Instructors:
S. Natesan and M.G.P. Prasad, Office: E 308/ E 207, Extn. 2613/2608
Policy of Attendance Attendance in all lecture and tutorial classes is compulsory. Students, who do not meet 75% attendance requirement will not be allowed to write the end semester examination. For attendance in the classes, attendance sheets will be circulated. Each student is expected to sign against his/her name only. In case, any student is found marking proxy for some other student, an appropriate disciplinary action will be taken on both students involved in the proxy matter. Random attendance will also be taken.
Power series solutions, Bessel functions, Modified Bessel functions, Legendre polynomial, Laguerre polynomial, Chebyshev polynomial, Hermite polynomials: recurrence relations, orthogonality. Concept and calculation of Green's function, Properties, Green's function method for ordinary and partial differential equations. Fourier Series, Fourier Cosine series, Fourier Sine series, Fourier integrals. Fourier transform, Laplace transform, Hankel transform, finite Hankel transform, Mellin transform. Solution of differential equations by integral transform methods. Construction of the kernels of integral transforms on a finite interval through Sturm-Liouville problem. Occurrence of integral equations, Regular and singular integral equations: Volterra integral equations, Fredholm integral equations, Volterra and Fredholm equations with different types of kernels.
Texts/References:
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Venue: 2204
Quiz I | 10 marks | |
Mid-semester Examination (Two hours exam) |
30 marks | |
Quiz II | 10 marks | |
End-semester Examination (Three hours exam) |
50 marks | |
Total | 100 marks |
No make up examinations will be held.
Recently updated on January 1, 2025.