Università degli Studi di Napoli "Parthenope"

Teaching schedule

Academic year: 
2020/2021
Teaching: 
Belonging course: 
Course of Bachelor's Degree Programme on COMPUTER SCIENCE, BIOMEDICAL AND TELECOMMUNICATIONS ENGINEERING
Location: 
Napoli
Disciplinary sector: 
MATHEMATICAL ANALYSIS (MAT/05)
Credits: 
3
Year of study: 
2
Teachers: 
Dott. FEO Filomena
Cycle: 
First Semester
Hours of front activity: 
24

Language

Italian

Course description

The aim of the course is the knowledge and understanding of basic concepts of Laplace transform and Fourier Transform.

Learning outcomes (declined compared with respect to the Dublin descriptors)

Knowledge and understanding. Knowledge of Laplace transform and Fourier Transform. The student will be able to state the basic definitions and to state and prove basic theorems.

Applying knowledge and understanding. The ability to understand the problems proposed during the course, the ability concerning a correct application of the theoretical knowledge. The student will be able to evaluate Laplace and Fourier transform of a function.

Making judgments. Develop the ability to critically evaluate the problems and propose the most appropriate approach.

Communication skills. Ability to report and present the results with a logical-deductive and synthetic exposition. He must be able to explain (even to non-expert people) the power of some applications of the mathematical tools described in the course, in the field of Engineering.

Ability to learn. Ability to develop, outline, summarize the contents from several sources, in order to achieve a broad overview of the problems connected to the topics discussed in the course. The student will also develop the skill of learning more advances techniques of Mathematical Analysis.

Prerequisites

The student has to know and to be able to use the tools introduced in Calculus I, especially differential calculus and integral calculus.

Syllabus

Preliminaries ( 6 hours of Lectures +2 hour of Exercise session)

Complex numbers and complex functions of real variable.

Laplace transform (6 hours of lectures+ 2 hours of Exercise session)

Definition of Laplace transform and main properties. Application to ODE.

Fourier transform (6 hours of Lectures + 2 hours of Exercise session)

Definition of Fourier transform and main properties.

Preliminaries ( 6 hours of Lectures +2 hour of Exercise session)

Complex numbers and complex functions of real variable.

Laplace transform (6 hours of lectures+ 2 hours of Exercise session)

Definition of Laplace transform and main properties. Application to ODE.

Fourier transform (6 hours of Lectures + 2 hours of Exercise session)

Definition of Fourier transform and main properties.

Teaching Methods

Lectures, exercise sessions and homeworks.

Textbooks

M. Bramanti - C.D. Pagani - S. Salsa, Analisi matematica 2, Zanichelli Editore

G.C. Barozzi, Matematica per l'Ingegneria dell'Informazione, Zanichelli

See
http://edi.uniparthenope.it/course/view.php?id=183

https://elearning.uniparthenope.it/course/view.php?id=1744

as well

Learning assessment

The objective of the exam is to check the level of achievement of the above-mentioned training objectives.

The exam is divided into two parts:
- A written test that aims to evaluate the ability to correctly use the theoretical knowledge acquired during the course to solve mathematical problems. The student who does not show sufficient mastery of the arguments is not admitted to the next test. The expected time is 2 hours.
- an oral test in which the ability to link and compare different aspects of the course will be evaluated.

The final vote takes into account the evaluation of both tests.

More information

Altre informazioni ALTRO 4000 Sì E' possibile contattare il docente all'indirizzo: filomena.feo@uniparthenope.it

Codice Teams
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Orario di ricevimento Mercoledì 14-15 The students can send an e-mail to filomena.feo@uniparthenope.it

Codice Teams
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Meeting time: Wednesday at 14-15