Lectures related to Embedding Theorems in Sobolev Spaces

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Covers the definition of limits and continuous functions with examples and exercises.

Covers the study of functions, focusing on convexity criteria within closed subintervals.

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers operations on real-valued functions, defining the sum, product, and quotient of functions.