LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

HC 05

THIRD SEMESTER – APRIL 2007

CS 3200 – NUMERICAL METHODS USING C

 

 

 

Date & Time: 26/04/2007 / 9:00 – 12:00 Dept. No.                                                Max. : 100 Marks

 

 

PART-A

Answer all questions                                                                         10 x 2 = 20

1. What is Compiler?
2. Identify the valid variable

Interest, char, FILE, pi

1. What is an array?
2. List any four back-slash character constants in C.
3. List an Gaussian methods
4. Write a trapezoidal rule?
5. Write a formula for Runge-Kutta 4^th order method?
6. Write a Simpson’s 1/3 and 3/8 rule.
7. Define Numerical Integration.

10. Find the determinant of the following matrix?

│    4   2   │

│    1   3   │

PART-B

Answer all Questions                                                                                    5 x 8 = 40

11. (a)  Elucidate the structure of C Program                                         (or)

(b) Write a C program to generate Fibonacci series

12. (a) Explain if.,else and switch statements in C language (or)

(b) Write a C Program to calculate a factorial of given value.

13. (a) Explicate different categories of functions. (or)

(b) Write a C program for n x n matrix addition

14. (a) Apply Newton’s Forward Problem for interpolation.

X(year)                  1891    1901    1911    1921    1931

Y(population)                        46      66        81        93      101

Estimate the population for the year 1895.                                   (or)

(b) Explain for, while and do..while statements with an example

 

15. (a) Write a C program for Runge-Kutta 2^nd order method              (or)

(b) Write a C program to find a determinant of a matrix.

PART-C

Answer any two Questions                                                               2 x 20 = 40

 

1.  a) Explain various types of operators in C Language. (10 Marks)

1. b) Elucidate Recursive function.                               (10 Marks)

1.  Write a C program to evaluate ₀ ò¹ Sqrt(1+x^2) by

1. a) Trapezoidal method                                (7 Mark)
2. b) Simpson’s 1/3 and 3/8 method               (13 Mark)

 

1.  Write a C program t to solve the system of equations by Gauss Elimination Method (20Marks)

 

 

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