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学習ガイド

College Algebra

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Module 1: Algebra Essentials

Methods for Finding Zeros of Polynomials
Why It Matters: Algebra Essentials
Putting It Together: Power and Polynomial Functions
Real Numbers

Module 10: Rational and Radical Functions

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

Module 2: Polynomial and Rational Expressions

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

Module 11: Exponential and Logarithmic Functions

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

Module 3: The Rectangular Coordinate System and Equations of Lines

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

Module 12: Exponential and Logarithmic Equations and Models

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

Module 4: Equations and Inequalities

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

Module 13: Systems of Equations and Inequalities

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

Module 5: Function Basics

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

Module 14: Solve Systems With Matrices

Putting It Together: Function Basics
Why It Matters: Solve Systems with Matrices

Module 6: Algebraic Operations on Functions

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

Module 15: Conic Sections

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

Module 7: Linear and Absolute Value Functions

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

Module 16: Sequences and Series

Putting It Together: Linear and Absolute Value Functions
Why It Matters: Sequences and Series

Module 8: Quadratic Functions

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

Module 17: Probability and Counting Principles

Module 9: Power and Polynomial Functions

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