Aproximação e interpolação de funções por polinômios

Abstract

For the mathematics teacher the worst experience is to hear from their students the fearsome questions: "What is this for?" and "Where will I use this subject in my life?" With this work we want to contribute for the knowledge of a part of mathematical modeling, that can be applied in high school. Contributing for the answer of those questions in some contents. Here we aquired some knowledge of algebraic equations and function approximations. We seek to understand some interpolation methods and present them as a tool of mathematical modeling. We did this in order to use only polynomial approximation of functions, since the polynomials are less complicated to manipulate. We show that the polynomial interpolation is a particular case of interpolation. We also show another method that doesn't only use polynomial function, the Least Squares method