The course aims to develop the tools of Mathematical Analysis necessary to study and understand technical and scientific topics. These tools are introduced, developed and their main applications are illustrated.
The course provides the main concepts in differential and integral calculus of a single real variable, and it teaches students rigorous and reflective thinking
The course aims to introduce the tools of Mathematical Analysis and to provide examples of their application.
A good knowledge of basic mathematics such as that provided by a High School,
The course consists of lectures and practice.
Real number system. Elementary functions. Numerical sequences, recurrence sequences, fixed points.
Differential calculus of functions of one real variable. De l'Hopital rule and Taylor formula, Peano and Lagrange remainder.
Integral calculus: Riemann theory, integration techniques, primitive functions, fundamental theorem of Calculus, improper integrals.
Separable differential equations. Differential linear equations and systems of differential linear equations.
Course materials can be found at : http://web.inge.unige.it/DidRes/Analisi/AMindex.html
Ricevimento: From Tuesday to Thursday by appointment
OTTAVIO CALIGARIS (President)
MAURIZIO SCHENONE
CLAUDIO CARMELI (President Substitute)
EDOARDO MAININI (President Substitute)
DANILO PERCIVALE (President Substitute)
https://corsi.unige.it/10800/p/studenti-orario
Final examination consists of an oral exam.
The student must know the methods and tools used in class. It is required to be able to use the tools studied to solve problems. The quality of the exposure, the correct use of the specialized vocabulary and the reasoning skills contribute to the final evaluati
Pre-requisites :
Good knowledge of high school mathematics.
