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Syllabus for B.Tech (APPLIED ELECTRONICS AND INSTRUMENT ATI ON ENGINEERING) Up to Fourth Year

Rcvl$ed Syłabus ot B.Tech ASIE (for ihe student* wbo wereadmitted «n Academic Session 2010>201i|

111 SIO.MKM KR

Theory

NUMBRICAL METHODS Codę: M(CS) 301 Contacls: 2L+1T Credlts :2

Approximałiixi in numcrical computation: Truncation nnd rounding crrors. Fixcd and lloating-point orithmctic, Propagation ofcnrors.    (4)

luterpolation: Newton forwwd/backward uitcrpoblion. Lagrange'* and Newton'* divided diflercme Interpolalion.

C5)

Numerical integnilion: Tnąiezoidal nile, Sint>8an‘s 1/3 nile. lixpres*ion for ccrresponding error tóim (3)

Numcrical solulion ol'a system of lincar cquations:

Gauss climination mcthod. Matrix invcrsion, I.U Factonzation method, Gauss-Scidcl itcrativc mctliod.

(d)

Numcrical solulion of Algcbraic cąuatian:

Bisecticn method, Rcgula-Falsi mcthod. Ncwton-Raphson mcthod.    (4)

Numeri cal solulion ofordmary difTercntial etjuatioii: Euler'* mcthod, Rungc-Kutta methods. Predictor-Cocrcclor method* and Fmite OifTcrcnce method.    (6)

TexJ łlooks:

1.    C.Xavicr: C Lauguagc and Numcrical Methods.

2.    Dutta & Jana: Introductmy Numcrical Analysi*.

3.    J.B.Scarborough: Numcrical Mathcmatical Analysis,

•I. Jam. lyengar. & Jain: Numcrical Methods (Problem* and Sołutionl.

Refcraiccs:

I Balngnnisamy Numcrical Methods. Scitcch.

1 Baburam Numerical Methods. Peamon Education

3.    N. Dulla: Computer Prograiiuuiug & Numcrical Analysis. Universitics Press.

4.    Soumcn Guhu & Rajesh Srivustava: Numcrical Methods, OUP.

5.    Sriimuta Pal: Ntancrical Methods. OUP.

MAT H E MAT I CS Codę: M302 Contacls: 3L +1T - 4 Credlts: 4

Notę 1: I In* en tire syllabus lias heen dltlded Into roni modliłeś.

Noir 2: aiimlumŁfluaUał Ema

There will bc two groups In Ihe paper:

Group A: Ten questions. each of 2 niarks. are to be answered out of a total of 15 questions, covering the entire syllabus.

Group B: Flve questlons, eadi carrying 10 marks, are to be answered out of (at leasl) 8 qiicstions. Students sliould answer at least one questlon front each module.

|At least 2 questions sliould be set frotn each of Modules II & IV.

Al leasl 1 qnestlon sliould be set from each of Modules I & III. Suffident questions should be set covering the whole syllabus for alternatlves.|

Module I: Fourier Series & Fourier Iran sfor m |8L|

4