University of Delhi 2010-2nd Sem M.C.A 1st yr Numerical Computing -2 UNIVERSITY - Question Paper

1 his question paper contains } printed pages

} our Roll No

6263

M. Sc. Computer Science / II Sem.

MCS - 206 - Numerical Computing

(Admissions of 2009 and onwards)

j

Maximum Marks .50

(Wi He your Rot I No on the top immediately on receipt of this question paper) Attempt all questions Use of Scientific Calculator and Statistical Tables allowed.

Derive the iterative formula(s) foi solution of f(z) = 0 using Newton's method Approximate the following integral using Gaussian numerical integration for n =- 3

(u*e \ - xO 7746, -= 0 5556, x = 0 0, w0 8889)

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Find the firt 3 iteratior for the root of the equaisonx +x -3jc-3, using the Secant method I 500 & 2 000 a*> initial points

Find the solution to the following bystem of equations using iteration method M -2-r-z = 11

x + 2? -5z -~\

- 2x +- 7y + 2z - s

Approximate the following integral using Gaussian numerical integration for n = 3

t/

Find the linear least square approximation to f{x) = e^x on(0,2j. Compare the error with Tavlor polv normal about v₀ -1 0

Solve the following dilYeiential equation u>ing Predictor Correctoi Fulefs method dv

--_yr + v given v(\j-V torv = 1 5 with/? = 0 25.

ax

U<e Galerkin's technique to approximate the solution of -Or f 1, y(i)J-Q v( 1) 0

civ

u>mg a quadiattc in * as the approximation function

Attachment: university-of-delhi-2010-m-c-a--35545-1.pdf

Earning:   Approval pending.