History of Mathematics

Cod: 21166

Department: DCET

Department: DCET

ECTS: 6

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 156

Total contact time: 26

Total contact time: 26

In this curricular unit we will study from both a historical and a technical point of view a selection of mathematical methods from a set of civilizations and historical periods resumed in the syllabus.

History

Mathematics

Mathematics

The student is expected the develop an understanding both practical and historical of the origins of the mathematics of our time. With regard to each concept the student is required on the one hand, to know both the relevant historical characters and the social and historical context surrounding them, and, on the other hand, to be able to deal with the concept in a practical way, by executing the relevant calculations and proofs according to the methods of the time. In this way the student is expected to develop a better understanding of present mathematical concepts and techniques, by knowing their origin and the various forms they took until reaching their present state.

1- The Mathematics of Africa

2- The Mathematics of Egypt

3- The Mathematics of Mesopotamia

4- The Mathematics of China

5- The Mathematics of Greece

6- The Mathematics of Medieval India

7- The Mathematics of the Islamic Civilization

8- The Mathematics of Western Europe from centuries XII to XVI

9- The Origins of Analytic Geometry and the Infinitesimal Calculus

10- The Mathematics of Portugal

1- Maria Fernanda Estrada et al.: História da Matemática, Universidade Aberta, 2000

2- V.M.Seguí: Aspectos Históricos de las Matemáticas Elementales, Textos Docentes vol 79, Prensas Universitarias de Zaragoza, 2001

3- M. Kline, Mathematical Thought from Ancient to Modern Times, Oxford, University Press, 1972

2- V.M.Seguí: Aspectos Históricos de las Matemáticas Elementales, Textos Docentes vol 79, Prensas Universitarias de Zaragoza, 2001

3- M. Kline, Mathematical Thought from Ancient to Modern Times, Oxford, University Press, 1972

E-learning.

Continuous assessment is privileged: 2 or 3 digital written documents (e-folios) during the semester (40%) and a
presence-based final exam (p-folio) in the end of the semester (60%). In due time, students can alternatively choose to perform one
final presence-based exam (100%).