12/26/2024 10:12:34 PM	MATH 58 Course Outline as of Fall 2014	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 58	Title:  PRECALCULUS TRIGONOMETRY
Full Title:  Precalculus Trigonometry
Last Reviewed:2/10/2020

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	3.00	Lecture Scheduled	3.00		17.5 max.	Lecture Scheduled	52.50
Minimum	3.00	Lab Scheduled	0		6 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	3.00			Contact Total	52.50
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  105.00

Total Student Learning Hours: 157.50

Title 5 Category:  AA Degree Applicable
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Trigonometric functions and their graphs, trigonometric identities, trigonometric equations, inverse trigonometric functions, complex numbers in trigonometric form, polar coordinates, parametric equations, vectors, and applications.

Prerequisites/Corequisites:
Completion of MATH 154 or MATH 155 or higher; or Qualifying Placement from Math Assessment. See Student Success & Assessment Services (assessment.santarosa.edu) for more information about the assessment process.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

Trigonometric functions and their graphs, trigonometric identities, trigonometric equations, inverse trigonometric functions, complex numbers in trigonometric form, polar coordinates, parametric equations, vectors, and applications.

(Grade Only)
Prerequisites:Completion of MATH 154 or MATH 155 or higher; or Qualifying Placement from Math Assessment. See Student Success & Assessment Services (assessment.santarosa.edu) for more information about the assessment process.
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:	Fall 1981	Inactive:
Area:	B MC	Communication and Analytical Thinking Math Competency
CSU GE:	Transfer Area			Effective:	Inactive:
	B4	Math/Quantitative Reasoning		Fall 2006
	B4	Math/Quantitative Reasoning		Fall 1981	Fall 1996
IGETC:	Transfer Area			Effective:	Inactive:
CSU Transfer:	Transferable	Effective:	Fall 2006	Inactive:
UC Transfer:		Effective:		Inactive:
C-ID:

Certificate/Major Applicable: Both Certificate and Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:

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

1.   Define the trigonometric functions using both the right triangle and unit circle methods.

2.   Use radian measure to find arc length, sector area, and linear and

      angular velocity.

3.   Verify trigonometric identities.

4.   Solve equations involving trigonometric functions both graphically and analytically.

5.   Graph trigonometric functions and their transformations.

6.   Define and graph the inverse trigonometric functions.

7.   Apply trigonometric functions and identities to solve application and

       modeling problems.

8.   Solve right and oblique triangles using the trigonometric

      functions and the Laws of Sine and Cosine.

9.   Represent complex numbers in, and perform operations using,

      trigonometric form.

10. Use vectors to model applications in mathematics and science.

Topics and Scope

I.    Trigonometric Functions

       A. Radian and degree measures of angles

            1. Arc length

            2. Area of a sector

            3. Linear and angular velocity

       B. Right triangle and unit circle definitions

       C. Characteristics of trigonometric functions

II.   Identities and Conditional Equations

       A. Fundamental identities

       B. Sum and difference identities

       C. Related identities and their derivations

       D. Conditional trigonometric equations and applications

III. Graphical Representation of Trigonometric Functions

       A. Amplitude and reflections

       B. Period

       C. Phase (horizontal) shifts

       D. Vertical shifts

IV.  Inverse Functions

       A. Definitions

       B. Properties of inverse functions

       C. Inverse trigonometric functions and their graphs

V.   Solutions of Triangles

       A. Right triangles

       B. Oblique triangles

       C. Laws of Sines and Cosines

       D. Applications

VI.  Complex Numbers, Polar Coordinates, and Parametric Equations

       A. Definitions

       B. Operations

       C. Graphical representation of complex numbers

       D. DeMoivre's Theorem

       E. Polar coordinates

       F. Parametric equations

VII. Two Dimensional Vectors

       A. Geometric and analytic definitions

       B. Algebra of vectors

       C. Trigonometric form of vectors

       D. Dot product

       E. Applications  

Assignments:

1.  Daily reading outside of class (20-50 pages per week).

2.  Homework assignments from required text(s) or supplementary

     materials chosen by the instructor (1-6 per week).

3.  Quizzes (0-4 per week).

4.  Exams (3-8 per term).

5.  Projects (for example, computer explorations or modeling activities, 0-10 per term).

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 5 - 20%
Homework assignments
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 0 - 0%
None
Exams: All forms of formal testing, other than skill performance exams.		Exams 70 - 95%
Multiple choice and free response exams; quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 10%
Projects

Representative Textbooks and Materials:

Analytic Trigonometry with Applications (11th ed.).  Barnett, Ziegler, & Byleen.  Wiley:  2012.

PreCalculus:  Mathematics for Calculus (6th ed.).  Stewart, Redlin, and Watson.  Brooks/Cole:  2012.

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