Math 274 - Exam 1 - Sp 2018
Wednesday 19 Sept 2018, 6:10-8:00
You are responsible for all prerequisite information, this is a partial list.
The exam is written to take about 55 minutes. You will have 110 minutes to complete the exam.
The exam covers Sections 1.1 - 2.9 Expectations from each section are listed below.
- 1.1 - 1.3 No explicit questions from this chapter, but the language is used throughout the class/exam.
- 2.1 - Be able to verify a function is/is not a solution.
- 2.2 - Be able to identify a separable equation and solve via separation.
- 2.3 - Be able to solve an equation given by a model, but you will not be expected to create your own model for the exam.
- 2.4 - Be able to identify a linear equation and solve using the integrating factor and/or variation of parameters. Know how to solve a Bernoulli equation, see #22, 23, and 25 in the homework.
- 2.5 - Be able to set up and/or solve an ivp modeling a mixing problem.
- 2.6 - Be able to identify and solve an exact equation. Be able to to show, using the partial derivative condition, that an equation is/is not exact. Know how to solve a Homogeneous equation, see #35 and 37 in the homework.
- 2.7 - Understand both Existence and Uniqueness theorems.
- 2.8 - Not explicitly on the exam, but interesting.
- 2.9 - Be able to identify and classify equilibria and use the phase line to predic asymptotic behavior.
Particulars.
- The exam is 100 points.
- Roughly 40% of the exam is composed of homework problems or slight variation of homework problems.
- Unless otherwise specified, implicit solutions are acceptable.