# Math 230 - Chapter 7 Study Guide

- Find the Laplace transform of the expression. (10 parts).
- Find the inverse Laplace transform of the expression. (6 parts).
- Rewrite the piece-wise function using the unit step function.
- Find the Laplace transform for the periodic function. You will need to be able to find the equation from the graph.
- Solve the equations. May be initial value problems, integral equations, or integrodifferential equations. (6 parts).
- Use Laplace transforms to solve the system of differential equations.

## Notes

- You may need to bring scratch paper for extra work, although most of the problems shouldn't require more space than is given.
- Problems 1-3 must be worked without a computer or a formula sheet.
- Problems 4-6 should use Maxima to assist with algebra and calculus, but you should show the steps for the differential equations portion. Show work where necessary.
- You may use a formula sheet with the common Laplace transforms on it for problems 4-6.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
Total |

Pts |
30 |
24 |
4 |
6 |
30 |
6 |
100 |