Lectures related to Functions with Multiple Variables

Derivatives and Continuity in Multivariable Functions

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

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Linear Applications and Matrix Derivatives

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Differentiability of Functions of Several Variables

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Functions with Values in R^m

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Geometric Interpretation of Derivatives

Explores the geometric interpretation of derivatives and properties of derivable functions.

Differential Calculus: Applications and Reminders

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Tangent to Graph of a Function

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

Directional Derivatives

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Differentiability and Tangent Planes in Multivariable Functions

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Partial Derivatives and Derivability

Explains partial and directional derivatives, and functions' derivability.

Partial Derivatives and Functions

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

Differentiability of Functions: Properties and Methods

Explores the properties and methods of differentiable functions, including strong recurrence and demonstration techniques.

Functions of LR: Differentiability

Explains differentiability in LR functions and introduces the Jacobian matrix.

Derivatives and Tangent Planes

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Directional Derivatives and Tangent Planes

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

Partial Derivatives and Functions

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Differential Functions: Derivability and Gradient

Explores differentiability in functions and the role of gradients in directional derivatives.