University of Delhi 2010-2nd Sem M.C.A 1st yr numerical computing UNIVERSITY - Question Paper
I liis question papei contains 1 printed pages
Yaw Roll \o
6263
M. Sc. Computer Science / II Sem.
MCS - 206 - Numerical Computing
(Admissions of 2009 and onwards)
j
lime 2houis Maximum Marks 50
(Write your Roll No on the top immediately on receipt of this question paper)
Attempt all questions Use of Scientific Calculator and Statistical 1 ables allowed
Denve the iterative formula(s) for solution of j(z) - 0 using Newtons method (7)
Approximate the following integral using Gaussian numerical integration tor n 3
| sin x e"'xtb
(U>c \ - 10 7746, H> = 0 5556, a - 0 0, * --- 0 8889) (6)
A
Find the first 3 iteratiot for the root of the equation -k\:2 -3x-3 , using the Secant method Use
! 50 & 2 000 as initial points (5)
Find the solution to the following system of equations using iteration method 6\ 2y -r- z ~\] x + 2v~5z - -1
- 2* + 7v-t 2z = 5
W
Approximate the following integral using Gaussian numerical integration for n ~~ 3
n i 2
Jmha e'\h (use x XO 7746, w 0 5556, 0 0, i-v 0 8KS9) (5)
Tind the linear least square approximation to f(x) = ex on [0,2] Compare the error with linear Tavlor polynomial about x0 -1 0 (6)
Sulve the following differential equation using Piedictor Collector ruler's method (i\>
~y~+x~ given y(\) -0. for v = 1 5 with h = 0 25 (6)
dx
Use Galei kin's technique to approximate the solution of d2y
-4- 3jt + 1; y( Q/-0 y(l)-0.
dx
using a quadratic in \ as the approximation function (7)
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