Lectures related to Local Extrema of Functions

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

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Demonstrates the practical application of theorems in calculus through two clever examples.

Presents the solution to finding the second-order Taylor polynomial of a function.

Explores continuous functions and integrability through practical examples.

Covers the composition of piecewise functions and introduces the signum and Heaviside functions.

Covers the concept of continuity of functions and determining continuity at specific points through examples.