Lectures related to Differentiability in Analysis

Explores locally Lipschitz functions, discussing differentiability, unique solutions, and function reduction.

Covers the ideal gas equation, state variables, derivatives, and pressure rationalization.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Explores the theory of optimal transport, focusing on Lipschitz functions and uniqueness of solutions.

Explains Newton's method of order 2 for finding function zeros.