|
1 |
Title of discipline |
Additional chapters on equations of mathematical physics |
|
2 |
Course of teaching |
4, specialty 1-31 03 01-01 Mathematics (research and production activities) |
|
3 |
Semester of teaching |
8 |
|
4 |
Number of credits |
4 |
|
5 |
Full name of lecturer |
Professor Korzyuk Viktor Ivanovich |
|
6 |
Objectives of the study disciplines |
The aim of discipline is to teach students to master the basic concepts of the theory of partial differential equations, mathematical methods of research and solving of the basic boundary value problems of mathematical physics. As a result of the study, the student should be able to: – investigate the correctness of the basic boundary-value problems for equations of mathematical physics; – use the methods of solving problems for the basic equations of mathematical physics. |
|
7 |
Prerequisites |
Mathematical analysis, algebra, geometry, ordinary differential equations, functional analysis. |
|
8 |
Content of discipline |
Classical solutions of mixed problems. Generalized solutions of boundary value problems for the Poisson equation. Strong solutions of the Cauchy problem and mixed problems. The study of methods of initial-boundary value problems for hyperbolic and parabolic equations. The study of methods for solving boundary value problems for elliptic equations. |
|
9 |
Recommended literature |
1. Tikhonov A.N., Samarskii A.A. Equations of Mathematical Physics. Moscow, 1977. 2. Korzyuk V.I. Equations of Mathematical Physics. Minsk, 2011. |
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10 |
Teaching Methods |
Problematic, communicative with elements of educational and research activity, controlled independent work. |
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11 |
Language of teaching |
Russian |
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12 |
Conditions (requirements), actual control |
– tests papers – colloquiums |
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13 |
Form of current certification |
Credit |