Lectures related to Taylor and Lagrange Formulas

Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.

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

Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.

Presents the solution to finding the second-order Taylor polynomial of a function.

Introduces derivatives, forward contracts, options, and their financial uses.

Discusses the continuity of the derivative function and presents a counterexample of a function that is not necessarily continuous.