1. MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

2. Today’s Class  We will be learning the following concepts today:  Exponential Growth  Exponential Decay  Learning Curves  Logistic Growth Functions Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 2

3. Example 1 Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 3

4. Example 2 Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 4

5. Example 3 Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 5

6. Example 4 Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 6

7. Example 5 Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 7

8. Example 6 Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 8

9. Next Class  We will discuss the following concepts:  Antiderivatives  The Indefinite Integral  Basic Integration Rules  Differential Equations  Initial-Value Problems  Please read through Section 6.1 – Antiderivatives and the Rules of Integration in your text book before next class. Dr. Erickson 5.6 - Exponential Functions as Mathematical Models 9