Lectures related to Finite Difference Formulas

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Numerical Differentiation and Integration

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Derivatives: A Brief History

Explores the history and evolution of derivatives markets and securities tied to underlying assets.

Differential Calculus: Applications and Reminders

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

Surjectivity of Derivative Application

Covers the surjectivity of the derivative application for continuous functions on closed intervals.

Functions with Values in R^m

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

Intermediate Value Theorem

Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.

Partial Derivatives and Applications

Explores partial derivatives, Jacobian matrix, directional derivatives, and their applications.