ELEMENTARY MATHEMATICS
Stampa
Enrollment year
2018/2019
Academic year
2018/2019
Regulations
DM270
Academic discipline
MAT/04 (COMPLEMENTARY MATHEMATICS)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Course
MATHEMATICS
Curriculum
PERCORSO COMUNE
Year of study
Period
1st semester (01/10/2018 - 18/01/2019)
ECTS
6
Lesson hours
48 lesson hours
Language
Italian
Activity type
WRITTEN AND ORAL TEST
Teacher
MARACCI MIRKO (titolare) - 6 ECTS
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, real functions of one real variables, elementary probibility.
Learning outcomes
The course aims at introducing students to themes from diverse fields of mathematics (arithmetics, geometry, analysis and probability), chosen for their possible connections with the content tauhgt in secondary schools. The main objective is to provide tools for reflecting upon these themes in a critical way (even) from a didactical perspective.
Course contents
Numeration systems.
Geometrical transformations of the Euclidean plane and space from a synthetic point of view.
Introduction to iperreal numbers and non-standard analysis.
Different approaches to probability: classical, frequentist and subjectivist interpretation of probability.
Teaching methods
Interactive lessons, which will introduce the contents of the course and during which theoretical and meta-theoretical issuses will be discussed, and problem-solving sessions.
Reccomended or required readings
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.

Kiesler, H.J. Foundations of infinitesimal calculus, 2007.

Didactical material made available by th teacher
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 at assessing the level of knowledge of the contents of the course and the ability to autonomously re-elaborate these contents.
Further information
Sustainable development goals - Agenda 2030