Tamil Nadu Open University (TNOU) 2006 M.C.A COMPUTER ORIENTED NUMERICAL METHODS - Question Paper
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M.C.A. DEGREE EXAMINATION-JANUARY, 2006.
Second Semester
COMPUTER ORIENTED NUMERICAL METHODS
Time : 3 hours Maximum marks : 75
PART A (5 x 5- = 25 marks)
Answer any FIVE questions.
1. Convert the following into binary :
(a) 17.375.
(b) 0.2.
2. List some pitfalls in computing when computer arithmetic is used.
3. Solve the quadratic equation x2 - 5a: + 6 = 0 using Newton Raphson method.
4. Solve the following equations using Gauss seidal iterative method.
5. Explain the Lagrange's method of interpolation.
6. Fit a straight line for the table given below :
s: 1 2 4 5 6 8 9
y: 2 5 7 10 12 15 19
7. Explain numerical differentiation with an example.
PART B (5 x 10 = 50 marks)
Answer any FIVE questions.
8. Express the following binary numbers in decimal, octal and hexadecimal:
(a) 1011.1101
(b) 1110111.00111.
9. Find the smallest positive root of the following equation using secant method :
fix) = x3 ~ Sx2 + x + 1 = 0.
10. Explain the Gauss Elimination method.
11. Using the Least Square method fit a curve for /(*) :
x: 123456789 /(*) : 3 7 13 21 31 43 57 73 91
12. The population of a city in a census taken once in ten years is given below. Estimate the population in the years 1925, 1975 and 1984 :
Year: 1921 1931 1941 19511961 19711981
Population in 35 42 58 84 120 165 220 thousands :
13. Solve the following differential equations using Runge-Kutta method :
~ = 2xy, y(0) = 0.5 for 1 > x > 0. ax
14. Explain the Gaussian quadratic formula using a suitable example.
3 2050
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