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COMPLEMENTARY MATHEMATICS

Academic year and teacher
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Versione italiana
Academic year
2020/2021
Teacher
MARIA TERESA BORGATO
Credits
6
Didactic period
Primo Semestre
SSD
MAT/04

Training objectives

To provide knowledge on foundations of elementary mathematics. To present and apply software programs for the teaching of calculus.

Prerequisites

Basic knowledge of differential and integral calculus, algebra and geometry.

Course programme

Foundations of arithmetic: Peano's axioms; Natural numbers and set theory; Cardinal numbers. Foundations of geometry: The Cartesian model; Erlanger Programm.
Foundations of analysis: Eudoxus' theory of proportions; Dedekind's and Cantor's theories of the real numbers. Software for the teaching of calculus in secondary education (Derive, ...)

Didactic methods

Frontal lessons. Seminars. Laboratory activities with software for the teaching of calculus (Derive)

Learning assessment procedures

Oral exam. Computer test on Derive.

Reference texts

Teacher's lecture notes.