Properties of Functions

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Related lectures (27)

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Advanced Analysis II: Tangent Plan and Differentiability

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Homotheties and Translations

Covers homotheties, translations, and compositions of functions in geometric transformations.

Taylor Series: Convergence and Applications

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Derivatives and Continuity in Multivariable Functions

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Mathematics: Functions and Series

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Limit of the Quotient and Periodicity

Explores the limit of the quotient for sequences and the periodicity of functions.

Definitions and Notations

Covers the definitions and notations related to functions.

Derivatives and Functions: Definitions and Interpretations

Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

Global Conservation Laws

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.