Lectures related to Matrix Jacobian Function

Differentiability of Functions of Several Variables

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

Derivability of Reciprocal Function

Covers the derivative of the reciprocal function and its properties.

Algebraic Operations on Derivatives

Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.

Differentiability and Tangent Planes in Multivariable Functions

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

Natural Cubic Splines

Explains the construction of natural cubic splines, emphasizing smoothness and continuity in the function representation.

Implicit Functions Theorem

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.