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Chapter 0. Chapter R: Basic Concepts of Algebra

Animation

Laws of Exponents

Reading Scientific Numbers, Activity 2

Writing numbers scientifically

Writing numbers scientifically

Adding polynomials

Finding the degree of a polynomial

Multiply Polynomials

The FOIL method

Factoring a difference of squares

Factoring a trinomial

Factoring a trinomial

Factoring a Trinomial with a Common Factor

Factoring a Trinomial with a Common Factor

Factoring by grouping

Factoring out a common factor

Factoring trinomial squares

Multiplying rational expressions

Simplifying a Complex Fraction

Subtracting rational expressions

Applying the Rules for Rational Exponents

Multiplying radical expressions

Simplifying a Radical Quotient

Solving Right Triangles

Understand the Process of Simplifying Radical Expressions

Solving linear equations

The principle of zero products

Multimedia Textbook

R.1: The Real-Number System exercise set

R.2: Integer Exponents, Scientific Notation, and Order of Operations exercise set

R.3: Addition, Subtraction, and Multiplication of Polynomials exercise set

R.4: Factoring exercise set

R.5: Rational Expressions exercise set

R.6: Radical Notation and Rational Exponents exercise set

R.7: The Basics of Equation Solving exercise set

Section Video Lectures

R.1 Video: The Real-Number System

R.2 Video: Integer Exponents, Scientific Notation, and Order of Operations

R.3 Video: Addition, Subtraction, and Multiplication of Polynomials

R.4 Video: Factoring

R.5 Video: Rational Expressions

R.6 Video: Radical Notation and Rational Exponents

R.7 Video: The Basics of Equation Solving

PowerPoint

Chapter R Lecture

Chapter R Summary and Review
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Review Exercises
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Chapter R Test
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Chapter 1. Graphs, Functions, and Models

Animation

Determine the Distance Between Two Points

Equations of circles

Finding intercepts

Plotting Ordered Pairs

Using Function Notation

Graphing Linear Functions

Linear Functions

Finding the slope and y-intercept from the equation

Point-Slope Form

Regression lines

Slope-intercept equation of a line

Exploring Increasing, Descreasing, & Constant Functions

Graphs of basic functions

Evaluating compositions

PowerPoint

Chapter One Lecture

Multimedia Textbook

1.1: Introduction to Graphing exercise set

1.2: Functions and Graphs exercise set

1.3: Linear Functions, Slope, and Applications exercise set

1.4: Equations of Lines and Modeling exercise set

1.5: More on Functions exercise set

1.6: The Algebra of Functions exercise set

1.7: Symmetry and Transformations exercise set

Section Video Lectures

1.1 Video: Introduction to Graphing

1.2 Video: Functions and Graphs

1.3 Video: Linear Functions, Slope, and Application

1.4 Video: Equations of Lines and Modeling

1.5 Video: More on Functions

1.6 Video: The Algebra of Functions

1.7 Video: Symmetry and Transformations

Chapter 1 Summary and Review
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Review Exercises
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Chapter 1 Test
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Chapter 2. Functions, Equations, and Inequalities

Animation

Zeroes of Linear Functions

Formulas

Solving for a specified variable

Solving Two-Step Equations

The addition principle

Multiplying complex numbers

Subtracting complex numbers

Solving a quadratic equation with complex solutions

Solving equations that are quadratic in form

Solving Quadratic Equations by Completing the Square

Solving using the quadratic formula

Graphing quadratic functions

Graphing quadratic functions

Solving a Problem Involving a Rectangular Region

Equations involving absolute value

Solving radical equations

Solving rational equations

Using the squaring property when one side has two terms

Compound inequalites

Solving absolute value inequalites

Solving inequalities

Solving linear inequalities

Multimedia Textbook

2.1: Linear Equations, Functions, and Models exercise set

2.2: The Complex Numbers exercise set

2.3: Quadratic Equations, Functions, and Models exercise set

2.4: Analyzing Graphs of Quadratic Equations exercise set

2.5: More Equation Solving exercise set

2.6: Solving Linear Inequalities exercise set

Section Video Lectures

2.1 Video: Linear Equations, Functions, and Models

2.2 Video: The Complex Numbers

2.3 Video: Quadratic Equations, Functions, and Models

2.4 Video: Analyzing Graphs of Quadratic Equations

2.5 Video: More Equation Solving

2.6 Video: Solving Linear Inequalities

PowerPoint

Chapter Two Lecture

Chapter 2 Summary and Review
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Review Exercises
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Chapter 2 Test
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Chapter 3. Polynomial and Rational Functions

Animation

Exploring Zeros of Polynomial Functions

Synthetic Division

Finding all zeros of a polynomial function

Graphing Rational Functions and their Asymptotes

Solving Polynomial Inequalities

Solving nonlinear inequalities

Section Video Lectures

3.1 Video: Polynomial Functions and Modeling

3.2 Video: Graphing Polynomial Functions

3.3 Video: Polynomial Division; The Remainder and Factor Theorems

3.4 Video: Theorems about Zeros of Polynomial Functions

3.5 Video: Rational Functions

3.6 Video: Polynomial and Rational Inequalities

3.7 Video: Variation and Applications

Multimedia Textbook

3.1: Polynomial Functions and Modeling exercise set

3.2: Graphing Polynomial Functions exercise set

3.3: Polynomial Division; The Remainder and Factor Theorems exercise set

3.4: Theorems about Zeros of Polynomial Functions exercise set

3.5: Rational Functions exercise set

3.6: Polynomial and Rational Inequalities exercise set

3.7: Variation and Applications exercise set

PowerPoint

Chapter Three Lecture

Chapter 3 Summary and Review
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Review Exercises
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Chapter 3 Test
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Chapter 4. Exponential and Logarithmic Functions

