The main objective of this course completion work is to present the foundations of the Qualitative Theory of Ordinary Differential Equations, a branch of Mathematics that is considered one of the most applied. The present ...

The focus of this project is the introduction to the study of Fourier series. The Fourier series that emerged from the studies of Jean Baptiste Joseph Fourier on the heat equation is an important tool in solving certain ...

This monograph discusses plane and spatial geometry in order to investigate the approach of the topics of areas and volumes in selected textbooks, as well as to study the theoretical prerequisites and the Cavalieri's ...

The aim of this work is to present a mathematical introduction to the main concepts involved in Markowitz Theory. The portfolio selection developed by Markowitz shows the importance of asset portfolio diversification, ...

The aim of this study is to explore a central topic in financial mathematics: the internal rate of return. To this end, the study begins by introducing basic concepts of financial mathematics and their possible everyday ...

During the years from 1530 to 1576, there were great mathematical advances in Europe, one of the greatest being the great duel of the resolution of the cubic equations, fought between Niccolò Tartaglia and Gerolamo Cardano, ...

We address the teaching of area and volume calculations, employing axiomatic and elementary approaches. Furthermore, we study them through the Method of Slicing and the Principle of Cavalieri, as derived from Integration ...