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Lecture
Partial Derivatives
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Partial Derivatives
Covers the concept of partial derivatives and properties of saddle points.
Functions of Class C^p
Explores functions of class C^p, emphasizing continuity and differentiability properties.
Partial Derivatives: Gradient and Theorem of Mean Value
Introduces the gradient concept and the Theorem of Mean Value for functions in several variables.
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.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Differentiability and Derivatives
Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.
Partial Derivatives and Differential Equations
Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.
Partial Derivatives Rules
Explores rules of derivation, including partial derivatives and cyclic identities.
Partial Derivatives and Gradient
Covers partial derivatives, gradient, and second partial derivatives with their applications.