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Course ePortfolio

Precalculus

This collection contains the California Open Educational Resources Council (CA OER) list of peer-reviewed textbooks for Precalculus (common course-id MATH 155), one of the top 50 college courses identified for inclusion in the California Open Online Library for Education (COOLforEd).

CID Number: MATH 155

General Course Description: MATH 155

Preparation for calculus: polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates.

Minimum Units: 4.0

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Prerequisites

Prerequisites: Trigonometry

Corequisites: None

Pedagogical Approach & Learning Outcomes

None

Learning Outcomes

Upon successful completion of the course, students will be able to:

• Graph functions and relations in rectangular coordinates and polar coordinates;
• Synthesize results from the graphs and/or equations of functions and relations;
• Apply transformations to the graphs of functions and relations;
• Recognize the relationship between functions and their inverses graphically and algebraically;
• Solve and apply equations including rational, linear, polynomial, exponential, absolute value, radical, and logarithmic, and solve linear, nonlinear, and absolute value inequalities;
• Solve systems of equations and inequalities;
• Apply functions to model real world applications;
• Identify special triangles and their related angle and side measures;
• Evaluate the trigonometric function of an angle given in degree and radian measure;
• Manipulate and simplify a trigonometric expression;
• Solve trigonometric equations, triangles, and applications;
• Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs; and
• Prove trigonometric identities

Assessment & Other Information

Assessment

Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

None

Course Resources

• Precalculus (Open (Access) Textbook)
This book covers the following: Foundations of Trigonometry, Angles and their Measure, Applications of Radian Measure,... More
• Precalculus (Open (Access) Textbook)
Precalculus published by OpenStax College is an excellent free open textbook for college-level precalculus students.... More