Academic Year 2023-2024

CALCULUS

Teachers

Gianluca Gorni
Davide Liessi
Course Year
1
Unit Credits
12
Teaching Period
Second Period
Course Type
Supplementary
Prerequisites. The mathematics taught in most high schools.
Teaching Methods. Lectures and exercises.
Verification of Learning. Written examination with calculus exercizes and oral examinations on theory only.
More Information. The teacher’s web site: http://www.dimi.uniud.it/gorni/Analisi1.

The course can be held in English, under proposal by the competent teaching structure.

Objectives
The basics of calculus, with some stress on mathematical rigour.

https://www.uniud.it/it/didattica/info-didattiche/regolamento-didattico-del-corso/l-internet-things-big-data-machine-learning/all-B2

Contents
Basics of real numbers: algebraic and order properties. The induction principle. Lower and upper bounds, supremum and infimum. The concept of limits and its variants. Definition of derivatives and properties of derivable functions. The integral.
Texts
McGraw-Hill e-book entitled Analisi Matematica, Custom Publishing McGraw-Hill, Prof. Gianluca Gorni, M. Bertsch, R. Dal Passo, L. Giacomelli, ISBN: 9781308323664. The e-learing site and the teacher’s personal site contain more material.