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1 |
Name of disciplines |
Equations of mathematical physics |
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2 |
Course of Study |
3, specialty 1-31 03 08 Mathematics and Information Technology |
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3 |
Semester of training |
5 |
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4 |
Amount of credits |
3 |
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5 |
Full name of lecturer |
Doctor of Physical and Mathematical Sciences, Professor Lomovtsev Fedor Egorovich |
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6 |
Objectives of the study
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Teach students to master the basic concepts of the theory of partial differential equations, mathematical methods of research and solution 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; |
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7 |
Prerequisites |
Mathematical analysis, ordinary differential equations. |
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8 |
Content |
Classification and reduction to the canonical form of partial differential equations of the second order. Derivation of the basic equations of mathematical physics. Statement of the basic boundary value problems. Hadamard correctness of boundary value problems. Basic methods of investigation and solution of the Cauchy problem and initial-boundary value problems for hyperbolic and parabolic equations. Basic methods for investigating and solving boundary value problems for elliptic equations. |
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9 |
Recommended |
1. Tikhonov A.N., Samarskii A.A. Equations of mathematical physics. Moscow, 2004. 2. Korzyuk V.I. Equations of mathematical physics. Minsk, 2011. 3. Lomovtsev F.E. Equations of mathematical physics. Collection of tasks. Minsk, 2009. |
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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 learning |
Russian |
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12 |
Conditions (requirements), |
– test papers |
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13 |
Form of current certification |
Exam |