Chapter 8 · Multivariable Differential Calculus

Chapter 8: Multivariable Differential Calculus

Vector structure of $\R^m$, differentials of multivariable functions, the chain rule, Taylor’s formula in several variables, the implicit function theorem and its corollaries (inverse function theorem, Morse lemma), surfaces in $\R^n$, and constrained extrema.

Exercises to be added.