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Lecture
Partial Derivatives and Applications
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Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Partial Derivatives and Gradient
Covers partial derivatives, gradient, and second partial derivatives with their applications.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Functions with Values in R^m
Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.
Functions with Multiple Variables
Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.
Methods of Demonstrations: Recurrence and Differential Calculus
Covers methods of demonstrations and differential calculus of functions of several variables.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Limits of Functions in R^n
Explores limits of functions in R^n and the importance of understanding derivatives in multiple dimensions.
Partial Derivatives and Gradient
Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.
Partial Derivatives and Derivability Theorems
Introduces partial derivatives, directional derivatives, and differentiability of functions with examples and the Schwartz theorem.