Unit HISTORY OF MATHEMATICS I

Course
Mathematics
Study-unit Code
55A00102
Curriculum
Didattico-generale
Teacher
Nicla Palladino
Teachers
  • Nicla Palladino
Hours
  • 42 ore - Nicla Palladino
CFU
6
Course Regulation
Coorte 2021
Offered
2022/23
Learning activities
Affine/integrativa
Area
Attività formative affini o integrative
Academic discipline
MAT/04
Type of study-unit
Opzionale (Optional)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
italiano
Contents
The Elements of Euclid; Descartes; development of logarithms; Bombelli; natural numbers; real numbers; analytic geometry;
the origins of the infinitesimal calculus.History of polygons and polyhedra
Reference texts
Gli Elementi di Euclide-edizione U.T.E.T.
La Geometria di Cartesio-edizione U.T.E.T.
C. B. Boyer Storia delle matematiche, Mondadori. Varie edizioni in italiano.
Morris Kline, Storia del pensiero matematico, Einuadi Editore, 1991.
Educational objectives
The course aims to facilitate the acquisition of a historical vision of some significant moments in the development of mathematics. The evolution of some of the main concepts, methods and theories is presented. As didactic purpose, we propose to educate to the identification and understanding of epistemological obstacles emerged in the arrangement of some mathematical concepts over the centuries, providing adequate tools to overcome them.
Prerequisites
no particular prerequisites
Teaching methods
Frontal lesson, workshops, use of original texts
Other information
Further materials and references will be provided during the lessons and made available on Unistudium
Learning verification modality
Oral exam on the whole program of the course. Critical and in-depth treatment of a particular topic. The final test aims to assess whether the student has knowledge and understanding of the topics, has acquired interpretative competence and autonomy of judgment. The following grid will be used for the evaluation:
Insufficient: The student does not have an acceptable knowledge of the topics covered in the teaching.
18-20: The student shows knowledge and understanding of the topics in general lines; you have just adequate expository and communication skills to allow the transmission of acquired knowledge useful for professional training purposes
21-23: Student shows adequate knowledge and understanding of topics; you have satisfactory expository and communication skills, but little
articulated, to allow the transmission of the acquired knowledge for the purposes of professional training
24-26: The student shows a fair knowledge and understanding of the topics; has discrete and barely articulated expository and communication skills, to allow the transmission of acquired knowledge for the purposes of professional training
27-29: Student shows good knowledge and understanding of topics; has good and well-articulated expository and communication skills, a
allow the transmission of the knowledge acquired for the purpose of professional training
30-30 cum laude: The student shows excellent knowledge and understanding of the topics; has excellent and well-articulated expository and communication skills, to allow the transmission of acquired knowledge for the purposes of professional training.
The duration of the interview can vary between about 30 and 45 minutes. See also http://www.unipg.it/disabilita-e-dsa
Extended program
The Elements of Euclid: books I, II, V; Descartes: La Geometrié; development of logarithms; Bombelli; natural numbers; real numbers; analytic geometry: Cartesio and Fermat;
the origins of the infinitesimal calculus: Newton and Leibnitz. History of polygons and polyhedra: from Middleage to Kepler
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