SRJC Course Outlines

10/20/2019 10:21:15 PMMATH 58 Course Outline as of Summer 2019

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 58Title:  PRECALCULUS TRIGONOMETRY  
Full Title:  Precalculus Trigonometry
Last Reviewed:10/22/2018

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:
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Trigonometry topics, including trigonometric identities, equations, functions, inverse functions, and graphs, polar coordinates, parametric equations, complex numbers, vectors and applications.

Prerequisites/Corequisites:
Completion of MATH 156 or MATH 154 or MATH 155 or appropriate placement based on AB 705 mandates


Recommended Preparation:

Limits on Enrollment:

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

Prerequisites:Completion of MATH 156 or MATH 154 or MATH 155 or appropriate placement based on AB 705 mandates
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

Student Learning Outcomes:
Upon completion of the course, students will be able to:
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1.  Define and graph the six trigonometric functions and their inverses, solve equations involving
    trigonometric functions symbolically and graphically, and verify trigonometric identities.
2.  Use trigonometric functions, identities, and Laws of Sines and Cosines to solve application
    problems.
3.  Define, graph, and demonstrate appropriate applications of vectors, complex numbers in
    trigonometric form, polar coordinates, and parametric equations.

Objectives: Untitled document
During this course, students will:
1. Define and apply the trigonometric functions, using right triangle and unit circle approaches,
    and using degree and radian measures.
2. Verify and apply trigonometric identities.
3. Solve equations involving trigonometric functions both graphically and analytically.
4. Graph trigonometric functions and their transformations.
5. Define and graph the inverse trigonometric functions.
6. Solve applications and modeling problems using the trigonometric functions, identities, and
    the Laws of Sines and Cosines.
7. Represent complex numbers in trigonometric form and perform operations.
8. Use vectors to model applications in mathematics and science.

Topics and Scope
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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
    B. Reflections
    C. Period
    D. Phase (horizontal) shift
    E. Vertical shifts
IV. Inverse Functions
    A. Definitions
    B. Properties
     C. 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. Reading outside of class (0-60 pages per week)
2. Problem sets (1-8 per week)
3. Quizzes (0-4 per week)
4. Projects (0-10)
5. Exams (2-6)
6. Final exam

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%
Problem sets
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%
Exams and quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%
Projects


Representative Textbooks and Materials:
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Precalculus: Mathematics for Calculus. 7th ed. Stewart, James and Redlin, Lothar and Watson, Saleem. Cengage L. 2015
Precalculus. 3rd corrected ed. Stitz, Carl and Zeager, Jeffrey. Open Source Text. 2013 (classic)

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