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Week - 1 |
Some concepts from the theory of functions and operator theory |
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Week - 2 |
Fundamental equations of mathematical physics |
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Week - 3 |
Classification of quasi-linear differential equations of the second order |
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Week - 4 |
Basic boundary-value problems for the linear differential equations of the second order |
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Week - 5 |
Basic and generalized functions |
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Week - 6 |
Differentiation of the generalized functions |
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Week - 7 |
1. Midterm |
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Week - 8 |
Convolution of the generalized functions |
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Week - 9 |
Fourier transform of the generalized functions of slow increase |
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Week - 10 |
Fundamental solutions of linear differential operators |
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Week - 11 |
Wave potential, Cauchy problem for the wave equation
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Week - 12 |
Propagation of the waves |
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Week - 13 |
Cauchy problem for the equation of the thermal conductivity |
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Week - 14 |
Final Exam |