Course Modules

Chapter 1

Chapter 1
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    1 Introduction to Functions 1 Introduction to Functions
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    1.1 Functions and Function Notation 1.1 Functions and Function Notation
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    1.2 Domain and Range 1.2 Domain and Range
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    1.3 Rates of Change and Behavior of Graphs 1.3 Rates of Change and Behavior of Graphs
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    1.4 Composition of Functions 1.4 Composition of Functions
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    1.5 Transformation of Functions 1.5 Transformation of Functions
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    1.6 Absolute Value Functions 1.6 Absolute Value Functions
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    1.7 Inverse Functions 1.7 Inverse Functions
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Chapter 2

Chapter 2
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    2 Introduction to Linear Functions 2 Introduction to Linear Functions
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    2.1 Linear Functions 2.1 Linear Functions
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    2.2 Graphs of Linear Functions 2.2 Graphs of Linear Functions
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    2.3 Modeling with Linear Functions 2.3 Modeling with Linear Functions
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    2.4 Fitting Linear Models to Data 2.4 Fitting Linear Models to Data
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Chapter 3

Chapter 3
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    3 Introduction to Polynomial and Rational Functions 3 Introduction to Polynomial and Rational Functions
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    3.1 Complex Numbers 3.1 Complex Numbers
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    3.2 Quadratic Functions 3.2 Quadratic Functions
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    3.3 Power Functions and Polynomial Functions 3.3 Power Functions and Polynomial Functions
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    3.4 Graphs of Polynomial Functions 3.4 Graphs of Polynomial Functions
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    3.5 Dividing Polynomials 3.5 Dividing Polynomials
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    3.6 Zeros of Polynomial Functions 3.6 Zeros of Polynomial Functions
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    3.7 Rational Functions 3.7 Rational Functions
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    3.8 Inverses and Radical Functions 3.8 Inverses and Radical Functions
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    3.9 Modeling Using Variation 3.9 Modeling Using Variation
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Chapter 4

Chapter 4
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    4 Introduction to Exponential and Logarithmic Functions 4 Introduction to Exponential and Logarithmic Functions
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    4.1 Exponential Functions 4.1 Exponential Functions
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    4.2 Graphs of Exponential Functions 4.2 Graphs of Exponential Functions
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    4.3 Logarithmic Functions 4.3 Logarithmic Functions
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    4.4 Graphs of Logarithmic Functions 4.4 Graphs of Logarithmic Functions
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    4.5 Logarithmic Properties 4.5 Logarithmic Properties
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    4.6 Exponential and Logarithmic Equations 4.6 Exponential and Logarithmic Equations
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    4.7 Exponential and Logarithmic Models 4.7 Exponential and Logarithmic Models
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    4.8 Fitting Exponential Models to Data 4.8 Fitting Exponential Models to Data
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Chapter 5

Chapter 5
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    5 Introduction to Trigonometric Functions 5 Introduction to Trigonometric Functions
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    5.1 Angles 5.1 Angles
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    5.2 Unit Circle: Sine and Cosine Functions 5.2 Unit Circle: Sine and Cosine Functions
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    5.3 The Other Trigonometric Functions 5.3 The Other Trigonometric Functions
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    5.4 Right Triangle Trigonometry 5.4 Right Triangle Trigonometry
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Chapter 6

Chapter 6
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    6 Introduction to Periodic Functions 6 Introduction to Periodic Functions
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    6.1 Graphs of the Sine and Cosine Functions 6.1 Graphs of the Sine and Cosine Functions
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    6.2 Graphs of the Other Trigonometric Functions 6.2 Graphs of the Other Trigonometric Functions
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    6.3 Inverse Trigonometric Functions 6.3 Inverse Trigonometric Functions
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Chapter 7

