Insegnamento mutuato da: - ANALISI MATEMATICA Corso di Laurea in INGEGNERIA GESTIONALE
Teaching Language - Last name/s E-N
Course Content - Last name/s E-N
Real and complex numbers
Functions of one variable
Numerical sequences and series.
Elements of point set topology
Functions of several variables
Partial and directional derivatives, continuity and differentiability, free and constrained extrema.
Double and triple integrals
Line and surface integrals
Ordinary differential equations
Method of separation of variables and linear equations
Textbooks recommended for exercises:
Benevieri P., Esercizi di Analisi Matematica, Ed. De Agostini.
Poggiolini L. e Spadini M., Esercizi e temi d'esame di Analisi Matematica II, Esculapio.
Marcellini P. - Sbordone C., Esercitazioni di Matematica 1, Liguori
Marcellini P. - Sbordone C., Esercitazioni di Matematica 2, Liguori
Salsa S. - Squellati A., Esercizi di Analisi Matematica 1, Zanichelli.
Salsa S. - Squellati A., Esercizi di Analisi Matematica 2, Zanichelli.
Other texts :
Bertsch M. - Dal Passo R. - Giacomelli L., Analisi Matematica, McGraw Hill, Milano 2007.
Giaquinta M. - Modica G., Note di Analisi Matematica. Funzioni di una variabile, Pitagora Editrice, Bologna 2005.
Giaquinta M. - Modica G., Note di Analisi Matematica. Funzioni di piu'
variabili, Pitagora Editrice, Bologna 2006.
Se also: http://www.dma.unifi.it/~pera
Learning Objectives - Last name/s E-N
Knowledge and understanding of both mathematical principles and the role of mathematical sciences as a tool for the analysis and the problem solving of mechanical engineering problems. Knowledge of the principles of computer science and the algorithmic and numerical approach to problems.
The training goal is the acquisition of a good disposition to the theoretical approach and to the logical-formal rigor through the elaboration of some concepts of differential and integral calculus in one and several variables, improving students' skills concerning calculation techniques.
Prerequisites - Last name/s E-N
Basic notions of high school mathematics courses. In particular: formal calculus, polynomials, algebraic equations and inequalities, elements of analytic geometry, and of trigonometry
Teaching Methods - Last name/s E-N
The course has two terms consisting in theoretical lectures alternated with tutorials.
Further information - Last name/s E-N
More information about the course is available at the following link http://www.dma.unifi.it/~pera
Type of Assessment - Last name/s E-N
The course has two parts. The exam is performed at the end of the second term. It consists in a written text and in a subsequent oral exam. At the end of the first term an intermediate not mandatory written test is performed.
The student has to develop capability in applying and understanding knowledge related to mathematical methods - with particular reference to differential and integral calculus, geometry, linear algebra, numerical calculation, linear programming, probability and statistics - to model, analyze and solve engineering problems, also with the help of IT tools.
Course program - Last name/s E-N
The detailed program of the course is available at the following link