3EC6A ADVANCED ENGINEERING MATHEMATICS I (Common to EC & EIC) |
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|---|---|
| Units | Contents of the subjects |
| LAPLACE TRANSFORM - Laplace transform with its simple properties, applications to the solution of ordinary and partial differential equations having constant co-efficients with special reference to the wave and diffusion equations. | |
| FOURIER SERIES & Z TRANSFORM – Expansion of simple functions in fourier series. Half range series, Change of intervals, Harmonic analysis. Z TRANSFORM - Introduction, Properties, Inverse Z Transform. | |
| FOURIER TRANSFORM - Complex form of Fourier Transform and its inverse, Fourier sine and cosine transform and their inversion. Applications of Fourier Transform to solution of partial differential equations having constant co-efficient with specialreference to heat equation and wave equation. | |
| COMPLEX VARIABLES - Analytic functions, Cauchy-Riemann equations, Elementary conformal mapping with simple applications, Line integral in complex domain, Cauchy;s theorem. Cauchy’s integral formula. | |
| COMPLEX VARIABLES -Taylor’s series Laurent’s series poles, Residues, Evaluation of simple definite real integrals using the theorem of residues. Simple contour integration. | |
Text/References:
1. Advanced Engineering Mathematics, Irvin Kreyszig, Wiley
2. Datta – Mathematical methods of science and engineering, Cengage Learning
3. Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Systems
Engineers, 3/e Croft, Pearson
4. O’neil – Advanced engineering mathematics, Cengage learning
5. Engineering Mathematics, T Veerarajan, TMH
6. Advance Engineering Mathematics, Potter, Oxford
7. Mathematical Methods, Dutta, D., New Age
8. Elementary Number Theory with applications: Thomas Koshy, 2nd Ed., Elsevier.
9. Engineering Mathematics III By Prof. K.C. Sarangi and others, Genius publications
10. Engineering Mathematics, Babu Ram, Pearson