Course Modules: Your Guided Course Template

This is a Sample Module.

This is a Sample Module. This is a Sample Module.

Page

Sample Page Sample Page 2

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Discussion Topic

Sample Discussion Sample Discussion 3

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Landing Page

Landing Page Landing Page

Page

Welcome to Algebra & Trigonometry Welcome to Algebra & Trigonometry 1

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Page

Welcome to Algebra & Trigonometry (Alternative Front Page) Welcome to Algebra & Trigonometry (Alternative Front Page) 2

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Chapter 1

Chapter 1 Chapter 1

Context Module Sub Header

Chapter Readings 1

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External Url

1 Introduction to Prerequisites 1 Introduction to Prerequisites 2

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External Url

1.1 Real Numbers: Algebra Essentials 1.1 Real Numbers: Algebra Essentials 3

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External Url

1.2 Exponents and Scientific Notation 1.2 Exponents and Scientific Notation 4

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External Url

1.3 Radicals and Rational Exponents 1.3 Radicals and Rational Exponents 5

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External Url

1.4 Polynomials 1.4 Polynomials 6

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External Url

1.5 Factoring Polynomials 1.5 Factoring Polynomials 7

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External Url

1.6 Rational Expressions 1.6 Rational Expressions 8

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Chapter 1

Chapter 1 Chapter 1

Context Module Sub Header

Chapter Readings 1

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External Url

1 Introduction to Prerequisites 1 Introduction to Prerequisites 2

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External Url

1.1 Real Numbers: Algebra Essentials 1.1 Real Numbers: Algebra Essentials 3

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External Url

1.2 Exponents and Scientific Notation 1.2 Exponents and Scientific Notation 4

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External Url

1.3 Radicals and Rational Exponents 1.3 Radicals and Rational Exponents 5

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External Url

1.4 Polynomials 1.4 Polynomials 6

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External Url

1.5 Factoring Polynomials 1.5 Factoring Polynomials 7

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External Url

1.6 Rational Expressions 1.6 Rational Expressions 8

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Chapter 2

Chapter 2 Chapter 2

Context Module Sub Header

Chapter Readings 1

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External Url

2 Introduction to Equations and Inequalities 2 Introduction to Equations and Inequalities 2

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External Url

2.1 The Rectangular Coordinate Systems and Graphs 2.1 The Rectangular Coordinate Systems and Graphs 3

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External Url

2.2 Linear Equations in One Variable 2.2 Linear Equations in One Variable 4

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External Url

2.3 Models and Applications 2.3 Models and Applications 5

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External Url

2.4 Complex Numbers 2.4 Complex Numbers 6

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External Url

2.5 Quadratic Equations 2.5 Quadratic Equations 7

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External Url

2.6 Other Types of Equations 2.6 Other Types of Equations 8

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External Url

2.7 Linear Inequalities and Absolute Value Inequalities 2.7 Linear Inequalities and Absolute Value Inequalities 9

external_url 5928631 0

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Chapter 2

Chapter 2 Chapter 2

Context Module Sub Header

Chapter Readings 1

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External Url

2 Introduction to Equations and Inequalities 2 Introduction to Equations and Inequalities 2

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External Url

2.1 The Rectangular Coordinate Systems and Graphs 2.1 The Rectangular Coordinate Systems and Graphs 3

external_url 5929095 0

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External Url

2.2 Linear Equations in One Variable 2.2 Linear Equations in One Variable 4

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External Url

2.3 Models and Applications 2.3 Models and Applications 5

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External Url

2.4 Complex Numbers 2.4 Complex Numbers 6

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External Url

2.5 Quadratic Equations 2.5 Quadratic Equations 7

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External Url

2.6 Other Types of Equations 2.6 Other Types of Equations 8

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External Url

2.7 Linear Inequalities and Absolute Value Inequalities 2.7 Linear Inequalities and Absolute Value Inequalities 9

external_url 5929101 0

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Chapter 3

Chapter 3 Chapter 3

Context Module Sub Header

Chapter Readings 1

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External Url

3 Introduction to Functions 3 Introduction to Functions 2

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External Url

3.1 Functions and Function Notation 3.1 Functions and Function Notation 3

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External Url

3.2 Domain and Range 3.2 Domain and Range 4

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External Url

3.3 Rates of Change and Behavior of Graphs 3.3 Rates of Change and Behavior of Graphs 5

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External Url

3.4 Composition of Functions 3.4 Composition of Functions 6

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External Url

3.5 Transformation of Functions 3.5 Transformation of Functions 7

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External Url

3.6 Absolute Value Functions 3.6 Absolute Value Functions 8

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External Url

