Aplicação do polinômio de Taylor na aproximação da função Seno
-д хадгалсан:
| Үндсэн зохиолч: | |
|---|---|
| Хэвлэлийн огноо: | 2014 |
| Формат: | Master thesis |
| Хэл сонгох: | por |
| Эх сурвалж: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/3493 |
Тойм: | In this work the main goal is focused on applying the theory of Taylor polynomial approximations applied on the trigonometric function defined by f : [0; 2 ] ! R, where f(x) = sin(x). To achieve this goal, eight sections were developed, in which initially a reflection on the problem and the need to obtain the values in this respect in that it is wide angle measure x is presented. Is presented and subsequently treated a problem involving the movement of a pendulum, which uses the approximation sin(x) x where x belongs to a certain range. In the sections that follow a literature review of the theories of differential and integral calculus is presented, and the related theory of Taylor approximation of functions by polynomials. Later we used these theories to analyze and determine polynomials approximating the function f(x) = sin(x) in a neighborhood of the point x = 0, and estimate the error when we applied these approaches. At this time the error occurred due to the approach used in the pendulum problem was also analyzed. Finally a hint of practice to be held in the classroom using the theories treated here as well as the study of the problem of heat transfer in a bar through the theory of Fourier activity is presented. |
Ижил төстэй зүйлс: Aplicação do polinômio de Taylor na aproximação da função Seno
- Funções e equações polinomiais comportamento da função do 3o grau
- Análise do discriminante em equações polinomiais de terceiro grau a partir de funções simétricas
- A álgebra dos polinômios
- Uma introdução ao estudo das funções matriciais
- O ensino das funções trigonométricas com o auxílio do software matemático de ambiente grá fico WINPLOT
- Equações polinomiais: da equação de 1º grau à teoria de Galois