Rigorous mathematical reasoning and understanding of the main concepts in differential and integral calculus of a single real variable.
The course consists of lectures and practice. Several intermediate tests are provided .
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)
CLAUDIO CARMELI
RANIERI ROLANDI
MAURIZIO SCHENONE
MATHEMATICAL ANALYSIS
Final examination consists of a written and an oral exam.
Pre-requisites :
Good knowledge of high school mathematics.
