Lectures related to Advanced Analysis II: Tangent Plan and Differentiability

Delves into functions on R^n, covering limits and partial differentiation.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

Explains injective, surjective, and bijective functions using examples and graphs.

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.