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

Date Added to MERLOT:: October 2, 2015
Created by:: California Open Education Resource Council CA OER
License:

Prerequisites

Prerequisites: Trigonometry

Corequisites: None

Advisories/Recommendations: None

Pedagogical Approach & Learning Outcomes

Pedagogical Approach

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.

Other Information

None

Course Resources

Precalculus (Open (Access) Textbook)

This book covers the following: Foundations of Trigonometry, Angles and their Measure, Applications of Radian Measure,... More

This book covers the following: Foundations of Trigonometry, Angles and their Measure, Applications of Radian Measure, Cosine and Sine, Beyond the Unit Circle, The Six Circular Functions and Fundamental Identities, Beyond the Unit Circle, Trigonometric Identities, Graphs of the Trigonometric Functions, Graphs of the Cosine and Sine Functions, Graphs of the Secant and Cosecant Functions, Graphs of the Tangent and Cotangent Functions, The Inverse Trigonometric Functions, Inverses of Secant and Cosecant: Trigonometry Friendly Approach, Inverses of Secant and Cosecant: Calculus Friendly Approach, Using a Calculator to Approximate Inverse Function Values, Solving Equations Using the Inverse Trigonometric Functions, Trigonometric Equations and Inequalities, Applications of Trigonometry, Applications of Sinusoids, Harmonic Motion, The Law of Sines, The Law of Cosines, Polar Coordinates, Graphs of Polar Equations, Hooked on Conics Again, Rotation of Axes, The Polar Form of Conics, Polar Form of Complex Numbers, Vectors, The Dot Product and Projection, and Parametric Equations. In addition, exercises and answers are provided for the reader. Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.
Precalculus (Open (Access) Textbook)

Precalculus published by OpenStax College is an excellent free open textbook for college-level precalculus students.... More