Analysis I: Limits and Continuity

Related lectures (29)

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Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

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

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

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

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

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

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Covers the concepts of optimization, focusing on finding maximum and minimum values.

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.