Algebra in Action

• Grant number: 23/17046-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2024
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Claudemir Fideles Bezerra Júnior
• Grantee: Ana Carolina Montini Godoy
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM

Abstract

Linear Algebra plays a pivotal role in Exact Sciences, providing essential mathematical tools for the modeling, analysis, and optimization of complex systems. This research project aims to establish a solid theoretical foundation for the student Carol, enabling her to fully develop her mathematical potential and conduct rigorous research in her chosen field, despite not being directly related to mathematics. The main goal is to provide Carol with a profound understanding of mathematical concepts, emphasizing how this understanding can be directly applied to enhance the efficiency and optimization of processes in Chemical Engineering, the area she will delve into in the future. The project will specifically focus on introducing fundamental concepts from the Theory of Rings and Fields, as well as Linear Algebra. Thus, the development of the project not only seeks to enrich theoretical knowledge but also aims to foster the mathematical development of an engineering student. This investment in Carol's mathematical education will not only contribute to her academic success but will also strengthen her analytical skills and ability to apply mathematical principles practically and effectively in her future field of study.