Navegando por Autor "Silva, Tarciana Maria Santos da"

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Cálculo Diferencial e Integral: Uma abordagem prática mediante o uso do Software Geogebra
(2019-12-20) Santos, Elizabeth Bispo dos; Silva, Tarciana Maria Santos da; http://lattes.cnpq.br/1650180237175460; http://lattes.cnpq.br/9799662711705928
This monograph has as its theme the use of Geogebra in the teaching of differential and integral calculus. To this end, we made a historical overview showing how the calculation has developed over the years as well as a manual on how to work the concepts of Derivative and Integral through Geogebra Software, making the approach of these contents more playful and current. In higher education, the teaching of differential and integral calculus is characterized as an abstract process, as it is new concepts for students. The difficulty of these disciplines is apparent from their abstraction and the need for graphical and algebraic representations which students find arduous. In view of this, a workbook for the use of Geogebra Software was developed in this work, with the objective of assisting teachers and academics in the contents of these subjects. The work addresses the main concepts of derivatives and integrals and then their graphical representations through Geogebra. Geogebra Software has great potential in helping classroom practices, as it provides new pedagogical approaches to teachers, positively influencing the posture and pedagogical practices of each teacher.
Introdução à compressão fractal de imagens através de sistemas de funções iteradas
(2023-05-12) Silva, Maria Fernanda Pires da; Silva, Tarciana Maria Santos da; http://lattes.cnpq.br/1650180237175460; http://lattes.cnpq.br/4722608617162314
The study object of this work is the fractal image compression method through systems of iterated functions. This technique consists of describing, through affine transformations, fractals that have a special characteristic: self-similarity. To understand this method of compression, we make a brief explanation about fractal geometry, start a study on linear transformations and define affine transformations in the plane. Then, we focus on the concepts of Metric Spaces necessary for understanding Banach’s Fixed Point Theorem, which is the key for the application of systems of iterated functions in the construction of self-similar fractals. We present the Hausdorff distance, as it is used in the compression of real images that have little or no similarity and, finally, we show the application in practice by building two very important fractals: the Sierpinski Triangle and the Sierpinski Carpet.