Morse Theory: Critical Points and Non-Degeneracy

Related lectures (30)

Page 1 of 3

Discusses local extrema of functions in two variables around the point (0,0).

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

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

Explores continuous functions and integrability through practical examples.

Explores the integration by parts technique through examples, showcasing its step-by-step application to functions like cos(x) and sin(x.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Explores techniques for minimizing functions and finding critical points.

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

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

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