# 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:

 Goyal and Gupta, Integral Transforms.

 Sneddon, Integral Transforms.