length, and Area

 

 

1.3  Angular and Linear Velocity

 

 

1.4  The Trigonometric Functions

 

 

1.5  The Fundamental Identity and Reference Angles

 

 

1.6  Right Triangle Trigonometry

 

2.  Graphs of the Trigonometric Functions

 

 

2.1  Graphs of the Sine and Cosine Functions

 

 

2.2  The General Sine Wave

 

 

2.3  Graphs of the Tangent and Cotangent Functions

 

 

2.4  Graphs of the Secant and Cosecant Functions

 

 

2.5  Combining Functions

 

3.  Trigonometric Identities

 

 

3.1  Basic Identities

 

 

3.2  Verifying Identities

 

 

3.3  Sum and Difference Identities for Cosines

 

 

3.4  Sum and Difference Identities for Sine and Tangent

 

 

3.5  Double-Angle and Half-Angle Identities

 

 

3.6  Product and Sum Identities

 

4.  Solving Conditional Trigonometric Equations

 

 

4.1  The Inverse Trigonometric Functions

 

 

4.2  Basic Sine, Cosine, and Tangent Equations

 

 

4.3  Multiple Angle Equations

 

 

4.4  Trigonometric Equations of Quadratic Type

 

5.  Applications of Trigonometry

 

 

5.1  The Law of Sines

 

 

5.2  The Law of Cosines

 

 

5.3  Area of a Triangle

 

 

5.4  Vectors

5.5 Applications of Vectors

7. EVALUATION PROCEDURES:

Evaluation methods and procedures will be determined by the instructor.   These may consist of but not limited to:  quizzes, assignments, exams, individual and/or group projects.

Grading Scale:

90% - 100% - A

80% - 89% - B

70% - 79% - C

60% - 69% - D

0% - 59% - F

8. Special Remarks:
Homework: Homework will be assigned and evaluated as determined by the instructor.

Cheating:

If cheating occurs, it will result in a zero on that exam.

Attendance:

Attendance will be taken and students will be dropped when they have  missed 20% of the total class time.  Missed exams  will result in a zero for that exam unless prior arrangements have been  made.

Conduct: Professional and courteous behavior is expected at all times.  Disruptive behavior is unacceptable in the classroom and may result in the student's temporary or permanent removal from the course.
Help is available outside of class in the math lab or from your instructor.
9. ACADEMIC INTEGRITY:
  The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Sanctions for violating the standards of academic integrity may include warning, probation, suspension, and/or failure of the course or assignment at the discretion of the instructor.
10. ADA NOTICE:
 

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.