ANALYSIS FROM AN ADVANCED STANDPOINT
cod. 1007153

Academic year 2020/21
1° year of course - Second semester
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

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

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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

Verification of learning takes place through 1) a written paper in which the student must answer some questions on topics and examples covered in the course; 2) a seminar on a topic agreed with the teacher, that the student will exhibit language properties by mastering it in all its aspects .

Other information

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