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Special functions

General data

Course ID:	1000-1M23FS
Erasmus code / ISCED:	11.1 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Special functions
Name in Polish:	Funkcje specjalne
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Elective courses for 2nd stage studies in Mathematics
ECTS credit allocation (and other scores):	6.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	elective monographs
Prerequisites (description):	Analysis I, II, RRZ, elements of complex analysis
Full description:	The course is devoted to the most important special functions and their applications to differential equations. Selected topics: Differential equations in the complex domain and their singular points. and Hypergeometric functions and equations. Confluent and Bessel equations and functions. Orthogonal polynomials. Classical orthogonal polynomials: Hermite, Laguerre, Jacobi and Legendre. Selected integral transformations. Multiple orthogonal polynomials. Non-linear special functions (elliptic, Painleve).
Learning outcomes:	Knowledge: Knowledge of basic special functions Skills: Solving simple tasks using the most common special functions. Attitude: Appreciating the beauty, depth, and usefulness of special functions.
Assessment methods and assessment criteria:	Exam or a project

Classes in period "Winter semester 2023/24" (past)

Time span:	2023-10-01 - 2024-01-28	Selected timetable range: weekly course term Navigate to timetable MO WYK-MON WYK-MON CW TU W TH FR
Type of class:	Classes, 30 hours more information Monographic lecture, 30 hours more information
Coordinators:	Galina Filipuk
Group instructors:	Galina Filipuk
Students list:	(inaccessible to you)
Examination:	Examination

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