LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

THIRD SEMESTER – APRIL 2012

CS 3203 – NUMERICAL METHODS USING C

 

 

Date : 02-05-2012              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A  

                                                                       

ANSWER ALL THE QUESTIONS:                                                                       (10 X 2 =20)

 

1. What is meant by identifier?
2. Give the syntax for conditional operator in C.
3. How will you declare a variable in C?
4. List out any four built in functions in C.
5. Write a transpose of a given matrix.

15   16   17

13   15   16

15   15   18

1. State the formula for Newton’s backward interpolation.
2. Differentiate the equation 5X⁵+2X ⁴+ 2X³ + 14X +45.
3. What is the use of Newton- Raphson method?
4. Give the formula for Simpson 3/8 rule.
5. What is the use of power method?

 

PART – B  

                          

ANSWER ALL THE QUESTIONS:                                                                         (5 X 8 =40)

 

1. a) Explain all types of if statements in C with suitable example.

(Or)

1. b) Write a C program to find out sum and average of n numbers.

 

12. a) Write a C program to find out factorial of n numbers using recursion.

(Or)

1. b) Discuss about all the operators used in C.

 

13. a) Solve the system of equation using Gauss Jordan method.

 

2x + 4y – 6z =  -8

x + 3y +  z  = 10

2x  – 4y – 2z = -12

 

(Or)

1. b) Write a C program to solve the system of equation using Gauss elimination

method.

 

14. a) Write a C program to implement Simpson’s 1/3 rule.

(or)

b). Evaluate the following integral using trapezoidal rule.

F(x) = 1/ (1+x²) with n = 10 on the interval [0-1].

 

1. a) Write a C program to find out root of the equation using Regula –Falsi method.

(Or)

1. b) Estimate theg given equation u’ = -2tu² with h = 0.2 on the interval [0-1] using

Euler’s method.
PART – C

 

ANSWER ANY TWO QUESTIONS:                                                               (2 X 20 =40)

 

16. a) Explain scanf() and printf() statement in C with suitable example.
17. b) Illustrate the use of user defined function in C.
18. a) Write a C program to find out biggest of any three given numbers .
19. b) Estimate the value of y at x = 6 using Newton’s forward interpolation formula with the help of

the following table.

 

x	3	7	9	10
Y	168	120	72	63

 

18. a) Write a C program to implement Runge –kutta IV^th order method.
19. b) Compute the root of the given equation using Bisection method.

X³ – 5X + 1 = 0 with the initial value a₀ =0 and b₀ =0

 

 

 

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