Session Overview
 | In this session we will look at graphical methods for visualizing DE's and their solutions. The primary tool for doing this will be the direction field. We will learn techniques to sketch this by hand and also learn to use direction fields drawn by the computer. |
Session Activities
Read the course notes:
Watch the lecture video clip:
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Geometric View of DE's: Direction Fields, Integral Curves (00:27:29)
Geometric View of DE's: Direction Fields, Integral Curves
> Download from iTunes U (MP4 - 93MB)
> Download from Internet Archive (MP4 - 93MB)
Read the course notes:
Watch the lecture video clip:
- Example, Existence and Uniqueness (00:15:36)
Complete the practice problem:
Session Activities
Read the course notes:
Watch a lecture video clip:
-
Example Where Existence and Uniqueness Fails (00:04:50)
Example Where Existence and Uniqueness Fails
> Download from iTunes U (MP4 - 93MB)
> Download from Internet Archive (MP4 - 93MB)
Learn from the Mathlet materials:
- Watch the video
Exploration of the Isoclines Applet (00:10:59)
Exploration of the Isoclines Applet
> Download from iTunes U (MP4 - 16MB)
> Download from Internet Archive (MP4 - 16MB)
- Read about how to work with the Isoclines Applet (PDF)
- Work with the Isoclines Applet
Read the course notes:
Watch the problem solving video:
- Direction Fields (00:11:08)
Complete the practice problems:
Check Yourself
Complete the problem sets:
- Problem Set Part I Problems (PDF)
- Problem Set Part I Solutions (PDF)
- Problem Set Part II Problems (PDF)
- Problem Set Part II Solutions (PDF)