MALAVIYA NATIONAL INSTITUTE OF TECHNOLOGY, JAIPUR.
DEPARTMENT OF MATHEMATICS
SYLLABUS
MAT-401
Mathematics III
3L-0T
3 credits
Laplace transforms: Laplace transforms of elementary functions, Laplace inverse
transformations, Heavisides’ unit step function, Dirac delta function, shifting
theorem,
transforms of derivatives and integrals, convolution theorem, Solution of ordinary differential
equation with constant coefficients and partial differential equations with special reference to
heat equation, wave equation and Poisson Equation
Fourier transforms: Fourier transforms, inverse Fourier transform, Fourier sine and cosine
transforms, Fourier integral formula.
Solution of second order PDE: By separation of variables method : Wave equation and
Diffusion equation in two dimension, Laplace equation in two & three dimensions, Poisson
equation(Cartesian coordinates).
Z- Transforms: Linearity, Z -Transform of elementary functions, shifting theorem, initial
and final value theorems, Convolution theorem, inversion of Z-Transforms, solution of
difference equations by Z- Transforms.
Text Books:
1. Larry S. Andrews, Integral Transforms for Engineers, Bhimsen K. Shivamoggi.
2. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley.
Books Recommended:
1. H.K.Dass, Advanced Engineering Mathematics, S.Chand.
2. .R.K.Jain and S R K Iyengar, Advanced Engineering Mathematics, Narosa .
3. Larry S. Andrews, Integral Transforms for Engineers, Bhimsen K. Shivamoggi.
4. B.V.Ramana, Higher Engineering Mathematics, McGraw – Hill.
5. T. Amarnath, Partial Differential Equation and its application, Narosa .
6. Sankara Rao, Introduction to Partial Differential Equations, Prentice Hall of India.