MTH-403 · 9 pages
Multivariable calculus, differentiation in Rⁿ, inverse and implicit function theorems.
Contents
Euclidean Space and Topology · Vector Space and Norm · Continuity …
Motivation for Differentiability · Properties of Derivatives · Chain Rule
Partial Derivatives · Sufficient Condition · Continuous Differentiability and Mixed Partials …
Inverse Function Theorem · Diffeomorphisms · Implicit Function Theorem
Problem 1 (Spivak 1-7) · Problem 2 (Spivak 1-13) · Problem 3 (Spivak 1-21) …
Problem 1 · Problem 2-11(b) · Problem 2-12 …
Problem 2.28 · Problem 2.29 · Problem 2.30 …
Problem 2-36 · Problem 2-37 · Problem 2-38 …
Problem 2-26