MAT 3724 Applied Analysis I

1
MAT 3724Applied Analysis I

• 1.2 Part IConservation Laws

http//myhome.spu.edu/lauw
2
HW

• Download HW 02
• HW 02 may not have direct relation with
  section1.2 part I
• Review todays 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
sample point
ith subinterval
7
Review Riemann Sum
8
One Dimension Conservation Law Set Up
9
Total Quantity from xa to xb
10
Total Quantity from xa to xb
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