Lectures related to Continuous Functions: Derivability and Global Properties

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

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

Explains vector functions and the parameterization of curves with examples.

Covers directional derivative, differentiability, and gradient matrices, emphasizing the first order.

Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.

Explores the study of local extrema using derivatives and the importance of continuity at critical points.