ENGR 3300 – 505 Advanced Engineering Mathematics Erik Jonsson School of Engineering and Computer Science ENGR 3300 – 505 Advanced Engineering Mathematics http://www.utdallas.edu/~pervin Wednesday: Finish Chapter 4 (10-13) Start Chapter 5 (1-3) Monday 9-10-12 FEARLESS Engineering www.utdallas.edu/~pervin

Infinite Series

Chapter Four Partial Differentiation 1. Introduction and Notation 2. Power Series in Two Variables 3. Total Differentials 4. Approximations Using Differentials 5. Chain Rule 6. Implicit Differentiation 7. More Chain Rule

8. Maximum and Minimum Problems

9. Maximum and Minimum Problems with Constraints; Lagrange Multipliers

4-8.7

4-8.16

4-8.16

4-8.15

4-10.2 continued

4-10.3

http://tutorial. math. lamar. edu/Classes/CalcIII/LagrangeMultipliers http://tutorial.math.lamar.edu/Classes/CalcIII/LagrangeMultipliers.aspx

Leibniz’ Rule (limited uses for us)

A First Course in Real Analysis, Protter & Morrey, 1991

4-12.13

4-12.2

A Different Application

5. Multiple Integrals Section 1: Introduction Section 2: Double and Triple Integrals Section 3: Applications