Lectures related to Extrema and Lagrange Multipliers

Derivative of an Integral with Parameter

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Proofs: Contraposition vs. Contradiction

Covers the concepts of contraposition and contradiction in proofs.

Integers: Sets, Maps, and Principles

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Proofs and Sets: Applications

Covers the basics of proofs, defining sets, and applications between sets.

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Integration by Substitution

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

Number Theory: Operations and Equivalence

Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.