Lectures related to Functions Extension and Taylor Expansion

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Covers finding unique local maxima and functions oscillating infinitely.

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

Covers parametric functions, integrals, and the origin of plasticity in metals.

Covers the concept of limit at a point and function composition in the context of continuous functions.

Covers the computation of Taylor expansions composition up to order 4.