Math 3113-003/005   Introduction to Ordinary Differential Equations, Spring 2004
Information about Exam III

This exam will be held during regular class time on Thursday April 15. Remember, you can use only basic (or scientific) non-graphing calculators, though in fact a calculator is not necessary at all.

The exam will cover sections 4.1-4.2 and 7.1-7.3. It will be out of 55 points.

Here are some things the exam will cover (but it is not limited to these items):

1. Using elimination (or substitution) to solve systems of differential equations.

2. Expressing higher order differential equations as first order systems of equations.

3. Using the definition of the Laplace transform, either for simple computations, or for simple verifications of properties.

4. Computing Laplace transforms and inverse Laplace transforms using a list of formulas and properties.

5. Using the Laplace transform to solve initial value problems.

6. Using partial fractions to compute inverse Laplace transforms.

A list of standard Laplace transforms and properties (similar to the inside cover of the textbook) will be given to you. You do not need to memorize the definition of the Gamma function, but you should know its basic properties.

Exam problems may be similar to homework problems and quiz 3 problems. For practice you may wish to look at past exams on Darryl McCullough's web page. Be aware that these past exams don't all cover exactly the same topics as ours will.


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