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.
