Exam III will be in the usual classroom on April 27, 2001. Only a basic, non-graphing calculator may be used. Actually, there is no need to use a calculator.

The exam will be worth 52 points, and will cover sections 4.1-4.2 and 7.1-7.5. However, the coverage of section 7.5 will only be through the material on periodic functions. It will not include the part on t-translation.

A copy of the formulas list for Laplace transforms, identical to the handout from class, will be included with your exam.

Most of the questions will involve carrying out one or two steps of a problem, but will instruct you not to continue beyond those steps. Also, some questions will include instructions to work the problem in a certain way. Read each question carefully, so that you know exactly what is being requested.

Topics covered on the exam will include:

1.	Calculating Laplace transforms and inverse Laplace transforms.
2.	Setting up the correct partial fractions to simplify a rational function.
3.	Writing a high-order DE as a system of linear equations.
4.	Solving systems of linear DE's using differential operator notation and Kramer's rule.
5.	The convolution operation on functions and its use in inverse Laplace transforms.

You will need to known Kramer's rule from memory. Also, review the arctangent function and the integration formula:    \int   1/(1 + x^2)   dx   =   arctan(x).

For this exam you will not need to study the mass-spring system, the Existence and Uniqueness Theorem for linear systems, the phase-plane portrait, or the Gamma function. Of course, some of those topics may be covered on the Final Exam.