Lectures related to Limits Analysis

Presents the solution to finding the second-order Taylor polynomial of a function.

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Advanced Analysis II: Derivatives and Functions

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

Continuous Functions: Integrability and Examples

Explores continuous functions and integrability through practical examples.

Applications of Theorems

Demonstrates the practical application of theorems in calculus through two clever examples.

Limits of Functions: Calculus Methods

Explores the concept of limits of functions of several variables and methods for calculation, including criteria based on convergent sequences and the 'two gendarmes' theorem.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.