Advanced analysis II: implicit functions theorem

Related lectures (23)

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

Explores continuity and limits of real functions, including examples and the concept of uniform continuity.

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

Discusses limits of multivariable functions, focusing on definitions, examples, and techniques for calculating limits effectively.

Explains how to find local extrema of functions using derivatives and critical points.

Focuses on determining local extremum points of functions through various examples.

Covers necessary conditions for extrema and provides illustrative examples.

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Covers real functions, continuity, and differential calculus, including the intermediate value theorem and derivatives.