4/28/2024 3:53:53 PM	MATH 58 Course Outline as of Fall 1981	New Course (First Version)
CATALOG INFORMATION
Discipline and Nbr:  MATH 58	Title:  PLANE TRIGONOMETRY
Full Title:  Plane 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:

Angles of intersections of transversal with parallel lines, similar triangles, standard position angles, radians/degrees, definitions of circular functions, right triangle applications, identities, graphs of the functions, trigonometric equations, inverse functions, Laws of Sines/Cosines, vectors and applications, polar form of complex numbers, DeMoivre's Theorem, use of calculators.

Prerequisites/Corequisites:
Math 156 or qualifying placement score equivalent to high school intermediate algebra course.

Recommended Preparation:
Previous programming course/experience.

Limits on Enrollment:

Schedule of Classes Information
Description:

A complete contemporary course in trigonometry.

(Grade Only)
Prerequisites:Math 156 or qualifying placement score equivalent to high school intermediate algebra course.
Recommended:Previous programming course/experience.
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 B MC	Communication and Analytical Thinking 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 1981	Inactive:	Fall 1999
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:

To be successful, students should be able to:

1.  Discuss the topics listed in the Course Description, comparing and

   contrasting major results.

2.  Appreciate the significance of this mathematics in the solution of

   important problems, for success in future work in mathematics, in

   applications to other disciplines, and as historical contribution.

3.  Demonstrate competence in the skills from the topics detailed in

   Course Content.

4.  Formulate a strategy to solve stated problems, choose and apply the

   appropriate skills, carry out the solution with correct units of

   measure, and estimate results to verify answers to the satisfaction

   of the responsible professional staff.

Topics and Scope

1.  Trigonometric Functions of Angles.

    Definitions, special characteristics of trigonometric functions,

    radian and degree measure, inverse functions, arc length and area

    of a sector.

2.  Graphical Representation of Trigonometric Functions.

    Amplitude, period, horizontal and vertical shifts, graphs of

    fundamental trigonometric functions, general graphs and graphing

    by addition of ordinates.

3.  Identities and Conditional Equations.

    The eight fundamental indentities, proof, sum and difference of

    angles and related identities, trigonometric equations and their

    solutions.

4.  Solutions of Triangles.

    Right triangles, oblique triangles, Law of Sine, Law of Cosine,

    area of triangles, numerical solutions by use of calculators.

5.  Complex Numbers and Polar Coordinates.

    Definitions, arithmetic of complex numbers, graphical representation,

    DeMoivre's Theorem, polar form of curves, definition of vectors,

    addition and subtraction of vectors.

Assignments:

1.  The student will have daily outside reading, problem set assignments

   from required text(s), or instructor chosen supplementary materials.

2.  Instructional methodology may include, but not limited to: lecture,

   demonstrations, oral recitation, discussion, supervised practice,

   independent study, outside project or other assignments.

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 and skill demonstrations 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 25 - 50%
Homework problems, Exams
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 30 - 70%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.		Exams 0 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 0%
None

Representative Textbooks and Materials:

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 FOR COLLEGE STUDENTS, 4th Ed. by Karl Smith, California:

 Brooks/Cole, 1987.

 ANALYTIC TRIGONOMETRY WITH APPLICATIONS, 4th Ed. by Raymond A. Barnett,

 California: Wadsworth, 1988.

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