Lecture 1

Lecture 2

Lecture 3
Direction fields    In this file I used MAPLE to sketch each of the direction fields for the practice problems assigned for section 2.1.

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8
Phase Portraits    In this file I used MAPLE to sketch some phase portraits for various first order systems.  Next week we will give mathematical explanations for what we see in these pictures.

Lecture 9

Lecture 10

Lecture 11

Lecture 12

Lecture 13

Lecture 14

Lecture 15

Lecture 16

Lecture 17