## Chapter 6 - Differential Equations and Mathematical Modeling

Lesson 6.1 - Slope Fields and Euler's MethodThis lesson will teach students to use slope fields to analyze solution curves to differential equations, and you will be able to use Euler's Method to construct solutions numerically. Lesson 6.2 - Antidifferentiation by SubstitutionThis lesson will teach students to find antiderivatives of functions using the technique of substitution to reverse the effect of the chain rule in differentiation. Lesson 6.3 - Antidifferentiation by partsThis lesson will teach students to find antiderivatives of functions using the technique of parts to reverse the effect of product rule. |

**Lesson 6.4 - Exponential Growth and Decay**

This lesson will teach students to solve separable differential equations, including those arising in problems of exponential growth, exponential decay, and logistic growth.

**Lesson 6.5 - Logistic Growth**

This lesson will teach students to solve the logistic differential equation using the technique of partial fractions and then by the general formula.