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

The exam will take place Monday May 3, 8-10 am (Section 003) and Thursday May 6, 1:30-3:30 pm (Section 005). Remember, you can use only basic (or scientific) non-graphing calculators, though in fact a calculator should not be necessary at all.

The exam will cover the sections covered by the previous exams, and also sections 7.4, 7.5, 7.6, and 8.1. These last four sections will have some emphasis. It will be out of 75 points.

Here are some things the exam will definitely cover (but there may be other items as well):

1. Solving a first order linear equation with an integrating factor

2. Substitution, for first order and second order reducible equations

3. Theory of linear differential equations, including definitions (see summary sheet here)

4. Calculating Laplace transforms and inverse Laplace transforms, and using the Laplace transform to solve initial value problems

5. Convolution, step functions, and periodic functions

6. Using the power series method to solve a differential equation

The following items will not be on the final exam: slope fields, Torricelli's Law, mixing problems, Euler's formula, variation of parameters, pendulums, whirling strings.

A list of standard Laplace transforms and properties (similar to the inside cover of the textbook) will be given to you. Some standard power series expansions will also be given.

Exam problems may be similar to homework and quiz problems. For practice you may wish to look at past exams on Darryl McCullough's web page. Be aware that his exams may have emphasis in slightly different areas than ours will.


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