Math 230 - Chapter 7 Study Guide

  1. Use the definition of the Laplace transform to find a transform. Show work!. Look at problems 7.1.19-36.
  2. Use the table of Laplace transforms to find the transform. Three parts.
  3. Find the inverse transform. Three parts. Look at problems 7.2.1-30.
  4. Use the coverup method to find the inverse transform with partial fractions. Show work! Look at problems 7.2.21-24.
  5. Solve the initial value problem using the Laplace transform. Two parts. Look at problems 7.2.31-40.
  6. Use the convolution theorem to evaluate the transform. Do not evaluate the integral before transforming. Two parts. Look at problems 7.4.19-30.
  7. Use the transform of a convolution to find the inverse transform. Sort of look at 7.4.31-34.
  8. Write the piecewise function using the unit step function. Look at problems 7.3.55-60.
  9. Use the Laplace transform to solve the integral equation. Look at problems 7.4.37-44.
  10. Solve the initial value problem using the Laplace transform. Two parts. Look at problems 7.3.63-70 and 7.5.1-12.
  11. Find the Laplace transform for the periodic function. Look at problems 7.4.49-54.
  12. Use the unit step function to write the function shown in the graphs. Three parts. Look at problems 7.3.49-54 except it isn't matching.

Notes

Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 Total
Pts 8 9 9 6 14 8 6 5 6 14 6 9 100