Enrollment year
2022/2023
Academic discipline
MAT/04 (COMPLEMENTARY MATHEMATICS)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Curriculum
PERCORSO COMUNE
Period
1st semester (29/09/2022 - 13/01/2023)
Lesson hours
48 lesson hours
Prerequisites
Mathematical knowledge and compentencies developed in the upper secondary schools and in the "laurea triennale" in mathematics, with specific regard to: arithmetic, basic concepts of plane and space geometry, real numbers, elementary probibility
Learning outcomes
The course aims to introduce students to topics from diverse areas of mathematics like arithmetics, geometry, probability), selected for their possible connections with the content taught in higher schools. The main objective is to provide tools for reflecting upon these topics in a critical way, also from a didactical perspective
Course contents
Numeration systems.
Geometrical transformations of the Euclidean plane and space from a synthetic point of view.
(If time allows, the
different approaches to probability: classical, frequentistic, logicistic, and subjectivist interpretations of probability.
Teaching methods
Lessons in lecture theatre
Reccomended or required readings
Notes made available by th teacher
Capelo, A.-C.; Ferrari, M. e Padovan, G. I sistemi di numerazione. CNR Quaderno n.7, Pavia, 1990.
Dedò, M. Trasformazioni geometriche. Decibel, Zanichelli, Bologna, 1996.
A.V. Akopyan, A.A. Zaslavsky: "Geometry of conics", AMS
G. Glaeser, H. Stachel, B. Odenhal: "The universe of conics", Springer.
Assessment methods
The achievement of the learning objectives will be ascertained through a written and an oral examination. The written examination will include mathematical tasks and open questions. The examinations will aim to assess the level of knowledge of the contents of the course and the ability to elaborate the contents autonomously .
Sustainable development goals - Agenda 2030