Prerequisiti. The mathematics taught in most high schools.
Metodi didattici. Lectures and exercises.
Modalità di verifica. Written examination with calculus exercizes and oral examinations on theory only.
Altre informazioni. The teacher’s web site: http://www.dimi.uniud.it/gorni/Analisi1
OBIETTIVI FORMATIVI
The basics of calculus, with some stress on mathematical rigour.
CONTENUTI
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.
TESTI DI RIFERIMENTO
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.
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