Penn State University Department of Mathematics Eberly College of Science
Handouts and Software





Applets for drawing direction fields: Direction fields 1 , Direction fields 2 , Direction fields 3 , Direction fields 4 , Direction fields 5 .

Applets for drawing phase portraits: Phase portraits .

How to use applets. General guidelines , and a handout .

Integrating factor method.

Linear dependence/independence.

Plotting with Mathematica for 6.4,6.5 .

Sample exams .

1st Midterm, practice .
Answers to MC problems are CCADAB.

Laplace transform table.

2nd Midterm, practice .
Answers for MC questions are: BCDCDD


Final, practice .
Answers for MC questions are: BCCCCCCB