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TAMIL NADU OPEN UNIVERSITY MCA - I (SEM 2) JUN 2009 : Computer Oriented Numerical Method

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ws8 MCA-418 MCA 08 M.C.A. DEGREE EXAMINATION JUNE 2009. Second Semester/First Year COMPUTER ORIENTED NUMERICAL METHODS Time : 3 hours Maximum marks : 75 PART A (5 5 = 25 marks) Answer any FIVE questions. 1. Describe the different forms that the numbers in the computer word can be stored. 2. Use the secant method to determine the root of the equation cos x xe x 0. 3. Describe the Gauss-Jordan method. 4. Compare direct simultaneous equations. and iterative methods of ws8 5. The population of a town is as follows : Year 1941 Population (in lakhs) : 1951 1961 1971 1981 1991 20 24 29 36 46 51 Estimate the population during the period 1976. 6. Compute the truncation error in Trapezoidal rule. 7. Given y of y at x y and y ( 0) 1 , determine the value 0.01 and 0.02 by Euler method. PART B (5 10 = 50 marks) Answer any FIVE questions. 8. Find the positive root of x 3 x 1 correct to 4 decimal places by bisection method. 9. Find an iterative formula to find the reciprocal of 1 a given number N and hence find the value of . 19 10. 3x Apply Gauss-Elimination method to solve 4 y 5z 18; 2x y 8z 13, 5x 2 y 7z 20 . 11. Solve by Gauss-Seidel method, the following system : 28x 4y z 52, x 3y 10z 2 24; 2x 17 y 4z 35 MCA-418 ws8 12. The population of a town in the census was given below. Estimate the population for the year 1895 and 1925 : Year : 1891 1901 1911 1921 1931 Population (in thousands) 13. 46 66 81 93 101 By dividing the range into ten equal parts, evaluate sin x dx by Trapezoidal rule and Simpson s 0 1/3 rule. 14. Using Taylor series method, find y at x dy given x 2 y; y ( 0) 1 . dx .1 (.1) .4 3 MCA-418

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Additional Info : Mca - I (sem 2) June 2009 Question Paper - Computer Oriented Numerical Method
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