Roll No.
Total No. of Questions : 07
B.Sc. (IT)
(Sem.–4th)
COMPUTER ORIENTED
NUMERICAL METHODS
Subject Code :
BS-208
Paper ID : [B0416]
Time : 3 Hrs.
INSTRUCTION TO CANDIDATES :
1. Section-A is compulsory.
2. Attempt any four questions from section-B
3. Use of Non-Programmable scientific calculator is allowed
SECTION-A
Q.1.
(a) Define various types of errors in numbers.
(b) Define Simpson 1/3 with formula.
(c) Define Newton Rap son method with formula.
(d) Give example of arithmetic operations possible with
Normalized floating point
numbers?
(e) Explain polynomial regression of order 2 with example?
(f) Explain the concept of pivoting.
(g) What are the various ranges of coefficient of
correlation? Explain with their name.
(h) Define Normalized floating point representation of
numbers.
(i) Explain limitations of looting point representation.
(j) Explain Runga kutta fouth order method with formula.
SETION-B
Q.2. Find a rot of equation x3-2x-5 =0 between
(1.75, 2.5) by false position method up to 3 place of decimals
Q.3. Solve by Gauss elimination method
x1+x2+x3=3;
2x1+3x2+x3 =6; x1-x2-x3=-3
Q.4. Using Runga kutta fourth order find the solution of
differential equation
where it is given that when x=0,y=0
5. find regression equation Y on X for
the given data
X
|
1
|
2
|
3
|
4
|
5
|
y
|
9
|
9
|
10
|
12
|
11
|
6. Evaluate using Simpson 3/8 by taking h = 1/6
7.
By method of forward difference
estimagte the population of city in 1995
Year
|
1921
|
1931
|
1941
|
1951
|
1961
|
1971
|
1981
|
Population
In(000)
|
35
|
42
|
58
|
84
|
120
|
165
|
220
|
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