Special functions of mathematical physics

General data

Course ID:	1100-2`AZiFS2
Erasmus code / ISCED:	11.102 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 of mathematical physics
Name in Polish:	Analiza zespolona i funkcje specjalne II
Organizational unit:	Faculty of Physics
Course groups:	Astronomy (1st level); Elective courses Astronomy, individual path; elective courses Physics (1st level); elective courses Physics (2nd cycle); courses from list "Selected Problems of Modern Physics" Physics, individual path; elective courses
ECTS credit allocation (and other scores):	(not available) 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:	Polish
Mode:	Blended learning
Short description:	Selected special functions and differential equations
Full description:	The course covers basic special functions and their applications to partial differential equations. Plan of the course 1. Gamma function 2. Differential equations in the complex domain and their singularities. 3. Hypergeometric equation and functions. 4. Bessel equation and functions. 5. Laplace and Helmholtz equation. 6. Orthogonal polynomials. 7. Classical orthogonal polynomials: Hermite, Laguerre, Jacobi and Legendre. 8. Spherical harmonics. Student's work load: Lectures: 30 h -- 2ECTS Exercise classes 30h -- 2ECTS Preparation for lectures: 30 h -- 1 ECTS Preparation for the exam: 30 h -- 1 ECTS
Bibliography:	1. E.T.Whittaker and G.N.Watson: A course of modern analysis, Cambridge Univ. Press 1962 2. J.Dereziński: Lecture notes https://www.fuw.edu.pl/~derezins/mmf-i.pdf https://www.fuw.edu.pl/~derezins/spec-func.pdf https://www.fuw.edu.pl/~derezins/bessel.pdf https://www.fuw.edu.pl/~derezins/mmf-iii.pdf
Learning outcomes:	Knowledge: Familiarity with basic special functions. Skills: Solving simple problems using the most frequent special functions Attitude: Appreciation of the beauty, depth and usefulness of special functions, especially in the context of applications to physics.
Assessment methods and assessment criteria:	written and oral exam
Practical placement:	does not apply

This course is not currently offered.

Course descriptions are protected by copyright.
Copyright by University of Warsaw.