Chapter 7
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    7 Introduction to Trigonometric Identities and Equations 7 Introduction to Trigonometric Identities and Equations
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    7.1 Solving Trigonometric Equations with Identities 7.1 Solving Trigonometric Equations with Identities
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    7.2 Sum and Difference Identities 7.2 Sum and Difference Identities
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    7.3 Double-Angle, Half-Angle, and Reduction Formulas 7.3 Double-Angle, Half-Angle, and Reduction Formulas
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    7.4 Sum-to-Product and Product-to-Sum Formulas 7.4 Sum-to-Product and Product-to-Sum Formulas
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    7.5 Solving Trigonometric Equations 7.5 Solving Trigonometric Equations
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    7.6 Modeling with Trigonometric Equations 7.6 Modeling with Trigonometric Equations
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Chapter 8

Chapter 8
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    8 Introduction to Further Applications of Trigonometry 8 Introduction to Further Applications of Trigonometry
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    8.1 Non-right Triangles: Law of Sines 8.1 Non-right Triangles: Law of Sines
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    8.2 Non-right Triangles: Law of Cosines 8.2 Non-right Triangles: Law of Cosines
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    8.3 Polar Coordinates 8.3 Polar Coordinates
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    8.4 Polar Coordinates: Graphs 8.4 Polar Coordinates: Graphs
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    8.5 Polar Form of Complex Numbers 8.5 Polar Form of Complex Numbers
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    8.6 Parametric Equations 8.6 Parametric Equations
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    8.7 Parametric Equations: Graphs 8.7 Parametric Equations: Graphs
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    8.8 Vectors 8.8 Vectors
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Chapter 9

Chapter 9
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    9 Introduction to Systems of Equations and Inequalities 9 Introduction to Systems of Equations and Inequalities
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    9.1 Systems of Linear Equations: Two Variables 9.1 Systems of Linear Equations: Two Variables
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    9.2 Systems of Linear Equations: Three Variables 9.2 Systems of Linear Equations: Three Variables
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    9.3 Systems of Nonlinear Equations and Inequalities: Two Variables 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables
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    9.4 Partial Fractions 9.4 Partial Fractions
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    9.5 Matrices and Matrix Operations 9.5 Matrices and Matrix Operations
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    9.6 Solving Systems with Gaussian Elimination 9.6 Solving Systems with Gaussian Elimination
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    9.7 Solving Systems with Inverses 9.7 Solving Systems with Inverses
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    9.8 Solving Systems with Cramer's Rule 9.8 Solving Systems with Cramer's Rule
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Chapter 10

Chapter 10
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    10 Introduction to Analytic Geometry 10 Introduction to Analytic Geometry
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    10.1 The Ellipse 10.1 The Ellipse
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    10.2 The Hyperbola 10.2 The Hyperbola
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    10.3 The Parabola 10.3 The Parabola
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    10.4 Rotation of Axes 10.4 Rotation of Axes
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    10.5 Conic Sections in Polar Coordinates 10.5 Conic Sections in Polar Coordinates
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Chapter 11

Chapter 11
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    11 Introduction to Sequences, Probability and Counting Theory 11 Introduction to Sequences, Probability and Counting Theory
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    11.1 Sequences and Their Notations 11.1 Sequences and Their Notations
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    11.2 Arithmetic Sequences 11.2 Arithmetic Sequences
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    11.3 Geometric Sequences 11.3 Geometric Sequences
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    11.4 Series and Their Notations 11.4 Series and Their Notations
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    11.5 Counting Principles 11.5 Counting Principles
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    11.6 Binomial Theorem 11.6 Binomial Theorem
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    11.7 Probability 11.7 Probability
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Chapter 12

Chapter 12
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    12 Introduction to Calculus 12 Introduction to Calculus
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    12.1 Finding Limits: Numerical and Graphical Approaches 12.1 Finding Limits: Numerical and Graphical Approaches
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    12.2 Finding Limits: Properties of Limits 12.2 Finding Limits: Properties of Limits
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    12.3 Continuity 12.3 Continuity
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    12.4 Derivatives 12.4 Derivatives
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Additional Readings

Additional Readings
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    Basic Functions and Identities Basic Functions and Identities
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minimum score must view must submit must contribute