Learning Through Life

Chapter 1

Prerequisites

Week 1:

Introduction to Prerequisites

1.1: Real Numbers: Algebra Essentials

Week 2:

1.2: Exponents and Scientific Notation

1.3: Radicals and Rational Exponents

Week 3:

1.4: Polynomials

Week 4:

1.5: Factoring Polynomials

Week 5:

1.6: Rational Expressions

Week 6:

Review

Week 7:

Review and Test

Chapter 2

Equations and Inequalities

Week 1:

Introduction to Equations and Inequalities

2.1: The Rectangular Coordinate Systems and Graphs

Week 2:

2.2: Linear Equations in One Variable

2.3: Models and Applications

Week 3:

2.4: Complex Numbers

2.5: Quadratic Equations

Week 4:

2.6: Other Types of Equations

Week 5:

2.7: Linear Inequalities and Absolute Value Inequalities

Week 6:

Review

Week 7:

Review and Test

Chapter 3

Functions

Week 1:

Introduction to Functions

3.1: Functions and Function Notations

Week 2:

3.2: Domain and Range

3.3: Rates of Change and Behavior of Graphs

Week 3:

3.4: Composition of Functions

3.5: Transformation of Functions

Week 4:

3.6: Absolute Value Functions

Week 5:

3.7: Inverse Functions

Week 6:

Review

Week 7:

Review and Test

Chapter 4

Linear Functions

Week 1:

Introduction to Linear Functions

Week 2:

4.1: Linear Functions

Week 3:

4.2: Modeling with Linear Functions

Week 4:

4.3: Fitting Linear Models to Date

Week 5:

Review

Week 6:

Review

Week 7:

Review and Test

Chapter 5

Polynomial and Rational Functions

Week 1:

Introduction to Polynomial and Rational Functions

5.1: Quadratic Functions

Week 2:

5.2: Power Functions and Polynomial Functions

5.3: Graphs of Polynomial Functions

Week 3:

5.4: Dividing Polynomials

5.5: Zeros of Polynomial Functions

Week 4:

5.6: Rational Functions

5.7: Inverses and Radical Functions

Week 5:

5.8: Modeling Using Variation

Week 6:

Review

Week 7:

Review and Test

Chapter 6

Exponential and Logarithmic Functions

Week 1:

Introduction to Exponential and Logarithmic Functions

6.1: Exponential Functions

Week 2:

6.2: Graphs of Exponential Functions

6.3: Logarithmic Functions

Week 3:

6.4: Graphs of Logarithmic Functions

6.5: Logarithmic Properties

Week 4:

6.6: Exponential and Logarithmic Equations

6.7: Exponential and Logarithmic Models

Week 5:

6.8: Fitting Exponential Models to Data

Week 6:

Review

Week 7:

Review and Test

Chapter 7

The Unit Circle: Sine and Cosine Functions

Week 1:

Introduction to the Unit Circle: Sine and Cosine Functions

Week 2:

7.1: Angles

Week 3:

7.2: Right Triangle Trigonometry

Week 4:

7.3: Unit Circle

Week 5:

7.4: The Other Trigonometric Functions

Week 6:

Review

Week 7:

Review and Test

Chapter 8

Periodic Functions

Week 1:

Introduction to Periodic Functions

Week 2:

8.1: Graphs of the Sine and Cosine Functions

Week 3:

8.2: Graphs of the Other Trigonometric Functions

Week 4:

8.3: Inverse Trigonometric Functions

Week 5:

Review

Week 6:

Review

Week 7:

Review and Test

Chapter 9

Trigonometric Identities and Equations

Week 1:

Introduction to Trigonometric Identities and Equations

9.1: Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

Week 2:

9.2: Sum and Difference Identities

Week 3:

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

Week 4:

9.4: Sum-to-Product and Product-to-Sum Formulas

Week 5:

9.5: Solving Trigonometric Equations

Week 6:

Review

Week 7:

Review and Test

Chapter 10

Further Applications of Trigonometry

Week 1:

Introduction to Further Applications of Trigonometry

10.1: Non-right Triangles: Law of Sines

Week 2:

10.2: Non-right Triangles: Law of Cosines

10.3: Polar Coordinates

Week 3:

10.4: Polar Coordinates: Graphs

10.5: Polar Form of Complex Numbers

Week 4:

10.6: Parametric Equations

10.7: Parametric Equations: Graphs

Week 5:

10.8: Vectors

Week 6:

Review

Week 7:

Review and Test

Chapter 11

Systems of Equations and Inequalities

Week 1:

Introduction to Systems of Equations and Inequalities

11.1: Systems of Linear Equations: Two Variables

Week 2:

11.2: Systems of Linear Equations: Three Variables

11.3: Systems of Nonlinear Equations and Inequalities: Two Variables

Week 3:

11.4: Partial Fractions

11.5: Matrices and Matrix Operations

Week 4:

11.6: Solving Systems with Gaussian Elimination

11.7: Solving Systems with Inverses

Week 5:

11.8: Solving Systems with Cramer’s Rule

Week 6:

Review

Week 7:

Review and Test

Chapter 12

Analytic Geometry

Week 1:

Introduction to Analytic Geometry

12.1: The Ellipse

Week 2:

12.2: The Hyperbola

Week 3:

12.3: The Parabola

Week 4:

12.4: Rotation of Axes

Week 5:

12.5: Cronic Sections in Polar Coordinates

Week 6:

Review

Week 7:

Review and Test

Chapter 13

Sequences, Probability, and Counting Theory

Week 1:

Introduction to Sequences, Probability, and Counting Theory

13.1: Sequences and Their Notations

Week 2:

13.2: Arithmetic Sequences

13.3: Geometric Sequences

Week 3:

13.4: Series and Their Notations

13.5: Counting Principles

Week 4:

13.6: Binomial Theorem

Week 5:

13.7: Probability

Week 6:

Review

Week 7:

Review and Test

Chapter Review

Review