Lectures related to Fibonacci numbers and the golden ratio

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.