Mathematics | University of Parma

Professor: - Marino BELLONI
Academic discipline: Analisi matematica (MAT/05)
Field: Formazione teorica avanzata
Type of training activity: Characterising

48 hours
of face-to-face activities

6 credits

hub:

course unit
in ITALIAN

lectures timetable unavailable

exam calls

Learning objectives

Knowledge and skill of learning
At the end of the learning activity the student should acquired knowledge and skills related to the essentials elements of the Mathematical Analysis through the examination of some selected results.
Ability to apply knowledge and understandingThrough the exercises done in the classroom, the student learns how to apply the theoretical knowledge acquired to solve concrete problems related to the topics discussed in the course.
Autonomy of judgement.
The student must be able to value the consistency and rightness of the results obtained by him or others.Communication skills.
The student should be able to communicate, in a clear and accurate way, mathematical contents related to the program, even outside of a purely applicative context. Classroom lessons and the dialogue with the teacher will improve the students's scientific vocabulary.
Learning skill.
The student after completing the course will be able to independently develop mathematical analysis topics and to arrange different sources to get an effective synthesis.

Prerequisites

- - -

Course unit content

Complements of real and complex analysis

Full programme

Complex numbers and the Foundamental Theorem of Algebra
The Fourier series with some classical examples.Elements of distribution theory.
The Stone-Weierstrass theorem.

Bibliography

Notes provided by the professor

Teaching methods

The course includes 4 hours of frontal teaching per week. During frontal lessons, in traditional mode, the
Topics will be formally and rigorously presented. These topics will be accompanied by significant examples and appropriate exercises.

Assessment methods and criteria

Learning is verified through a written work in which the student develops a topic agreed with the teacher (which may be different from the ones discussed in the course), followed by a seminar in which the student exposes the agreed topic.
The exam is passed when the written work explains correctly the agreed topic and the student exposes it with language skills and master it in all its aspects.

Other information