Differential calculus of several variables
A 8-module path through differential calculus of several variables, in study order from foundations to the frontier.
Modules
- Limits and continuity in several variables
- Partial derivatives and geometry
- Differentiability and differentials
- Chain rule and implicit differentiation
- Higher-order partial derivatives and commutativity
- Homogeneous functions, Euler’s theorem, and harmonic functions
- Taylor expansion in several variables
- Maxima, minima, and Lagrange multipliers