Undergraduate Course on Numerical Analysis

Numerical Analysis

Professor: Gustavo Buscaglia.; e-mail: gustavo.buscaglia at icmc.usp.br

Summary:: This is a classical two-semester undergraduate course on this subject, with some minor variations:; The topic of Newton-Bairstow method is ideal for discussing code differentiation.; Householder transformations are ideal for describing the QR decomposition.; Least-squares has a taste of finite elements. Spaces of piecewise linear functions and constraints lead to interesting exercises and discussions.; Taylor's method for the numerical solution of ODEs also invites to be presented by code differentiation.; Access to blackboard's pictures.