Lectures related to Differentiation and Coordinate Changes in Multivariable Functions

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Explores examples of divergence in vector fields and their physical meanings.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.