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28616 - Mathematical Analysis T-B

Academic Year 2019/2020

                
                        Docente:
                        Francesco Uguzzoni
                    
                        Credits:
                        6
                    
                        SSD:
                        MAT/05
                    
                        Language:
                        Italian
                    
                        Moduli:
                        
                            Francesco Uguzzoni
                            (Modulo 1)
                        
                            Cataldo Grammatico
                            (Modulo 2)
                        
                        Teaching Mode:
                        
                                    Traditional lectures (Modulo 1)
                                
                                    Traditional lectures (Modulo 2)
                                
                            Campus:
                            Bologna
                        
                            Corso:
                            First cycle degree programme (L) in
                            Mechanical Engineering (cod. 0927)

                            Teaching resources on Virtuale

Learning outcomes

The Student knows the methodological-operational aspects of mathematical analysis, with particular regard to the functions of several real variables and to differential equations, in order to be able to use this knowledge to interpret and describe engineering problems.

Course contents

Differential calculus for functions of several real variables with real and vector values. Complex numbers. Ordinary differential equations. Improper integrals for functions of one real variable. Numerical series. Integral calculus for functions of several real variables.

Readings/Bibliography

Barozzi, Dore, Obrecht, Elementi di Analisi Matematica vol. 1 e 2, Zanichelli, Bologna.

M. Bramanti - C.D. Pagani - S. Salsa, Analisi Matematica vol. 1 e 2, Zanichelli, Bologna.

Salsa - Squellati, Esercizi di Analisi Matematica vol. 1 e 2, Zanichelli, Bologna.

Bramanti, Esercitazioni di Analisi Matematica vol. 1 e 2, Esculapio.

Teaching methods

Frontal lectures and exercises.

Assessment methods

The examination consists of a written test consisting of exercises and theoretical questions related to the topics covered in the course. The student must demonstrate knowledge of the concepts explained in the course (in particular definitions and theorems) and know how to apply them to concrete cases. You need to go to the exam with a university card and an identification document. It is not permitted to keep books, notes, calculators, cell phones or other materials with you. To take the written test you must register on the list, in the indicated time window, via AlmaEsami [http://almaesami.unibo.it/]. For the examination test calendar, always refer to AlmaEsami.

Office hours

See the website of Francesco Uguzzoni

See the website of Cataldo Grammatico