Lectures related to Advanced Analysis II: Derivatives and Functions

Covers the definition of directional derivative and provides illustrative examples.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Discusses the theorems on convex functions and provides examples for better understanding.