Lectures related to Derivative: introduction

Explains partial derivatives, Hessienne matrix, and their properties.

Explores the definition of connections for smooth vector fields on manifolds.

Discusses the error between f'(x0) and its approximation using a backward finite difference formula.

Explains the integration of Taylor series for CnR class functions.

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers the theory of finite differences and the mean value theorem.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.