SRJC Course Outlines

5/10/2021 9:07:27 PMMATH 58 Course Outline as of Fall 2008

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 58Title:  TRIGONOMETRY  
Full Title:  Trigonometry
Last Reviewed:2/10/2020

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum3.00Lecture Scheduled3.0017.5 max.Lecture Scheduled52.50
Minimum3.00Lab Scheduled06 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total3.00 Contact Total52.50
 
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  105.00Total 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:
Untitled document
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:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Trigonometric functions and their graphs, trigonometric identities, trigonometric equations, inverse trigonometric functions, complex numbers, polar coordinates, parametric equations, vectors, and applications.  
(Grade Only)

Prerequisites:Completion of MATH 155 or higher (V1)
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:
 B4Math/Quantitative ReasoningFall 2006
 B4Math/Quantitative ReasoningFall 1981Fall 1996
 
IGETC:Transfer Area Effective:Inactive:
 
CSU Transfer:TransferableEffective:Fall 2006Inactive:
 
UC Transfer:Effective:Inactive:
 
C-ID:

Certificate/Major Applicable: Both Certificate and Major Applicable



COURSE CONTENT

Outcomes and Objectives:
Upon completion of the course, students will be able to:
Untitled document
Upon completion of the course, students will be able to:
1.   Define the trigonometric functions, using both right triangle and unit circle.
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 transformations 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
Untitled document
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:
Untitled document
1.  Daily reading outside of class (approximately 20-50 pages per week).
2.  Problem set assignments from required text(s)or supplementary
     materials chosen by the instructor (approximately 1-6 per week).
3.  Quizzes (approximately 0-4 per week).
4.  Exams (approximately 3-8 per term).
5.  Projects (for example, computer explorations or modeling activities,
     approximately 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 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 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:
Untitled document
Trigonometry (9th).  Lial, Hornsby & Schneider.  Addison-Wesley:  2008.  

Print PDF