Chapter 7: Differential Equations and Mathematical Modeling
Packet
![](https://www.google.com/images/icons/product/drive-32.png)
7.1 Slope Fields and Euler's Method
Mastery Objectives
Students will be able to construct antiderivatives using the Fundamental Theorem of Calculus
Students will be able to solve initial value problems using separation of variables
Students will be able to construct slope fields using technology and interpret slope fields as visualization of different equations.
Students will be able to use Euler's Method for graphing a solution to an initial value problem.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 3,5,7,10,12,15,21,31,35-40, ,45,51,55,59,63,71,73,74
Videos
Antiderivatives and Differential Equation Basics
Introduction to Solving Differential Equations
Slope Fields and Differential Equations
Differential Equations and Initial Values
Solving Differential Equations Examples
Separation of Variables Differential Equation
7.2 Antidifferentiation by Substitution
Mastery Objectives
Students will be able to compute indefinite integrals by the method of substitution
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 1-11 odd, 18,19,21,29,33,37,39,47,55,65, 74,75,76,77
7.3 Antidifferentiation by Parts
Mastery Objectives
Students will be able to evaluate indefinite integrals using integration by parts and tabular integration techniques
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 1-9odd,15,22,24,25,29-30,33,37,38 QQAP 1-3
7.4 Exponential Growth and Decay
Mastery Objectives
Students will be able to solve problems involving exponential growth and decay in a variety of applications.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 1-9 odd,13,21,24,27,31,41,49-51
7.5 Logistic Growth
Mastery Objectives
Students will be able to solve problems involving exponential and logistic population growth.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
3,7,9,13,17,21,25,29,32,34,41,44,47 QQAP #2,4
Review
Review Practice
![](https://www.google.com/images/icons/product/drive-32.png)
![](https://www.google.com/images/icons/product/drive-32.png)
Answer Keys
![](https://www.google.com/images/icons/product/drive-32.png)
![](https://www.google.com/images/icons/product/drive-32.png)
Chapter Summary
![](https://www.google.com/images/icons/product/drive-32.png)
![](https://www.google.com/images/icons/product/drive-32.png)