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27210 - Mathematical Analysis 1

Academic Year 2018/2019

                
                        Docente:
                        Maria Carla Tesi
                    
                        Credits:
                        11
                    
                        SSD:
                        MAT/05
                    
                        Language:
                        Italian
                    
                        Teaching Mode:
                        Traditional lectures
                        
                            Campus:
                            Bologna
                        
                            Corso:
                            First cycle degree programme (L) in
                            Astronomy (cod. 8004)

                            Teaching resources on Virtuale

Learning outcomes

At the end of the course the student acquires the fundamental notions of differential and integral calculus for functions of one variable, and related topics. The student is able to manage classical instruments of Mathematical Analysis useful for related disciplines, such as physics and astronomy.

Course contents

Real and complex numbers. Metric spaces (basic theory): continuity. Elementary functions. Differential and integral calculus for real functions of one variable. Sequences and series. Taylor's series. Forier's series (basic theory).

Readings/Bibliography

C.D. Pagani - S. Salsa, Analisi Matematica 1 e 2, Masson, Milano

E. Lanconelli, Lezioni di Analisi Matematica 1 e 2, Pitagora, Bologna.

Teaching methods

Lectures and exercices given by the teacher.

Assessment methods

Written test followed (if positive) by oral discussion

Teaching tools

Lecture notes given by the teacher.

Links to further information

http://www.dm.unibo.it/~tesi/

Office hours

See the website of Maria Carla Tesi