1. MAT 1228 Series and Differential Equations Section 4.1 Definition of the Laplace Transform http://myhome.spu.edu/lauw

2. Quiz Monday Quiz 3.7, 4.1

3. Preview Specially designed for Initial Value Problems Definition in the form of an improper integral Transforms of elementary functions Transforms of piecewise defined functions

4. Solutions Principals/Ideas

5. A Tale of Two Worlds

9. Definition Notation:

10. Theoretical Background

11. WebAssign

12. Example 1

13. Warning All Improper integrals are defined by limits. In particular, do not use the following notation:

14. Theorem 4.1

15. Property

16. Example 2

17. Example 3

18. Warning There is no such rule as:

19. Example 4 (Piecewise Defined Functions)