3.7 Inverse Functions 3.7 Inverse Functions 9

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Chapter 3

Chapter 3 Chapter 3

Context Module Sub Header

Chapter Readings 1

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External Url

3 Introduction to Functions 3 Introduction to Functions 2

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External Url

3.1 Functions and Function Notation 3.1 Functions and Function Notation 3

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External Url

3.2 Domain and Range 3.2 Domain and Range 4

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External Url

3.3 Rates of Change and Behavior of Graphs 3.3 Rates of Change and Behavior of Graphs 5

external_url 5929106 0

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External Url

3.4 Composition of Functions 3.4 Composition of Functions 6

external_url 5929107 0

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External Url

3.5 Transformation of Functions 3.5 Transformation of Functions 7

external_url 5929108 0

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External Url

3.6 Absolute Value Functions 3.6 Absolute Value Functions 8

external_url 5929109 0

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External Url

3.7 Inverse Functions 3.7 Inverse Functions 9

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Chapter 4

Chapter 4 Chapter 4

Context Module Sub Header

Chapter Readings 1

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External Url

4 Introduction to Linear Functions 4 Introduction to Linear Functions 2

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4.1 Linear Functions 4.1 Linear Functions 3

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4.2 Modeling with Linear Functions 4.2 Modeling with Linear Functions 4

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4.3 Fitting Linear Models to Data 4.3 Fitting Linear Models to Data 5

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Chapter 4

Chapter 4 Chapter 4

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Chapter Readings 1

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4 Introduction to Linear Functions 4 Introduction to Linear Functions 2

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4.1 Linear Functions 4.1 Linear Functions 3

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4.2 Modeling with Linear Functions 4.2 Modeling with Linear Functions 4

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4.3 Fitting Linear Models to Data 4.3 Fitting Linear Models to Data 5

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Chapter 5

Chapter 5 Chapter 5

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Chapter Readings 1

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5 Introduction to Polynomial and Rational Functions 5 Introduction to Polynomial and Rational Functions 2

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5.1 Quadratic Functions 5.1 Quadratic Functions 3

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5.2 Power Functions and Polynomial Functions 5.2 Power Functions and Polynomial Functions 4

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5.3 Graphs of Polynomial Functions 5.3 Graphs of Polynomial Functions 5

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5.4 Dividing Polynomials 5.4 Dividing Polynomials 6

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5.5 Zeros of Polynomial Functions 5.5 Zeros of Polynomial Functions 7

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5.6 Rational Functions 5.6 Rational Functions 8

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5.7 Inverses and Radical Functions 5.7 Inverses and Radical Functions 9

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5.8 Modeling Using Variation 5.8 Modeling Using Variation 10

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Chapter 5

Chapter 5 Chapter 5

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Chapter Readings 1

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5 Introduction to Polynomial and Rational Functions 5 Introduction to Polynomial and Rational Functions 2

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5.1 Quadratic Functions 5.1 Quadratic Functions 3

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5.2 Power Functions and Polynomial Functions 5.2 Power Functions and Polynomial Functions 4

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5.3 Graphs of Polynomial Functions 5.3 Graphs of Polynomial Functions 5

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5.4 Dividing Polynomials 5.4 Dividing Polynomials 6

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5.5 Zeros of Polynomial Functions 5.5 Zeros of Polynomial Functions 7

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5.6 Rational Functions 5.6 Rational Functions 8

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5.7 Inverses and Radical Functions 5.7 Inverses and Radical Functions 9

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5.8 Modeling Using Variation 5.8 Modeling Using Variation 10

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Chapter 6

Chapter 6 Chapter 6

Context Module Sub Header

Chapter Readings 1

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6 Introduction to Exponential and Logarithmic Functions 6 Introduction to Exponential and Logarithmic Functions 2

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6.1 Exponential Functions 6.1 Exponential Functions 3

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6.2 Graphs of Exponential Functions 6.2 Graphs of Exponential Functions 4

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6.3 Logarithmic Functions 6.3 Logarithmic Functions 5

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6.4 Graphs of Logarithmic Functions 6.4 Graphs of Logarithmic Functions 6

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6.5 Logarithmic Properties 6.5 Logarithmic Properties 7

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6.6 Exponential and Logarithmic Equations 6.6 Exponential and Logarithmic Equations 8

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6.7 Exponential and Logarithmic Models 6.7 Exponential and Logarithmic Models 9

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6.8 Fitting Exponential Models to Data 6.8 Fitting Exponential Models to Data 10

