Continuity of Functions

Related lectures (29)

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

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

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

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

Covers Morse theory, focusing on critical points and non-degeneracy.

Explores continuous functions and integrability through practical examples.

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

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