# SRJC Course Outlines

 9/13/2024 1:53:23 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

Catalog Description:
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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: Untitled document
A complete contemporary course in trigonometry.

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: BBMC Communication and Analytical ThinkingCommunication and Analytical ThinkingMath 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:
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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
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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
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,

Assignments:
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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.

 Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. Writing0 - 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 Solving25 - 50% Homework problems, Exams Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. Skill Demonstrations30 - 70% Performance exams Exams: All forms of formal testing, other than skill performance exams. Exams0 - 25% Multiple choice Other: Includes any assessment tools that do not logically fit into the above categories. Other Category0 - 0% None

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 FOR COLLEGE STUDENTS, 4th Ed. by Karl Smith, California:
Brooks/Cole, 1987.
ANALYTIC TRIGONOMETRY WITH APPLICATIONS, 4th Ed. by Raymond A. Barnett,