Advanced analysis II

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Related lectures (20)

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Partial Derivatives and Functions

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Partial Derivatives: Generalization and Order 2

Explains partial derivatives, generalization, and second order derivatives with examples and mathematical notations.

Derivatives and Continuity in Multivariable Functions

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

Derivable Functions: Partial Derivatives and Jacobian Matrix

Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.

Differentiability in Analysis

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Partial Derivatives: Higher Order and Multi-variables

Explores higher-order partial derivatives and multi-variables in functions.

Partial Derivatives: Gradient and Theorem of Mean Value

Introduces the gradient concept and the Theorem of Mean Value for functions in several variables.

Functions of Class C^p

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

Methods of Demonstrations: Recurrence and Differential Calculus

Covers methods of demonstrations and differential calculus of functions of several variables.

Mathematical Complements: df or δf

Explores mathematical tools for differentials of functions of multiple variables and integrals, including conservative quantities and exact total differentials.