Chapter 7: Differential Equations and Mathematical Modeling

Packet

Chapter 7 Packet Numbered.pdf

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

7.1 Notes.pdf

Book Problems

#s 3,5,7,10,12,15,21,31,35-40, ,45,51,55,59,63,71,73,74

7.2 Antidifferentiation by Substitution

Mastery Objectives

  • Students will be able to compute indefinite integrals by the method of substitution

Notes

7.2 Antidifferentiation by Substitution.pdf

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

7.3 Notes.pdf

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

7.4 Notes.pdf

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

7.5 Notes.pdf

Book Problems

3,7,9,13,17,21,25,29,32,34,41,44,47 QQAP #2,4

Review

Review Practice

7.1-7.3 Review 201213.pdf
7.4-7.5 Review 2014.pdf

Answer Keys

7.1-7.3 Review 2014 Answers.pdf
7.4-7.5 Review Answers 2016.pdf

Chapter Summary

7.1-7.3 Summary.pdf
7.4-7.5 Summary.pdf