AIMS AND CONTENT

LEARNING OUTCOMES

Concepts and methods of calculus concerning functions of several variables, Fourier series, and functions of a complex variable.

AIMS AND LEARNING OUTCOMES

Students will acquire the basic tools of mathematical analysis for functions of several real variables, the ability to construct and study the convergence of Fourier series, and the skills to analyse analytic functions of a complex variable. In detail, the topics covered include: 1) differential and integral calculus for functions of several variables, line and surface integrals; 2) Fourier series and their convergence, calculation of Fourier coefficients; 3) analytic functions of a complex variable, Cauchy’s integral formula, the fundamental theorem of calculus, residues, calculus and applications.

TEACHING METHODS

Frontal lecture. Working students or students who have special needs are advised to contact the teacher, at the beginning of the course, so as to establish methodologies consistent with the individual learning methods.

Students who hold valid certificates relating to Specific Learning Difficulties (SLD), disabilities or other educational needs are invited to contact the lecturer and the school’s disability liaison officer at the start of the course to agree on any teaching arrangements which, whilst respecting the course objectives, take into account individual learning styles. 

The contact details for the university’s disability liaison officer are available at the following link: https://unige.it/commissioni/comitatoperlinclusionedeglistudenticondisabilita. 

SYLLABUS/CONTENT

Line integrals, surface integrals, multiple integrals. Differential calculus for functions of several variables. Fourier series: proof, calculation of coefficients, series with a general period. Analytic functions of a complex variable: Cauchy–Riemann conditions, Cauchy’s theorem, the fundamental theorem of algebra, residues and applications to integrals of functions of a real variable.

RECOMMENDED READING/BIBLIOGRAPHY

Lecture notes provided by the teacher.

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

https://easyacademy.unige.it/portalestudenti/index.php?view=easycourse&_lang=it&include=corso

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The examination is conducted orally. Students with learning disorders will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate, of the Engineering courses, in the committee for the Inclusion of Students with Disabilities.

ASSESSMENT METHODS

The oral examination is designed to assess students’ proficiency in the concepts covered. In particular, it assesses their proficiency in the theoretical concepts and methods covered in the course, as well as their ability to solve problems.

FURTHER INFORMATION

Students with valid certifications for Specific Learning Disorders (SLD) may request accommodations for exams at least 7 days prior to the exam date by filling out the “accommodation request form” (available via online services at https://modulionline.unige.it/richiesta-adattamenti# no-back), which will be automatically forwarded by the system to the instructor in charge of the course and to the faculty liaison for students with disabilities and SLDs in their School/Department. 

The student will receive a copy of their request.