Info on the Final is posted here. The Final is worth 100 points. You will be given 110 minutes to complete the final.
Final:
307 A:
Date: March 19th
Time: 8:30-10:20
Extra office hours: Tuesday 3:00-4:00
307 I:
Date: March 17th
Time: 8:30-10:20
Extra office hours: Sunday 3:00-4:00
Place: Our usual classroom
Rules:
One double-sided page of notes will be allowed
Non-graphing calculators are allowed
Note: Please only come to the extra office hours listed below your section. If these times do not work for you send me an email so we can arrange to meet at another time.
Material covered
All material from the class
You have to know formulas 1, 2, 3, 5, 6, 12, 13 and 18 from the Laplace Transform table on pg. 319 of your book
There will be 7 questions total:
Separable Equations
Reduction of order, fundamental sets of solutions, the Existence and Uniqueness Thm
Undetermined Coefficients
Springs: resonance, critical damping, behavior at infinity
Laplace Transform: derivation
Laplace Transform: differential equation with discontinuous forcing function
Step Functions
Some practice problems you should be sure to do
§ 2.2 #21, Example pbl 2 on pg. 44
§ 3.2 #7, #8, #25, #26
§ 3.5 #26, 28
§ 4.3 #3, 4
§ 6.3 #2, 4, 7, 8, 14, 21
§ 6.4 #1, 3, 8
For springs you will need to know: when resonance occurs; what happens at critical damping; when critical damping occurs; the behavior of solutions at infinity.