SRJC Course Outlines

4/25/2024 4:08:36 PM	MATH 58 Course Outline as of Fall 2006	Reinstated Course
CATALOG INFORMATION
Discipline and Nbr: MATH 58	Title: TRIGONOMETRY
Full Title: 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	17.5 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:
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Topics from trigonometry including trigonometric functions and their graphs, trigonometric identities, trigonometric equations, inverse trigonometric functions, complex numbers, polar coordinates, parametric equations, vectors, and applications.

Prerequisites/Corequisites:
Completion of MATH 155 or higher (V1)

Recommended Preparation:
No advisories.

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document

(Grade Only)
Prerequisites:Completion of MATH 155 or higher (V1)
Recommended:No advisories.
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: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon successful completion of the course, students will be able to:

1. Define the trigonometric functions.

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

angular velocity.

3. Verify trigonometric identities.

4. Solve, both graphically and analytically, equations involving

trigonometric functions.

5. Graph trigonometric functions and shifts, reflections and

stretches of these functions.

6. Define and graph the inverse trigonometric functions.

7. Apply trigonometric functions and identities to solve

applications 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
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Instructional methodology may include, but is not limited to: lecture,

demonstrations, oral recitation, discussion, supervised practice,

independent study, outside project or other assignments.

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

III. Graphical Representation of Trigonometric Functions

A. Amplitude

B. Period

C. Phase (horizontal) shifts

D. Vertical shifts

IV. Inverse Functions

A. Definition

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:
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1. Daily reading outside of class (approximately 0-50 pages per week)

2. Problem set assignments from required text(s)or supplementary materials

chosen by the instructor

3. Exams and quizzes

4. Projects

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 problems
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, Free response exams, quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 10%
Projects (e.g., computer projects or measurement activities)

Representative Textbooks and Materials:
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Text(s) required of each student will be selected by the department,

a committee of the department, or the responsible instructor from the

books currently available. Choices in the past have included:

Trigonometry Enhanced With Graphing Utilities (4th). Sullivan, Michael

and Sullivan III, Michael. Prentice Hall: 2006.

Trigonometry (1st). Dugopolski, Mark. Addison Wesley: 2003.

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Curriculum

SRJC Course Outlines