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Precalculus

select to open or close Course ePortfolio detail Course ePortfolio:  Precalculus

Course ePortfolio Description:

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

Date Added to MERLOT: August 03, 2016
Created by: SUOL4ed subr
License: Creative Commons License
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Prerequisites

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Pedagogical Approach:

Course Content:

  • Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic, trigonometric; definitions, evaluation, domain and range;
  • Inverses of functions;
  • Algebra of functions;
  • Graphs of functions including asymptotic behavior, intercepts, and vertices;
  • Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions;
  • Equations including rational, linear, radical, polynomial, exponential, trigonometric, logarithmic, and absolute value;
  • Linear, nonlinear, and absolute value inequalities;
  • Systems of equations and inequalities;
  • Characterization of real and complex zeros of polynomials;
  • Unit circle and right triangle trigonometry;
  • Trigonometric and inverse trigonometric identities and formulas;
  • Graphing trigonometric functions:  period, amplitude, phase shift, inverse trigonometric functions; and
  • Polar coordinates
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
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1.
(Open (Access) Textbook)
This book covers the following: Foundations of Trigonometry, Angles and their Measure,... More
Delete the item Precalculus from this Course ePortfolio
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2.
(Open (Access) Textbook)
Precalculus published by OpenStax College is an excellent free open textbook for... More