27213 - Mathematical Analysis 2

Academic Year 2017/2018

  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: First cycle degree programme (L) in Astronomy (cod. 8004)

Learning outcomes

At the end of the course the student is familiar with the fundamental notions of the differential and integral calculus for functions of several variables and with related arguments (differential equations, linear integrals, etc). Moreover the student is able to use classical instruments from Mathematical Analysis in several different areas.

Course contents

Metric spaces and R^n. Differential calculus for functions of several variables. Differentiable manifolds in R^n. Differential equations and systems of differential equations. Curves in R^n, line integrals, vector fields. Guass, Green and Stoke's theorems. Measure theory in in R^2 and R^2. Basics on ODE.

During the course we will solve several exercices, with particular regard to questions related to astrophysics.

Readings/Bibliography

Theory: Dispense del Prof A. Venni, disponibili in fotocopie o in formato file.pdf

Bramanti - C.D. Pagani - S. Salsa, Analisi Matematica 2, Zanichelli, Bologna.

Exercices: Bramanti M.: Esercitazioni di Analisi Matematica 2 , Ed. Esculapio

Teaching methods

Lectures given by the Teacher.

Assessment methods

Written test followed (if appropriate) by oral test.

Teaching tools

Notes taken by the student during classes. Notes given by the Teacher.

Links to further information

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

Office hours

See the website of Maria Carla Tesi