Computer Oriented Numerical Methods (BCA) 3rd Sem Previous Year Solved Question Paper 2022

Prepare for your BCA 3rd semester exam with Jetty Study’s solved question paper on computer oriented numerical methods. Learn the concepts and techniques of numerical analysis, interpolation, differentiation, integration, and linear equations.

1. What is normalized floating point number ? Explain various arithmetic operations with Normalized Floating Point Numbers, by taking examples.

2. How a floating point number is stored in the memory of a computer ? Explain by taking suitable example.

3. Differentiate between 1’s complement representation and 2’s complement representation of numbers by taking examples.

4. Solve x^3 -5x +3=0 by Regula-Falsi Method.

5. Use the bisection method to approximate the value of √3 given that it lies in the interval [1,2].

6. Solve the following system of linear simultaneous equations by Gauss-Elimination method :

7. Solve the following system of linear simultaneous equations by Gauss-Jordan method :

8. Use Lagrange and the divided difference formula to calculate F(3) from the following table :

9. Given :

10. Evaluate the value of integral l ∫[0 to 1] x * 1/(1 + x^2) dx using Simpson's rule with three and six points.

11. Find the minimize number of intervals required to evaluate the following integral with an accuracy of 10^-5 using Simpson’s 1/3 Rule. ∫01​1+x1​dx

12. Use the Runge-Kutta 4th order method with step size 0.5 to solve the initial value problem :

13. What do you mean by approximation of a function by a Taylor’s series? Find the Taylor polynomial of degree 2, T2(x) for f(x)=1/(2+x) centered at x0 = 0.

14. Give definition of numerical analysis.

15. Find the relative error, absolute error and percentage error, if 2/3 is approximated to 0.6667.

16. What is the order of convergence of Secant Method ?

17. What is meant by numerical integration ?

18. What is the relation between Divided Differences and Forward Differences in interpolation ?

19. What is pivoting in the solution of simultaneous linear equations? Explain with an example.