Lectures related to Equivalence Relations: Relations, Sequences and Summations

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Real Functions: Definitions and Properties

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

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

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Equivalence Classes and Relations

Covers equivalence classes, relations, quotient sets, and functions properties.

Understanding Microcontrollers: Functions

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

Partial Derivatives: Definitions and Examples

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

Entropy and the Second Law of Thermodynamics

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

Definitions and Notations

Covers the definitions and notations related to functions.

Python Crash Course

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

Convexity Criteria

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

Linear Algebra: Applications and Definitions

Covers the definition of applications, image of elements, and direct and reciprocal images.

Sets and Functions

Introduces binary relations, functions, and various types of relations in sets.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Differentiating under the integral sign

Explores differentiating under the integral sign and continuity of functions in integrals.

Python Modules and Functions

Covers Python libraries, modules, scoping, functions, lambdas, and practical examples.

R Programming: Conditions, Loops, Functions & Graphics

Covers conditions, loops, functions, and graphics in R programming with practical examples.

Comparison Series and Integrals

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Products and Convolution of Transforms

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Algorithms & Growth of Functions

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.