Tamil Nadu Open University (TNOU) 2009-2nd Year B.C.A Computer Application .>>COMPUTER ORIENTED NUMERICAL METHODS>>E >> - Question Paper
B.C.A. DEGREE exam –
JUNE 2009.
Second Year
COMPUTER ORIENTED NUMERICAL METHODS
Time : three hours Maximum marks : 75
PART A — (5 x five = 25 marks)
ans any 5 ques..
1. How the numbers in the computer word can be stored?
2. Find the positive root of using bisection method, accurate to 1 decimal place.
3. Describe the Cramer's rule.
4. Solve by Jacobi iteration :
; .
5. Determine the interpolating polynomial for the data :
x : –1 0 1 3
f : 2 1 0 –1
6. Find the lowest squares approximation of 2nd degree for the discrete data :
x : –2 –1 0 1 2
f (x) : 15 1 1 3 19
7. Describe the Euler's method.
PART B — (5 x 10 = 50 marks)
ans any 5 ques..
8. Find the positive root of using Newton-Raphson method. accurate to four decimal places.
9. Solve by Gauss-Jordon method :
10. Solve by Gauss-Seidel method :
11. Derive the Newton's forward interpolation formula.
12. Using Lagrange's interpolation formula, obtain from the subsequent table :
x : 5 6 9 11
y : 12 13 14 16
13. Evaluate , accurate to 3 decimal places using Trapezoidal and Simpson's 1/3 rule with .
14. Given , where , where obtain and using RK IV order.
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B.C.A. DEGREE EXAMINATION
JUNE 2009.
Second Year
COMPUTER ORIENTED NUMERICAL METHODS
Time : 3 hours Maximum marks : 75
PART A (5 5 = 25 marks)
Answer any FIVE questions.
1. How the numbers in the computer word can be stored?
2.
Find the positive root of 
using
bisection method, correct to one decimal place.
3. Describe the Cramer's rule.
4. Solve by Jacobi iteration :
;
.
5. Determine the interpolating polynomial for the data :
|
x : |
1 |
0 |
1 |
3 |
|
f : |
2 |
1 |
0 |
1 |
6. Find the least squares approximation of second degree for the discrete data :
|
x : |
2 |
1 |
0 |
1 |
2 |
|
f (x) : |
15 |
1 |
1 |
3 |
19 |
7. Describe the Euler's method.
PART B (5 10 = 50 marks)
Answer any FIVE questions.
8.
Find the positive root of 
using
Newton-Raphson method. correct to 4 decimal places.
9. Solve by Gauss-Jordon method :
10. Solve by Gauss-Seidel method :
11. Derive the Newton's forward interpolation formula.
12. Using
Lagrange's interpolation formula, find 
from
the following table :
|
x : |
5 |
6 |
9 |
11 |
|
y : |
12 |
13 |
14 |
16 |
13. Evaluate
,
correct to three decimal places using Trapezoidal and Simpson's 1/3 rule with 
.
14. Given
,
where 
,
where 
find
and
using
RK IV order.
| Earning: Approval pending. |
