1. MAT 3724 Applied Analysis I 1.2 Part I Conservation Laws http://myhome.spu.edu/lauw

2. HW Download HW 02 HW 02 may not have direct relation with section1.2 part I Review today’s lecture after class!

3. Preview Fundamental Conservation Law

4. A Source of PDE Many PDE come from a basic balance law/conservation law. We are going to look at a very simple case.

5. General Idea Quantity of something … e.g. 1. 2. 3. 4.

6. Review: Riemann Sum i th subinterval sample point

7. Review: Riemann Sum

8. One Dimension Conservation Law: Set Up

9. Total Quantity from x=a to x=b

11. Rate In and Rate Out

12. Rate Created / Destroyed

13. Fundamental Conservation Law

14. PDE model

15. Challenge

16. Review: Fundamental Theorem of Calculus Need this for the HW. Example and Expectations