Topic 1:  Composite Functions

• Composite Functions (lecture)
• Compositions of Functions Example
• Combinations of Functions using a Graph

Topic 2:  One-to-One Functions and Inverse Functions

• One-to-one Functions and Inverses (lecture – part 1)
• One-to-one Functions and Inverses (lecture – part 2)

Topic 3:  Exponential Functions

• Exponential Functions (lecture – part 1)
• Exponential Functions (lecture – part 2)
• Finding a Linear or Exponential Function Given a Table
• Graphing Exponential Functions using ALEKS tools (2 examples)

Topic 4:  Logarithmic Functions and Their Graphs

• Log Functions and Their Graphs (lecture – part 1)
• Log Functions and Their Graphs (lecture – part 2)
• Graphing y=log3x using the Graphing Calculator
• Graphing a Logarithmic Function using Transformations
• Graphing Exponential and Log functions using MML graphing tools

Topic 5:  Properties of Logarithms

• Properties of Logs (lecture – part 1)
• Properties of Logs (lecture – part 2 – examples)
• Expanding a Log Expression – examples
• Expanding a Log Expression – another example

Topic 6:  Solving Exponential and Logarithmic Equations

• Solving Exponential Equations
• Solving an Exponential Equation
• Solving Log Equations

Topic 7:  Financial Models and Compound Interest

• Compound Interest (lecture)

Topic 8:  Growth and Decay

• Learning Curve Application
• Exponential Growth and Decay (Lecture)