Mahatma Gandhi University (MGU) 2007 B.Tech Electronic Instrumentation

ENGINEERING MATHEMATICS – IV
ELECTRONICS AND INSTRUMENTATION
FIFTH SEMESTER

MODULE 1
Complex integration: line integral – Cauchy’s integral theorem- Cauchy’s integral formula –Taylor’s series- Laurent’s series- zeros and singularities –residues –residue theorem-evaluation of real integrals using contour integration involving unit circle and semicircle

MODULE 2
Numerical solution of algebraic and transcendental equations: successive bisection method – regular fails method – Newton –rap son method –solution of system of linear equations by Jacobin’s iteration method and gauss –sidle method

MODULE 3
Numerical solution of ordinary differential equation: Taylor’s series method –Euler’s method –modified Euler’s method – rung cute method – Milne’s predictor corrector method

MODULE 4
Z-transforms: definition of Z transform- properties –Z transform of polynomial functions –trigonometric functions, shifting property, convolution property- inverse transform- solution of first &2nd order difference equations with constant coefficients using Z transforms

MODULE 5
Linear programming: graphical solution –solution using simplex method – BIG- M METHOD, 2 phase method –duality in L. P .P –balanced TP –Vogel’s approximation method – MODI method

REFERNCES

1. ADVANCED ENGG. MATHEMATICS ERWIN KREYSZIG
2. NUMERICAL METHODS IN ENGG&SCIENCE DR. B.S GREWAL
3. HIGHER ENGG. MATHEMATICS DR B.S GREWAL
4. COMPLEX VARIABLES & APPLICATIONS CHURCHILL & BROWN
5. OPERATIONS RESEARCH PANNEER SELVAN
6. ENGG.MATHEMATICS VOL III S. ARUMUGAM

Earning:   Approval pending.