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Lecture
Methods of Demonstrations: Recurrence and Differential Calculus
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Differential Calculus: Applications and Reminders
Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Recurrence Method: Generalization and Differential Calculus
Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Functions with Values in R^m
Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Partial Derivatives and Gradient
Covers partial derivatives, gradient, and second partial derivatives with their applications.
Partial Derivatives and Gradient
Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.