DSpace Coleção: http://www.repositorio.ufc.br/handle/riufc/4747 2020-05-28T22:15:42Z Aplicações de sequências e séries de números reais: número de Euler, conjunto de Cantor, sequência de Fibonacci e produto de Wallis. http://www.repositorio.ufc.br/handle/riufc/51508 Título: Aplicações de sequências e séries de números reais: número de Euler, conjunto de Cantor, sequência de Fibonacci e produto de Wallis. Autor(es): Falcão Junior, Iarli Barreto Leite Abstract: The study of sequences and series of real numbers is of fundamental importance in the study of Differential and Integral Calculus. This work aims to address some applications of sequences and series of real numbers such as: Euler constant showing its irrationality and addressing its relationship with the alternating harmonic series, the Cantor set and its equivalents in R2 (Sierpinski carpet) and R3 (Monger sponge), Fibonacci sequence and its applications in the Pascal triangle and in the Pythagorean triples and the Wallis product with application in the ellipse length. For that, regarding the methodology, bibliographic research was used. Through this work we can conclude that there are several applications of sequences and series of real numbers in many branches of mathematics. 2020-01-01T00:00:00Z Chebyshev e a variação de um polinômio http://www.repositorio.ufc.br/handle/riufc/51383 Título: Chebyshev e a variação de um polinômio Autor(es): Rufino, Francisco Sérgio Abstract: The present work addresses a problem proposed in 1854 by the Russian mathematician Pafnuty Chebyshev, regarding the Minor Variation of a Polynomial.This work aims to solve, by geometric means, the problem proposed by Chebyshev. To make this possible, we divided it into 3 chapters: We will present in the 1st chapter some important definitions and theorems in mathematics, which will facilitate the understanding of the resolution, as well as provide us with an appropriate theoretical basis for this purpose. In the 2nd chapter we will start by conceptualizing the Variation of a Polynomial and a specific notation for it, aiming at an easy understanding of what will be exposed. Soon after, the solution of the problem of Chebyshev itself, aided by graphical representations of the polynomials involved and more other theorems. Chapter 3 aims to define trigonometrically the Chebyshev polynomials of types Tn and Un, to present the calculation of the first polynomials and their respective graphical representations, their recurrence relations. 2019-01-01T00:00:00Z O reticulado inteiro e algumas aplicações http://www.repositorio.ufc.br/handle/riufc/50517 Título: O reticulado inteiro e algumas aplicações Autor(es): Euzébio, George da Costa Abstract: The present work has as main objective to present the Hurwitz Theorem about the approximation of irrational numbers through rational numbers using a constant associated with the root value of 5 for the approximations. For that, some knowledge about Number Theory, such as divisibility and modular congruences, as well as some theorems about prime and integer numbers that can be written as a sum of two squares, will be recalled. Subsequently, the lattice of the whole numbers and some of the properties of their points will be presented, as well as some geometric theorems about such points. In a last part, the Farey sequence will be developed together with the Ford circles, to present the theorems that guarantee the convergence of continuous fractions and, thus, the proof of Hurwitz's theorem. 2020-01-01T00:00:00Z 2048: uma abordagem matemática do jogo e sua aplicação em sala de aula. http://www.repositorio.ufc.br/handle/riufc/49258 Título: 2048: uma abordagem matemática do jogo e sua aplicação em sala de aula. Autor(es): Araújo, Renan Lima Abstract: This paper deals with the use of Game 2048 as an educational tool to arouse the interest in Mathematics of EEEP High School students Maria Carmem Vieira Moreira, located in the city of Maracanaú-CE, in order to improve learning and performance. We propose playful approaches to some of the Math content by linking them to the characteristics of the 2048 Game. Because it is an engaging, challenging game that requires a lot of concentration, strategy and reasoning, we have shown through assessments that a group of underperforming students in Math has improved average proficiency and heightened awareness of interest in the subject. 2019-01-01T00:00:00Z