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Modules

(Precalc) Chapter 1 - Functions and Their Graphs

Lessons

• Precalculus – Section 1.1 – Lines in the Plane
• Precalculus – Section 1.2 – Functions
• Precalculus – Section 1.3 – Graphs of Functions
• Precalculus – Section 1.4 – Shifting, Reflecting, and Stretching Graphs
• Precalculus – Section 1.5 – Combinations of Functions
• Precalculus – Section 1.6 – Inverse Functions
• Precalculus – Section 1.7 – Linear Models and Scatter Plots

Chapter 2 - Polynomial and Rational Functions

Lessons

• Precalculus – Section 2.1 – Quadratic Functions
• Precalculus – Section 2.2 – Polynomial Functions of Higher Degree
• Precalculus – Section 2.3 – Real Zeros of Polynomial Functions
• Precalculus – Section 2.4 – Complex Numbers
• Precalculus – Section 2.5 – The Fundamental Theorem of Algebra
• Precalculus – Section 2.6 – Rational Functions and Asymptotes
• Precalculus – Section 2.7 – Graphs of Rational Functions
• Precalculus – Section 2.8 – Quadratic Models

Chapter 3 - Exponential and Logarithmic Functions

Lessons

• Precalculus – Section 3.1 – Exponential Functions and Their Graphs
• Precalculus – Section 3.2 – Logarithmic Functions and Their Graphs
• Precalculus – Section 3.3 – Properties of Logarithms
• Precalculus – Section 3.4 – Solving Exponential and Logarithmic Equations
• Precalculus – Section 3.5 – Exponential and Logarithmic Models
• Precalculus – Section 3.6 – Nonlinear Models

Chapter 4 - Trigonometric Functions

Lessons

• Precalculus – Section 4.1 – Radian and Degree Measure
• Precalculus – Section 4.2 – Trigonometric Functions: The Unit Circle
• Precalculus – Section 4.3 – Right Triangle Trigonometry
• Precalculus – Section 4.4 – Trigonometric Functions of Any Angle
• Precalculus – Section 4.5 – Graphs of Sine and Cosine Functions
• Precalculus – Section 4.6 – Graphs of Other Trigonometric Functions
• Precalculus – Section 4.7 – Inverse Trigonometric Functions
• Precalculus – Section 4.8 – Applications and Models

Chapter 5 - Analytic Trigonometry

Lessons

• Precalculus – Section 5.1 – Using Fundamental Identities
• Precalculus – Section 5.2 – Verifying Trigonometric Identities
• Precalculus – Section 5.3 – Solving Trigonometric Equations
• Precalculus – Section 5.4 – Sum and Difference Formulas
• Precalculus – Section 5.5 – Multiple-Angle and Product-to-Sum Formulas

Chapter 6 - Additional Topics in Trigonometry

Lessons

• Precalculus – Section 6.1 – Law of Sines
• Precalculus – Section 6.2 – Law of Cosines
• Precalculus – Section 6.3 – Vectors in the Plane
• Precalculus – Section 6.4 – Vectors and Dot Products
• Precalculus – Section 6.5 – Trigonometric Form of a Complex Number

Chapter 7 - Linear Systems and Matrices

Lessons

• Precalculus – Section 7.1 – Solving Systems of Equations
• Precalculus – Section 7.2 – Systems of Linear Equations in Two Variables
• Precalculus – Section 7.3 – Multivariable Linear Systems
• Precalculus – Section 7.4 – Matrices and Systems of Equations
• Precalculus – Section 7.5 – Operations with Matrices
• Precalculus – Section 7.6 – The Inverse of a Square Matrix
• Precalculus – Section 7.7 – The Determinant of a Square Matrix
• Precalculus – Section 7.8 – Applications of Matrices and Determinants

Chapter 8 - Sequences, Series, and Probability

Lessons

• Precalculus – Section 8.1 – Sequences and Series
• Precalculus – Section 8.2 – Arithmetic Sequences and Partial Sums
• Precalculus – Section 8.3 – Geometric Sequences and Series
• Precalculus – Section 8.4 – Mathematical Induction
• Precalculus – Section 8.5 – The Binomial Theorem
• Precalculus – Section 8.6 – Counting Principles
• Precalculus – Section 8.7 – Probability

Chapter 9 - Topics in Analytic Geometry

Lessons

• Precalculus – Section 9.1 – Circles and Parabolas
• Precalculus – Section 9.2 – Ellipses
• Precalculus – Section 9.3 – Hyperbolas
• Precalculus – Section 9.4 – Rotation and Systems of Quadratic Equations
• Precalculus – Section 9.5 – Parametric Equations
• Precalculus – Section 9.6 – Polar Coordinates
• Precalculus – Section 9.7 – Graphs of Polar Equations
• Precalculus – Section 9.8 – Polar Equations of Conics

Chapter 10 - Analytic Geometry in Three Dimensions

Lessons

• Precalculus – Section 10.1 – The Three-Dimensional Coordinate System
• Precalculus – Section 10.2 – Vectors in Space
• Precalculus – Section 10.3 – The Cross Product of Two Vectors
• Precalculus – Section 10.4 – Lines and Planes in Space

Chapter 11 - Limits and an Introduction to Calculus

Lessons

• Precalculus – Section 11.1 – Introduction to Limits
• Precalculus – Section 11.2 – Techniques for Evaluating Limits
• Precalculus – Section 11.3 – The Tangent Line Problem
• Precalculus – Section 11.4 – Limits at Infinity and Limits of Sequences
• Precalculus – Section 11.5 – The Area Problem