Linear Approximations: Development Order 2

This lecture covers the development of linear approximations up to order 2, focusing on the limited development of functions around a point. It explores the concept of linear approximation, Hessian matrix, and Taylor polynomials of order 2. The lecture also delves into the symmetric property of the Hessian matrix and the Taylor polynomial of order 2. Various examples and calculations are provided to illustrate the application of these concepts.