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Chapter 6

Chapter 6 Chapter 6

Context Module Sub Header

Chapter Readings 1

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6 Introduction to Exponential and Logarithmic Functions 6 Introduction to Exponential and Logarithmic Functions 2

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6.1 Exponential Functions 6.1 Exponential Functions 3

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6.2 Graphs of Exponential Functions 6.2 Graphs of Exponential Functions 4

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6.3 Logarithmic Functions 6.3 Logarithmic Functions 5

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6.4 Graphs of Logarithmic Functions 6.4 Graphs of Logarithmic Functions 6

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6.5 Logarithmic Properties 6.5 Logarithmic Properties 7

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6.6 Exponential and Logarithmic Equations 6.6 Exponential and Logarithmic Equations 8

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6.7 Exponential and Logarithmic Models 6.7 Exponential and Logarithmic Models 9

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6.8 Fitting Exponential Models to Data 6.8 Fitting Exponential Models to Data 10

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Chapter 7

Chapter 7 Chapter 7

Context Module Sub Header

Chapter Readings 1

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7 Introduction to The Unit Circle: Sine and Cosine Functions 7 Introduction to The Unit Circle: Sine and Cosine Functions 2

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7.1 Angles 7.1 Angles 3

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7.2 Right Triangle Trigonometry 7.2 Right Triangle Trigonometry 4

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7.3 Unit Circle 7.3 Unit Circle 5

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7.4 The Other Trigonometric Functions 7.4 The Other Trigonometric Functions 6

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Chapter 7

Chapter 7 Chapter 7

Context Module Sub Header

Chapter Readings 1

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7 Introduction to Systems of Equations and Inequalities 7 Introduction to Systems of Equations and Inequalities 2

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7.1 Systems of Linear Equations: Two Variables 7.1 Systems of Linear Equations: Two Variables 3

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7.2 Systems of Linear Equations: Three Variables 7.2 Systems of Linear Equations: Three Variables 4

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7.3 Systems of Nonlinear Equations and Inequalities: Two Variables 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables 5

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7.4 Partial Fractions 7.4 Partial Fractions 6

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7.5 Matrices and Matrix Operations 7.5 Matrices and Matrix Operations 7

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7.6 Solving Systems with Gaussian Elimination 7.6 Solving Systems with Gaussian Elimination 8

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7.7 Solving Systems with Inverses 7.7 Solving Systems with Inverses 9

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7.8 Solving Systems with Cramer's Rule 7.8 Solving Systems with Cramer's Rule 10

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Chapter 8

Chapter 8 Chapter 8

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Chapter Readings 1

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8 Introduction to Periodic Functions 8 Introduction to Periodic Functions 2

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8.1 Graphs of the Sine and Cosine Functions 8.1 Graphs of the Sine and Cosine Functions 3

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8.2 Graphs of the Other Trigonometric Functions 8.2 Graphs of the Other Trigonometric Functions 4

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8.3 Inverse Trigonometric Functions 8.3 Inverse Trigonometric Functions 5

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Chapter 8

Chapter 8 Chapter 8

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Chapter Readings 1

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8 Introduction to Analytic Geometry 8 Introduction to Analytic Geometry 2

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8.1 The Ellipse 8.1 The Ellipse 3

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8.2 The Hyperbola 8.2 The Hyperbola 4

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8.3 The Parabola 8.3 The Parabola 5

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8.4 Rotation of Axes 8.4 Rotation of Axes 6

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8.5 Conic Sections in Polar Coordinates 8.5 Conic Sections in Polar Coordinates 7

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Chapter 9

Chapter 9 Chapter 9

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Chapter Readings 1

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9 Introduction to Trigonometric Identities and Equations 9 Introduction to Trigonometric Identities and Equations 2

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9.1 Solving Trigonometric Equations with Identities 9.1 Solving Trigonometric Equations with Identities 3

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9.2 Sum and Difference Identities 9.2 Sum and Difference Identities 4

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9.3 Double-Angle, Half-Angle, and Reduction Formulas 9.3 Double-Angle, Half-Angle, and Reduction Formulas 5

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9.4 Sum-to-Product and Product-to-Sum Formulas 9.4 Sum-to-Product and Product-to-Sum Formulas 6

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9.5 Solving Trigonometric Equations 9.5 Solving Trigonometric Equations 7

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Chapter 9

Chapter 9 Chapter 9

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Chapter Readings 1

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9 Introduction to Sequences, Probability and Counting Theory 9 Introduction to Sequences, Probability and Counting Theory 2

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9.1 Sequences and Their Notations 9.1 Sequences and Their Notations 3

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9.2 Arithmetic Sequences 9.2 Arithmetic Sequences 4

