Lectures related to Continuity: Examples and Definitions

Covers functions, including even and odd functions, periodicity, and function operations.

Explores real functions, covering parity, periodicity, and polynomial functions.

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

Covers limits, continuity, and the intermediate value theorem in functions.

Covers entropy, its definition, and its implications in thermodynamics.

Covers the definition and examples of limits at a point in calculus.

Delves into functions on R^n, covering limits and partial differentiation.

Explores neural networks, activation functions, backpropagation, and PyTorch implementation.

Discusses generalized fine increments, function evaluation, theorems, and derivative applications.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Explores limits, convergence, and boundedness of functions and sequences.

Covers the resolution of mathematical equations and series convergence.

Covers the concept of level sets of functions and their graphical representation.

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

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers the definitions and notations related to functions.

Explores decreasing and growing functions, bounded sequences, and limit existence.

Covers the functions xr, r>0, on [1, +∞], exploring their limits and properties.

Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.

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