Lectures related to Sub/Super Harmonic Functions

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

Explores differentiability, propositions evaluation, and solutions to equations using derivatives.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

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

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Explores the equivalence of definitions for functions with limits, emphasizing rigorous mathematical reasoning.