Analysis III: Third Class

Related lectures (23)

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Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Covers the properties and operations of convex functions.

Covers continuity, limits, and different approaches to approaching points in various coordinate systems.

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

Covers the derivation of a field from a potential and explores convexity.

Covers level curves and graphs of functions in two and three dimensions.

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

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Covers the calculation of the length of curves and the properties of tangent vectors.

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