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Study Guides

College Algebra

Copyright: The following courseware includes resources copyrighted and openly licensed by third parties under a Creative Commons Attribution 4.0 License. Click "Licenses and Attributions" at the bottom of each page for copyright information and license specific to the material on that page. If you believe that this courseware violates your copyright, please contact us.

Course Contents

Divide Polynomials
Course Contents at a Glance
Methods for Finding Zeros of Polynomials

Module 1: Algebra Essentials

Putting It Together: Power and Polynomial Functions
Why It Matters: Algebra Essentials

Module 10: Rational and Radical Functions

Real Numbers
Why It Matters: Rational And Radical Functions
Exponents and Scientific Notation
Rational Functions
Radicals and Rational Exponents
Radical Functions
Putting It Together: Algebra Essentials
Variation

Module 2: Polynomial and Rational Expressions

Putting It Together: Rational and Radical Functions
Why It Matters: Polynomial and Rational Expressions

Module 11: Exponential and Logarithmic Functions

Polynomial Basics
Why It Matters: Exponential and Logarithmic Functions
Factoring Polynomials
Exponential Functions
Rational Expressions
Graphs of Exponential Functions
Putting It Together: Polynomial and Rational Expressions
Logarithmic Functions

Module 3: The Rectangular Coordinate System and Equations of Lines

Graphs of Logarithmic Functions
Why It Matters: The Rectangular Coordinate System and Equations of Lines
Putting It Together: Exponential and Logarithmic Functions
Points and Lines in the Plane

Module 12: Exponential and Logarithmic Equations and Models

Equations of Lines
Why It Matters: Exponential and Logarithmic Equations and Models
Putting It Together: The Rectangular Coordinate System and Equations of Lines
Logarithmic Properties

Module 4: Equations and Inequalities

Exponential and Logarithmic Equations
Why It Matters: Equations and Inequalities
Exponential and Logarithmic Models
Equation-Solving Techniques
Putting It Together: Exponential and Logarithmic Equations and Models
Models and Applications

Module 13: Systems of Equations and Inequalities

Quadratic Equations
Why It Matters: Systems of Equations and Inequalities
Linear Inequalities and Absolute Value Inequalities
Systems of Linear Equations: Two Variables
Putting It Together: Equations and Inequalities
Systems of Nonlinear Equations and Inequalities

Module 5: Function Basics

Systems of Linear Equations: Three Variables
Why It Matters: Function Basics
Partial Fractions: an Application of Systems
Characteristics of Functions and Their Graphs
Putting It Together: Systems of Equations and Inequalities
Domain and Range of Functions

Module 14: Solve Systems With Matrices

Rates of Change and Behavior of Graphs
Why It Matters: Solve Systems with Matrices
Putting It Together: Function Basics
Matrices and Matrix Operations

Module 6: Algebraic Operations on Functions

Gaussian Elimination
Why It Matters: Algebraic Operations On Functions
Solve Systems with Inverses
Compositions of Functions
Putting It Together: Solve Systems with Matrices
Transformations of Functions

Module 15: Conic Sections

Putting It Together: Algebraic Operations on Functions
Why It Matters: Conic Sections
Inverse Functions
The Ellipse

Module 7: Linear and Absolute Value Functions

The Hyperbola
Why It Matters: Linear and Absolute Value Functions
The Parabola
Linear Functions
Putting It Together: Conic Sections
Graphs of Linear Functions

Module 16: Sequences and Series

Modeling With Linear Functions
Why It Matters: Sequences and Series
Putting It Together: Linear and Absolute Value Functions
Sequences and Their Notations

Module 8: Quadratic Functions

Arithmetic Sequences
Why It Matters: Quadratic Functions
Geometric Sequences
Complex Numbers
Series and Their Notations
Graphs of Quadratic Functions
Putting It Together: Sequences and Series
Analysis of Quadratic Functions

Module 17: Probability and Counting Principles

Putting It Together: Quadratic Functions
Why It Matters: Probability and Counting Principles

Module 9: Power and Polynomial Functions

Counting Principles
Why It Matters: Power and Polynomial Functions
Probability
Characteristics of Power and Polynomial Functions
Putting It Together: Probability and Counting Principles
Graphs of Polynomial Functions