The present work aims to develop the requirements for a study in singularity theory. To achieve this, it will address concepts of linear algebra, calculus, n-dimensional smooth manifolds, tangent space, germs of smooth ...

The presented research will focus on the construction of real numbers (R) through Dedekind cuts its use in education, with experiences in high school classes at a public school in São Carlos. The overall objective of the ...

This monograph consists of a study on some fundamental concepts of Measure Theory, such as σ-algebras and measure. In this way, the concepts and properties of algebras and σ-algebras will be seen, as well as the types of ...

In the field of large-scale assessment in the Portuguese language, the National High School Exam (ENEM) is a nationally recognized exam that evaluates students’ performance at the end of basic education. Unlike other ...

This paper clearly presents how Linear Algebra is fundamental in digital image processing, an area that emerged along with technological advances and image transmission techniques to facilitate their visualization and ...

This monograph focuses on demonstrating and understanding the geometric motivation of the Gauss-Bonnet Theorem. To this end, the project initially envisages the study of differentiable manifolds, tangent space, cotangent ...

Markov chains have a range of applications within modeling, and due to their importance, are greatly studied in the literature. Herein, the objective of this paper is to study first-order Markov chains, presenting the ...

During an intense process of curriculum reformulation following the approval of the National Common Core Curriculum (Base Nacional Comum Curricular (BNCC)), this monography seeks to understand the main changes for a secondary ...

This work aims to present a proposal for teaching Knot Theory through magic tricks and games with yarn, introducing mathematical concepts in a playful way in Basic Education. Initially, there will be a contextualization ...

In this work, the aim is to provide a reflection on symmetry in Basic Education, emphasizing the relevance of the dialogue between Symmetry and Art for the teaching and learning process. In order to achieve this goal, an ...