Mahatma Gandhi University (MGU) 2007 B.Tech Electronic Instrumentation & Control Engineering engineering mathematics-III - Question Paper

ENGINEERING MATHEMATIS-III
ELECTRONICS AND INSTRUMENTATION
FOURTH SEMESTER

MODULE 1
ORDINARY DIFFERENTIAL EQUATIONS
Linear differential equations with constant coefficients-finding P.I by the method of variation of parameters –Cauchy’s equations-linear simultaneous equations-simple applications in engineering issues

MODULE two
Partial differential equations –formation by eliminating arbitrary constants and arbitrary functions- solution of LaGrange linear equations –char pits method –solution of homogenous linear partial differential formula with constant coefficients- solution of 1 dimensional wave formula and heat formula using method of separation of variables-Fourier solution of 1 dimensional wave formula

MODULE 3
FOURIER TRANSFORMS
Statement of Fourier integral theorems –Fourier transforms-Fourier sine & cosine transforms-inverse transforms-transforms of derivatives-convolution theorem –parietals identity-simple issues

MODULE four
PROABILITY AND STATISTICS

Binomial legal regulations of probability- the binomial distribution ,its mean and variance –Poisson distribution as a limiting case of binomial distribution –its mean and variance –fitting of binomial & Poisson distributions –normal distribution –properties of normal curve-standard normal curve –standard normal curve-simple issues in binomial ,Poisson and normal distributions

MODULE 5
POPULATION & SAMPLES
Sampling distribution of mean –sampling distribution of variance, F and CHI square test –level of significance –type I and kind II errors –test of hypothesis –test of significance for large samples- test of significance for single proportion ,difference of proportions, single mean and difference of means

REFERENCES

1. HIGHER ENGINEERING MATHEMATICS B.S GREWAL
2. ENGINEERING MATHEMATICS VOL II M.K VENKATARAMAN
3. ELEMENTS OF PARTIAL DIFFERENTIAL
EQUATIONS IAN N. SNEDDON
4. MILLER AND FREAD’S PROABILITY
& STATISTICS FOR ENGINEERS RICHARD A JOHNSON
5. ADVANCED ENGG.MATHEMATICS ERWIN KREYSZIG
6. PROABILITY & STATISTICAL INTERFERENCES HOGG & TANIS

Earning:   Approval pending.