Lectures related to Lemniscate elliptic functions

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

Real Functions: Definitions and Properties

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

Covers control structures, loops, and functions in C language, emphasizing the importance of local variables and avoiding global variables.

Partial Derivatives: Definitions and Examples

Covers the concept of partial derivatives and their applications in mathematical analysis.

Functions: Differentials, Taylor Expansions, Integrals

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Definitions and Notations

Covers the definitions and notations related to functions.

Entire Functions: Derivatives and Error Terms

Explores entire functions, derivatives, error terms, and cautionary counterexamples.

Derivatives and Continuity in Multivariable Functions

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Understanding Microcontrollers: Functions

Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.

Symmetry in Functions: Definitions and Examples

Explores the definition of pantéch functions and symmetry in functions, including even and odd functions.

Quantum Chaos and Scrambling

Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.

Differential Calculation: Hyperbolic Functions

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Programming Fundamentals: Functions

Introduces Python programming basics, focusing on functions to enhance code efficiency.

Convexity Criteria

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

Piecewise Functions Composition

Covers the composition of piecewise functions and introduces the signum and Heaviside functions.

Symmetries of Trigonometric Functions

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Entropy and the Second Law of Thermodynamics

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

Python Crash Course

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

Functions on R^n: Limits and Partial Differentiation

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

Matlab Functions and Debugging

Covers Matlab functions, debugging, and logical indexing with practical examples.