27210 - Mathematical Analysis 1

Course Unit Page

SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Quality education

Academic Year 2019/2020

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

For the theory:

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

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

M. Bertsch - R. Dal Passo - L. Giacomelli, Analisi Matematica, McGraw-Hill.

For the exercises:

M. Bramanti- Esercitazioni di Analisi Matematica 1, Esculapio.

Salsa - Squellati Esercizi di Analisi matematica 1, Zanichelli


Teaching methods

Lectures and exercices given by the teacher. All the work done in class is immediately made available on the platform IOL.

Assessment methods

Written test followed (if positive) by oral discussion. The written test in passed with a mark not less than 15/30. The final mark is based on the results obtained in both the written and the oral tests.

Teaching tools

All the lectures given by the teacher are available online on the platform IOL.


Links to further information

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

Office hours

See the website of Maria Carla Tesi