Computer Oriented Numerical Methods, Question Paper of Bsc.IT 4th Semester, Download Previous Years Question Paper 1

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 consisting of TEN questions carrying

TWO marks each.

2. SECTION-B contains SIX questions carrying TEN marks each and students

has to attempt any FOUR questions.

SECTION-A

l. Write briefly :

(a) What are truncation errors in interpolation method ?

(b) Define Simpson’s 1/3rd rule.

(c) Why Gauss Jordon method requires double the elementary row operations than Gauss Elimination method ?

(d) What method do you think is the best for getting solution of equations

in the category of iterative methods ?

(e) What do you mean by ‘Linear Regression’ ?

(f) Write some pit falls in computing.

(g) Give formula of Trapezodial Rule.

(h) Give formula of Newton-Raphson method.

(i) What is Binary Representation of Numbers ?

(j) Give comparison of Runge-Kutta and Predictor Corrector method.

SECTION-B

2. Evaluate 28 to four decimal places by Newton’s iterative method.

3. From the following table, estimate the number of students who obtained

marks between 40 and 45

Marks	30-40	40-50	50-60	60-70	70-80
No.of students	31	42	51	35	31

4. Evaluate:  by using

                               i.            Trapezoidal rule,

                             ii.            Simpson’s 1/3 rd rule,

                          iii.            Simpson’s 3/8 th tule.

5. Give that

         

X	1.0	1.1	1.2	1.3	1.4	1.5	1.6
y	7.989	8.403	8.781	9.129	9.451	7.750	10.031

 Find   and  at x= 1.1, x =1.6

6. Apply Runga-kutta fourth order method & find an approximate value of  y when x = 0.2 . given by  = x+y and y = 1 when x = 0.

7.Write down the working rule of  predictor- Corrector Method.