Revision Videos

Revision Videos

MA259 Multivariable Calculus

An ongoing series by Luca Seemungal

The Derivative

Part 1: Motivation, Directional Derivatives and Partial Derivatives

Part 2: The Jacobian

Part 3: The Fréchet Derivative

Part 4: Regularity Results

Part 5: Example of Differentiating Matrix-Valued Functions

Submanifolds

Part 1: Definition of a Submanifold

Part 2: Tangent Spaces

Part 3: Level Sets as Submanifolds (and the Implicit Function Theorem)