Pandit S.N. Shukla University, Shahdol (M.P) M.Sc. MATHEMATICS SEMESTER-IV Paper IV -Integral Transforms -II Syllabus

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.





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