See the syllabus for administrative information.

Here's the final without solutions; with solutions. Here are some statistics.

Topics for the final:

- 3.5: non-homogeneous DE's
- 3.6: variation of parameters
- 3.7: unforced vibrations
- 3.8: forced vibrations
- 6.1: Laplace transforms (only the parts discussed in lecture; this section is very technical, and we skipped most of it)
- 6.2: Laplace transforms and IVP's
- 6.3: Step functions
- 6.4: Discontinuous forcing

Here is the equation sheet, which will be included in the exam.

Below are two practice finals with solutions. This summer we have only two exams instead of the usual three, so keep that in mind when going through old exams. Our final is not cumulative and will focus on material from after the midterm.

- Practice final A; solutions. Ignore 6 (it's a bonus question).
- Practice final B; solutions. Skip 1, 4, and 8.

More practice exams may be found in Andy Loveless' Math 307 Exam Archive.

Here's the midterm without solutions; with solutions. Here are some statistics.

Topics for the midterm:

- 2.2: separable equations
- 2.3: first order equations, modeling
- 2.4: first order existence/uniqueness
- 2.5: autonomous equations
- 2.6: integrating factors
- 2.7: Euler's method
- 2.8: Picard iteration
- 3.1: homogeneous constant coefficient second order equations, distinct real roots
- 3.2: second order existence/uniqueness, Wronskians
- 3.3: complex roots
- 3.4: repeated roots, reduction of order

- Practice midterm A1; solutions.
- Practice midterm A2; solutions. 1(b): replace 4 cos(3t) with 0; stop after 2.
- Practice midterm B1; solutions. Skip 1(b).
- Practice midterm B2; solutions. 1(a): replace 2t e^t with 0; stop after 1.