Mg university B.tech syllabus S5 Electrical & Electronics
Module 1
Complex Integration: Line integral – Cauchy’s integral theorem – Cauchy’s
integral formula – Taylor’s series – Laurent’s series – Zeroes and singularities –
residues – residue theorem – evaluation of real integrals using contour integration
involving unit circle and semi circle.
Module 2
Numerical Solution of algebraic and transcendental equations: Successive
bisection method – Regula – Falsi method – Newton – Raphson method – solution
of system of linear equation by Jacobi’s iteration method and Gauss – Sidel
method.
Module 3
Numerical solution of Ordinary Differential Equations: Taylor’s series method –
Euler’s method – Modified Euler’s method – Runga – Kutta method (IV order)
Milne’s predictor-corrector method.
Module 4
z - Transforms: Definition of z – transforms – properties – z-transform of polynomial functions – trigonometric functions, shifting property, convolution property – inverse transform – solution of first and second order difference equations with constant coefficients using z-transforms.
Module 5
Linear Programming: Graphical solution – solution using simplex method (nondegenerative only) – duality in LPT – balanced TP – Vogel’s approximation method – Modi method.
References
1. Advanced Engg. Mathematics: Erwin Kreyszig, Wiley Eastern.
2. Numerical Methods in Engg. and Science : Grawal B. S, Khanna Publ.
3. Higher Engg. Mathematics: Grawal B. S, Khanna Publ.
4. Numerical Methods in Science and Engg.: M. K Venkataraman, National
Publishing Co.
5. Quantitative techniques: Theory and Problems: P.C Tulsian and Vishal
Pandey, Pearson Education Asia
6. Complex Variable and Applications: Churchill and Brown, McGrawHill
7. Engineering Mathematics Vol.3: S.Arumugam, A.T Issac and
A.Somasundaram, Scitech Publ.
8. Advanced Mathematics for Engineering students Vol-3: S. Narayanan, T.K.M
Pillai & G. Ramanaiah, S.Viswanathan Printers & Publ.
9. Operations Research: Paneer Selvam, PHI
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