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9.3 Geometric Sequences 9.3 Geometric Sequences 5

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9.4 Series and Their Notations 9.4 Series and Their Notations 6

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9.5 Counting Principles 9.5 Counting Principles 7

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9.6 Binomial Theorem 9.6 Binomial Theorem 8

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9.7 Probability 9.7 Probability 9

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Chapter 10

Chapter 10 Chapter 10

Context Module Sub Header

Chapter Readings 1

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10 Introduction to Further Applications of Trigonometry 10 Introduction to Further Applications of Trigonometry 2

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10.1 Non-right Triangles: Law of Sines 10.1 Non-right Triangles: Law of Sines 3

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10.2 Non-right Triangles: Law of Cosines 10.2 Non-right Triangles: Law of Cosines 4

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10.3 Polar Coordinates 10.3 Polar Coordinates 5

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10.4 Polar Coordinates: Graphs 10.4 Polar Coordinates: Graphs 6

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10.5 Polar Form of Complex Numbers 10.5 Polar Form of Complex Numbers 7

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10.6 Parametric Equations 10.6 Parametric Equations 8

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10.7 Parametric Equations: Graphs 10.7 Parametric Equations: Graphs 9

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10.8 Vectors 10.8 Vectors 10

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Chapter 11

Chapter 11 Chapter 11

Context Module Sub Header

Chapter Readings 1

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11 Introduction to Systems of Equations and Inequalities 11 Introduction to Systems of Equations and Inequalities 2

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11.1 Systems of Linear Equations: Two Variables 11.1 Systems of Linear Equations: Two Variables 3

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11.2 Systems of Linear Equations: Three Variables 11.2 Systems of Linear Equations: Three Variables 4

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11.3 Systems of Nonlinear Equations and Inequalities: Two Variables 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables 5

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11.4 Partial Fractions 11.4 Partial Fractions 6

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11.5 Matrices and Matrix Operations 11.5 Matrices and Matrix Operations 7

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11.6 Solving Systems with Gaussian Elimination 11.6 Solving Systems with Gaussian Elimination 8

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11.7 Solving Systems with Inverses 11.7 Solving Systems with Inverses 9

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11.8 Solving Systems with Cramer's Rule 11.8 Solving Systems with Cramer's Rule 10

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Chapter 12

Chapter 12 Chapter 12

Context Module Sub Header

Chapter Readings 1

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12 Introduction to Analytic Geometry 12 Introduction to Analytic Geometry 2

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12.1 The Ellipse 12.1 The Ellipse 3

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12.2 The Hyperbola 12.2 The Hyperbola 4

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12.3 The Parabola 12.3 The Parabola 5

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12.4 Rotation of Axes 12.4 Rotation of Axes 6

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12.5 Conic Sections in Polar Coordinates 12.5 Conic Sections in Polar Coordinates 7

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Chapter 13

Chapter 13 Chapter 13

Context Module Sub Header

Chapter Readings 1

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13 Introduction to Sequences, Probability and Counting Theory 13 Introduction to Sequences, Probability and Counting Theory 2

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13.1 Sequences and Their Notations 13.1 Sequences and Their Notations 3

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13.2 Arithmetic Sequences 13.2 Arithmetic Sequences 4

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13.3 Geometric Sequences 13.3 Geometric Sequences 5

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13.4 Series and Their Notations 13.4 Series and Their Notations 6

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13.5 Counting Principles 13.5 Counting Principles 7

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13.6 Binomial Theorem 13.6 Binomial Theorem 8

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13.7 Probability 13.7 Probability 9

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Proofs, Identities, and Toolkit Functions Proofs, Identities, and Toolkit Functions 10

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Course Modules

This is a Sample Module.

Landing Page

Chapter 1

Chapter Readings 1

Chapter 1

Chapter Readings 1

Chapter 2

Chapter Readings 1

Chapter 2

Chapter Readings 1

Chapter 3

Chapter Readings 1

Chapter 3

Chapter Readings 1

Chapter 4

Chapter Readings 1

Chapter 4

Chapter Readings 1

Chapter 5

Chapter Readings 1

Chapter 5

Chapter Readings 1

Chapter 6

Chapter Readings 1

Chapter 6

Chapter Readings 1

Chapter 7

Chapter Readings 1

Chapter 7

Chapter Readings 1

Chapter 8

Chapter Readings 1

Chapter 8

Chapter Readings 1

Chapter 9

Chapter Readings 1

Chapter 9

Chapter Readings 1

Chapter 10

Chapter Readings 1

Chapter 11

Chapter Readings 1

Chapter 12

Chapter Readings 1

Chapter 13

Chapter Readings 1