MSM4101 - Integral Transforms

HNGU M.SC. MATHEMATICS SEMESTER - I 

MSM4101 – INTEGRAL TRANSFORMS

Unit 1: 

• Laplace transform- Definition and its properties. 
• Rules of manipulation. 
• Laplace transform of derivatives and integrals.

Unit 2: 

• Properties of inverse Laplace transform. 
• Convolution theorem. 
• Complex inversion formula.

Unit 3: 

• Fourier transform - Definition and properties of Fourier sine, cosine 
• Complex transforms.

Unit 4: 

• Convolution theorem. 
• Inversion theorems. 
• Fourier transform of derivatives. 
• Mellin transform-Definition and elementary properties.
• Mellin transforms of derivatives and integrals.
• Inversion theorem.
• Convolution theorem.

Reference Books:

1. The Fourier Transforms and its applications - Ronald Bracewell.

2. Schaum’s outline of Fourier analysis with applications to Boundary value problems - Murray Spiegel

3. The Laplace Transform: Theory and applications - Joel L. Schiff.

4. Schaum’s outline of Laplace Transforms, by Murray Spiegel.

OLD Question Paper
April/May - 2018	Download
Nov/Dec - 2019	Download