Lectures related to Mathematics: Limits and Trigonometric Functions

Discusses local extrema of functions in two variables around the point (0,0).

Covers derivability, linear applications, composition of functions, and the gradient vector.

Explores trigonometric formulas for limits and functions with practical examples.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Covers advanced optimization methods using Lagrange multipliers to find extrema of functions subject to constraints.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.