Session Overview
 |
This session begins our study of systems of differential equations. Systems of DE's have more than one unknown variable. This can happen if you have two or more variables that interact with each other and each influences the other's growth rate. The first thing we'll do is to solve a system of linear DE's using elimination. We do this first, because this method is already available to us right now. Starting in the next session we will learn about matrix methods and these will be our preferred approach to solving and understanding systems of DE's. |
Session Activities
Read the course notes:
Watch the lecture video clip:
- Introduction to Systems (00:37:57)
Read the course notes:
Complete the practice problem:
Watch the lecture video clip:
-
Autonomous Systems: Solutions are Parametrized Curves (00:09:07)
Autonomous Systems: Solutions are Parametrized Curves
> Download from iTunes U (MP4 - 90MB)
> Download from Internet Archive (MP4 - 90MB)
Read the course notes:
Complete the practice problem:
Read the course notes:
Complete the practice problem:
Learn from the Mathlet materials:
- Read about how to work with the Linear Phase Portraits: Matrix Entry Applet (PDF)
- Work with the Linear Phase Portraits: Matrix Entry Applet
Read the course notes:
Learn from the Mathlet materials:
- Read about how to work with the Companion Matrix option in the Linear Phase Portraits: Matrix Entry Applet (PDF)
- Work with the Companion Matrix option in the Linear Phase Portraits: Matrix Entry Applet
Check Yourself
Take the quiz:
Session Activities
Watch the problem solving video:
- Linear Systems of Equations (00:06:33)
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)