Calculus: Logistic Growth and Newton's Cooling Law

Calculus: Logistic Growth and Newton's Cooling Law
Calculus: Logistic Growth and Newton's Cooling Law
Calculus: Logistic Growth and Newton's Cooling Law
Calculus: Logistic Growth and Newton's Cooling Law
Calculus: Logistic Growth and Newton's Cooling Law
Calculus: Logistic Growth and Newton's Cooling Law
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  1. This is the bundled unit for UNIT 7: ADVANCED TECHNIQUES OF INTEGRATIONEach lesson provides:✎ A set of Guided Notes which is a full-sheet skeleton format of the lesson, ✎ Teachers have a fully-editable SMART Board® presentation that matches set of Guided Notes.The bundle includes:★ 2 Bonus Mini-assi
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Product Description

This is the final lesson in an eight-lesson unit on Advanced Techniques of Integration for students enrolled in AP Calculus BC or Calculus 2. Every lesson includes

✎ A set of Guided Student Notes

✎ A daily homework assignment

✎ Two forms of a daily homework quiz or exit ticket

✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

Lesson Objective:

★ Solve and analyze logistic differential equations

★ Use logistic differential equations to model and solve applied problems.

★ Use Newton’s Cooling Law to solve applied problems.

College Board® Learning Objectives:

★ LO3.5A (BC) Analyze differential equations to obtain general and specific solutions.

★ EK 3.5A1 Antidifferentiation can be used to find specific solutions to differential equations with given initial conditions, including applications to motion along a line, exponential growth and decay, and logistic growth.

★ LO3.5B Interpret, create, and solve differential equations from problems in context.

★ EK 3.5B2 (BC) The model for logistic growth that arises from the statement "The rate of change of a quantity is jointly proportional to the size of the quantity and the difference between the quantity and the carrying capacity" is dy/dt = ky(a-y)

The unit includes the following topics:

1. Indeterminate Forms and L'Hospital's Rule

2. Integration by Parts

3. Partial Fractions and Long Division

4. Trigonometric Integration and Completing the Square

5. Improper Integrals

6. Arc Length

7. Euler's Method

8. Logistic Growth Problems

The SMART Board lesson can be used in many ways.

Teachers can display the presentation using the following:

* SMART Board®

* Airliner Wireless Slate

* SMART Notebook for IPAD App

* Through the SMART Notebook Express ®

* Promethean Boards©

* Other APPS available for Tablets

If you have any questions or comments

please contact me by email at: jean@flamingomath.com

Thanks for shopping in my store!

Total Pages
11 pages
Answer Key
Included
Teaching Duration
50 minutes
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