Mathematical Methods in the Physical Sciences/Chapter 4
- 1. Introduction and notation
- 2. Power series in two variables
- 3. Total differentials
- 4. Approximate calculations using differentials
- 5. Chain rule or differentiating a function of a function
- 6. Implicit differentiation
- 7. More chain rule
- 8. Application of partial differentiation to maximum and minimum problems
- 9. Maximum and minimum problems with constraints; Lagrange multipliers
- 10. Endpoint or boundary point problems
- 11. Change of variables
- 12. Differential of integrals; Liebniz' rule
- 13. Miscellaneous Problems
Overview
This is the beginning of Multi-Variable Calculus. The hardest part is keeping all the symbols and notations separated from each other. It doesn't help that Linear Algebra and Multi-Variable Calculus share similar notation!
