Learning objectives
Give the bases of calculus for functions of one real variable
Prerequisites
Mathematics taught in high schools
Course unit content
Real numbers, elementary algebra, equations and inequalities. Functions and their graphs, elementary functions. The principle of induction. Maximum, minimum, supremum and infimum of sets of real numbers. Limits of sequences and of functions of a real variable. Continuity, derivatives, primitives and their properties. Integrals of continuous functions over intervals. Study of the graphs of functions of one real variable.
Full programme
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Bibliography
P. Marcellini, C. Sbordone: Calcolo, Liguori Editore
G. Prodi: Istituzioni di Matematica, Mc-Graw-Hill Italia
A. Nannicini, L. Verdi, S. Vessella: Note ed esercizi svolti di Calcolo 1, Pitagora Editrice
G. De Marco: Analisi Zero, Decibel-Zanichelli
A. Zaccagnini, M.G. Rinaldi: Esercizi per i corsi di Istituzioni di Matematica, Azzali Editore
Teaching methods
Lectures and exercises in the classroom
Assessment methods and criteria
Written and oral examination
Other information
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