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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 Southern University Online Library for Education (SUOLforEd).

See LA Master Course Matrix

http://www.regents.la.gov/page/master-course-articulation-matrix

#### 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