## Exams

See the syllabus for administrative information.

#### Final

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.

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

#### Midterm

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
Here is the equation sheet, which will be included in the exam. Here are two pairs of practice midterms with solutions. This summer we have only one midterm, instead of the standard two, so some material traditionally on midterm 2 will be on the midterm---hence the practice midterms come in pairs.