Pandit S.N. Shukla University, Shahdol (M.P) M.Sc. MATHEMATICS SEMESTER-IV Paper IV -Integral Transforms -II Syllabus
Theory Paper: Max. Marks- 42
Internal Assessment: Max. Marks- 08
Paper IV -Integral Transforms -II
Note: The question paper will consist of three sections A, B&C. Section A will consist of 7 Objective type questions each carrying I marks, section B will consist of 5 short answer type questions each carrying 3 marks and section C will consist of 2 long answer type questions each carrying 10 marks. Section B & C will have internal choice.
Unit 1- Application of Laplace Transform to Boundary Value Problems, Fourier series of infinite intervals.
Unit 2- Electric Circuits, Application to Beams, Finite fourier series.
Unit 3- The Complex Fourier Transform, Inversion formula, Fourier cosine and sine transform.
Unit 4- Properties of Fourier transforms, Convolution and Parseval's identity.
Unit 5- Fourier transform of the derivatives, Finite Fourier sine and cosine transform, Inversion, Operational and combined properties Fourier transform.
Recommended Books:
[1] Goyal and Gupta, Integral Transforms.
[2] Sneddon, Integral Transforms.
