Learning Through Life

Chapter 1

Functions

Week 1:

Introduction to Functions

1.1: Functions and Function Notation

Week 2:

1.2: Domain and Rage

1.3: Rates of Change and Behavior and Graphs

Week 3:

1.4: Composition of Functions

1.5: Transformation of Functions

Week 4:

1.6: Absolute Value Functions

Week 5:

1.7: Inverse Functions

Week 6:

Review

Week 7:

Review and Test

Chapter 2

Linear Functions

Week 1:

Introduction to Linear Functions

Week 2:

2.1: Linear Functions

Week 3:

2.2: Graphs of Linear Functions

Week 4:

2.3: Modeling with Linear Functions

Week 5:

2.4: Fitting Linear Models to Data

Week 6:

Review

Week 7:

Review and Test

Chapter 3

Polynomial and Rational Functions

Week 1:

Introduction to Polynomial and Rational Functions

3.1: Complex Numbers

Week 2:

3.2: Quadratic Functions

3.3: Power Functions and Polynomial Functions

Week 3:

3.4: Graphs of Polynomial Functions

3.5: Dividing Polynomials

Week 4:

3.6: Zeros of Polynomial Functions

3.7: Rational Functions

Week 5:

3.8: Inverses and Radical Functions

3.9: Modeling Using Variation

Week 6:

Review

Week 7:

Review and Test

Chapter 4

Exponential and Logarithmic Functions

Week 1:

Introduction to Exponential and Logarithmic Functions

4.1: Exponential Functions

Week 2:

4.2: Graphs of Exponential Functions

4.3: Logarithmic Functions

Week 3:

4.4: Graphs of Logarithmic Functions

4.5: Logarithmic Properties

Week 4:

4.6: Exponential and Logarithmic Equations

4.7: Exponential and Logarithmic Models

Week 5:

4.8: Fitting Exponential Models to Data

Week 6:

Review

Week 7:

Review and Test

Chapter 5

Trigonometric Functions

Week 1:

Introduction to Trigonometric Functions

Week 2:

5.1: Angles

Week 3:

5.2: Unit Circle: Sine and Cosine Functions

Week 4:

5.3: The Other Trigonometric Functions

Week 5:

5.4: Right Triangle Trigonometry

Week 6:

Review

Week 7:

Review and Test

Chapter 6

Periodic Functions

Week 1:

Introduction to Periodic Functions

Week 2:

6.1: Graphs of the Sine and Cosine Functions

Week 3:

6.2: Graphs of the Other Trigonometric Functions

Week 4:

6.3: Inverse Trigonometric Functions

Week 5:

Review

Week 6:

Review

Week 7:

Review and Test

Chapter 7

Trigonometric Identities and Equations

Week 1:

Introduction to Trigonometric Identities and Equations

7.1: Solving Trigonometric Equations with Identities

Week 2:

7.2: Sum and Difference Identities

7.3: Double-Angle, Half-Angel, and Reduction Formulas

Week 3:

7.4: Sum-to-Product and Product-to-Sum Formulas

Week 4:

7.5: Solving Trigonometric Equations

Week 5:

7.6: Modeling with Trigonometric Functions

Week 6:

Review

Week 7:

Review and Test

Chapter 8

Further Applications of Trigonometry

Week 1:

Introduction to Further Applications of Trigonometry

8.1: Non-right Triangles: Law of Sines

Week 2:

8.2: Non-right Triangles: Law of Cosines

8.3: Polar Coordinates

Week 3:

8.4: Polar Coordinates: Graphs

8.5: Polar Form of Complex Numbers

Week 4:

8.6: Parametric Equations

8.7: Parametric Equations: Graphs

Week 5:

8.8: Vectors

Week 6:

Review

Week 7:

Review and Test

Chapter 9

Systems of Equations and Inequalities

Week 1:

Introduction to Systems of Equations and Inequalities

9.1: Systems of Linear Equations: Two Variables

Week 2:

9.2: Systems of Linear Equations: Three Variables

9.3: Systems of Nonlinear Equations and Inequalities: Two Variables

Week 3:

9.4: Partial Fractions

9.5: Matrices and Matrix Operations

Week 4:

9.6: Solving Systems with Gaussian Elimination

9.7: Solving Systems with Inverses

Week 5:

9.8: Solving Systems with Cramer’s Rule

Week 6:

Review

Week 7:

Review and Test

Chapter 10

Analytic Geometry

Week 1:

Introduction to Analytic Geometry

10.1: The Ellipse

Week 2:

10.2: The Hyperbola

Week 3:

10.3: The Parabola

Week 4:

10.4: Rotation of Axes

Week 5:

10.5: Conic Sections in Polar Coordinates

Week 6:

Review

Week 7:

Review and Test

Chapter 11

Sequences, Probability, and Counting Theory

Week 1:

Introduction to Sequences, Probability and Counting Theory n

11.1: Sequences and Their Notations

Week 2:

11.2: Arithmetic Sequences

11.3: Geometric Sequences

Week 3:

11.4: Series and Their Notations

11.5: Counting Principles

Week 4:

11.6: Binomial Theorem

Week 5:

11.7: Probability

Week 6:

Review

Week 7:

Review and Test

Chapter 12

Introduction to Calculus

Week 1:

Introduction to Calculus

Week 2:

12.1: Finding Limits: Numerical and Graphical Approaches

Week 3:

12.2: Finding Limits: Properties of Limits

Week 4:

12.3: Continuity

Week 5:

12.4: Derivatives

Week 6:

Review

Week 7:

Review and Test

Pre-Calculus Review

Review