Lectures related to Real Functions: Definitions and Graphs

Generalized Integrals: Definition and Applications

Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.

General Mathematics I: Derivatives and Tangents

Explores derivatives, tangents, and elementary function rules in general mathematics.

Level Curves and Graphs of Functions

Covers level curves and graphs of functions in two and three dimensions.

Injective Functions: Properties and Examples

Covers the properties of injective functions and demonstrates their proofs through examples and visual aids.

Real Functions: Limit of Functions

Explores real functions and the concept of limits through examples and calculations.

Graphs: Injection and Surjection

Explains injectivity and surjectivity criteria in functions using graphical representations.

Pseudorandomness: Theory and Applications

Explores pseudorandomness theory, AI challenges, pseudo-random graphs, random walks, and matrix properties.

Convex Functions

Covers the properties and operations of convex functions.

Real Functions: Continuity and Limits

Explores continuity and limits of real functions, including examples and the concept of uniform continuity.