Partial Differential Equations of Mathematical Physics

Major: Applied mathematics and computer science
Code of subject: 6.113.00.O.057
Credits: 6.00
Department: Applied Mathematics
Lecturer: D.Sc., Professor Bogdan M. Markovych
Semester: 5 семестр
Mode of study: денна
Learning outcomes: • to know classification of linear differential equations with partial derivatives of the second order; setting of basic physical problems that lead to such equations; methods of solving these problems; • to be able to formulate mathematical models of basic physical problems and solve them; • to be aware of using the basic concepts of equations of mathematical physics in various fields of knowledge and in the disciplines of their professional purposes.
Required prior and related subjects: Prerequisites: • mathematical analysis, • algebra and geometry, • theory of functions of a complex variable, • differential equations; Co-requisites: • numerical methods of mathematical physics.
Summary of the subject: Linear differential equations with partial derivatives of the second order, mathematical models of physical problems, method of characteristics, method of separation of variables, integral transformations, boundary value problems, Green's function, potential theory.
Assessment methods and criteria: • practical classes, oral interviews, tests (30%) • final control (70%): combined written and oral exam
Recommended books: 1. Markovych B. M. Rivnyannya matematychnoyi fizyky. –L'viv: Vydavnytstvo Natsional'noho universytetu «L'vivs'ka politekhnika», 2010. –384 s. 2. Tikhonov A. N., Samarskiy A. A. Uravneniya matematicheskoy fiziki. –M.: Nauka, 1977. –736 s. 3. Arsenyi V. Ya. Matematicheskaya fizika. Osnovnye uravneniya i spetsial'nye funktsii. –M.: Nauka, 1966. –368 s. 4. Perestyuk M. O., Marynets' V. V. Teoriya rivnyan' matematychnoyi fizyky. –K.: Lybid', 2001. –336 s.