Animation

Finding the equation of an inverse

Identifying one to one functions

Graphing exponential functions

Graphing the natural exponential function

Changing logarithmic bases

Converting between exponential and logarithmic form

Graphing logarithmic functions

Using the Power Rule

Exponential and Logarithmic Equations

Logarithmic functions

Solving exponential equations

PowerPoint

Chapter Four Lecture

Multimedia Textbook

4.1: Inverse Functions exercise set

4.2: Exponential Functions and Graphs exercise set

4.3: Logarithmic Functions and Graphs exercise set

4.4: Properties of Logarithmic Functions exercise set

4.5: Solving Exponential and Logarithmic Equations exercise set

4.6: Applications and Models; Growth and Decay, and Compound Interest exercise set

Section Video Lectures

4.1 Video: Inverse Functions

4.2 Video: Exponential Functions and Graphs

4.3 Video: Logarithmic Functions and Graphs

4.4 Video: Properties of Logarithmic Functions

4.5 Video: Solving Exponential and Logarithmic Equations

4.6 Video: Applications and Models; Growth and Decay, and Compound Interest

Chapter 4 Summary and Review
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Review Exercises
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Chapter 4 Test
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Chapter 5. Systems of Equations and Matrices

Animation

Applications of systems of equations

Solve a system by elimination

Solve a system by substitution

Solving systems graphically

Traveling boat

Solving a System in Three Variables

Matrix Solution of Linear Systems

Solving systems of linear equations using matrices

Finding the Product of Matrices

Using Inverse Matrices to Solve Systems of Equations

Cramer's Rule

Graphing two-variable inequalities

Graphing two-variable inequalities

Linear programming

Solving systems of linear inequalites

Solving systems of linear inequalities

Partial Fractions

PowerPoint

Chapter Five Lecture

Multimedia Textbook

5.1: Systems of Equations in Two Variables exercise set

5.2: Systems of Equations in Three Variables exercise set

5.3: Matrices and Systems of Equations exercise set

5.4: Matrix Operations exercise set

5.5: Inverses of Matrices exercise set

5.6: Determinants and Cramer's Rule exercise set

5.7: Systemsof Inequalities and Linear Programming exercise set

5.8: Partial Fractions exercise set

Section Video Lectures

5.1 Video: Systems of Equations in Two Variables

5.2 Video: Systems of Equations in Three Variables

5.3 Video: Matrices and Systems of Equations

5.4 Video: Matrix Operations

5.5 Video: Inverses of Matrices

5.6 Video: Determinants and Cramer's Rule

5.7 Video: Systemsof Inequalities and Linear Programming

5.8 Video: Partial Fractions

Chapter 5 Summary and Review
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Review Exercises
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Chapter 5 Test
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Chapter 6. Conic Sections

Animation

Equations of ellipses

Graphing Ellipses

Graphing Hyperbolas

Graphing hyperbolas

Solving non-linear systems of equations

Solving nonlinear systems of equations

Solving nonlinear systems of equations

PowerPoint

Chapter Six Lecture

Multimedia Textbook

6.1: The Parabola exercise set

6.2: The Circle and the Ellipse exercise set

6.3: The Hyperbola exercise set

6.4: Nonlinear Systems of Equations and Inequalities exercise set

Section Video Lectures

6.1 Video: The Parabola

6.2 Video: The Circle and the Ellipse

6.3 Video: The Hyperbola

6.4 Video: Nonlinear Systems of Equations and Inequalities

Chapter 6 Summary and Review
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Review Exercises
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Chapter 6 Test
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Chapter 7. Sequences, Series, and Combinatorics

Animation

Finding terms in a sequence

Geometric Sequences

Geometric sequences and series

Mathematical Induction

Use of Multiplication and Exponentiation to Solve a Word Problem

Applying the Binomial Theorem

Section Video Lectures

7.1 Video: Sequences and Series

7.2 Video: Arithmetic Sequences and Series

7.3 Video: Geometric Sequences and Series

7.4 Video: Mathematical Induction

7.5 Video: Combinatorics: Permutations

7.6 Video: Combinatorics: Combinations

7.7 Video: The Binomial Theorem

7.8 Video: Probability

Multimedia Textbook

7.1: Sequences and Series exercise set

7.2: Arithmetic Sequences and Series exercise set

7.3: Geometric Sequences and Series exercise set

7.4: Mathematical Induction exercise set

7.5: Combinatorics: Permutations exercise set

7.6: Combinatorics: Combinations exercise set

7.7: The Binomial Theorem exercise set

7.8: Probability exercise set

PowerPoint

Chapter Seven Lecture

Chapter 7 Summary and Review
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Review Exercises
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Chapter 7 Test
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Appendix A: Geometry

Geometry

Appendix A: Geometry Exercise Set

Geometry Exercise Set

Appendix B: Parametric Equations

Parametric Equations

Appendix B: Parametric Equations Exercise Set

Parametric Equations exercise set.