Advanced Analysis I: Taylor Formula and Limit Development

Related lectures (26)

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Covers Taylor polynomials and their role in approximating functions in multiple variables.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.

Covers the concept of functions being n+1 times differentiable and the Taylor formula.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers the concept of functional derivatives and their calculation process with examples.

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

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Introduces mathematical notations and functions essential for general physics.