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UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN MATHEMATICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)
SYLLABUS
Semester VI - Application Oriented Subject II - Special Functions II
Partial Differential equations-Definition and example.
Transverse vibration of a string- Solution of wave equations by separation of variables-Displacement expressed in Fourier series.
One dimensional heat flow - Heat Equation and it's solution.
Two dimensional heat flow (steady state only)
Laplace equation in two dimensions and its solutions.
Temperature, distribution in rectangular plates.
Laplace's equation in polar coordinates and it's solution,
Temperature distribution in circular annulus.
Laplace transform method of solving partial differential equation.
Book for Reference:
1. Advanced Calculus for application - F.B.hlder Brandt
2. Differential Equations - Diwan and Agashe
3. Mathematics for Engineers and Physicists-louis Rpes
4. Mathematics for Engineers-Sckolnikoff
5. Alaigal-T.R.Balalkrishnan, Tamil Nadu Test Book Society
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