Course Modules

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

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1.2 Exponents and Scientific Notation 1.2 Exponents and Scientific Notation 4

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1.3 Radicals and Rational Exponents 1.3 Radicals and Rational Exponents 5

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

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

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2.3 Models and Applications 2.3 Models and Applications 5

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2.4 Complex Numbers 2.4 Complex Numbers 6

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2.5 Quadratic Equations 2.5 Quadratic Equations 7

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2.6 Other Types of Equations 2.6 Other Types of Equations 8

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2.7 Linear Inequalities and Absolute Value Inequalities 2.7 Linear Inequalities and Absolute Value Inequalities 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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3.1 Functions and Function Notation 3.1 Functions and Function Notation 3

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3.2 Domain and Range 3.2 Domain and Range 4

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

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3.4 Composition of Functions 3.4 Composition of Functions 6

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3.5 Transformation of Functions 3.5 Transformation of Functions 7

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3.6 Absolute Value Functions 3.6 Absolute Value Functions 8

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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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External Url

4.1 Linear Functions 4.1 Linear Functions 3

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External Url

4.2 Modeling with Linear Functions 4.2 Modeling with Linear Functions 4

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External Url

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

Context Module Sub Header

Chapter Readings 1

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External Url

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

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External Url

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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External Url

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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External Url

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

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External Url

6.1 Exponential Functions 6.1 Exponential Functions 3

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External Url

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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External Url

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

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External Url

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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External Url

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

Context Module Sub Header

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 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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