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Syllabus for Electronics and Communication Engineering (EC)

Engineering Mathematics

Linear Algebra:

Matrix Algebra, Systems of linear equations, Eigen alues and eigen ectors!

Calculus:

Mean alue theorems, "heorems of integral calculus, Ealuation of de#nite

and im$ro$er integrals,

%artial &eriaties, Maxima and minima, Multi$le integrals, 'ourier series! ector

identities, &irectional

deriaties, Line, Surface and olume integrals, Stoes, *auss and *reen+s

theorems!

&ierential equations:

'irst order equation (linear and nonlinear), -igher order linear dierential

equations .ith constant

coe/cients, Method of ariation of $arameters, Cauchy+s and Euler+s

equations, 0nitial and boundary

alue $roblems, %artial &ierential Equations and ariable se$arable method!

Com$lex ariables:

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Analytic functions, Cauchy+s integral theorem and integral formula, "aylor+s and

Laurent+ series, 1esidue

theorem, solution integrals!

%robability and Statistics:

Sam$ling theorems, Conditional $robability, Mean, median, mode and standard

deiation, 1andom

ariables, &iscrete and continuous distributions, %oisson, 2ormal and 3inomial

distribution, Correlation

and regression analysis!

2umerical Methods:

Solutions of non4linear algebraic equations, single and multi4ste$ methods for

dierential equations!

"ransform "heory:

'ourier transform, La$lace transform, 54transform!

Electronics and Communication Engineering

2et.ors:

2et.or gra$hs: matrices associated .ith gra$hs6 incidence, fundamental cut

set and fundamental

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circuit matrices! Solution methods: nodal and mesh analysis! 2et.or

theorems: su$er$osition,

"heenin and 2orton+s maximum $o.er transfer, 7ye4&elta transformation!

Steady state sinusoidal

analysis using $hasors! Linear constant coe/cient dierential equations6 time

domain analysis of

sim$le 1LC circuits, Solution of net.or equations using La$lace transform:

frequency domain analysis

of 1LC circuits! 84$ort net.or $arameters: driing $oint and transfer functions!State equations for

net.ors!

Electronic &eices:

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