LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

AC 11

FOURTH SEMESTER – APRIL 2006

                                              ST 4202 – NUMERICAL METHODS USING C

(Also equivalent to STA 202)

 

 

Date & Time : 29-04-2006/9.00-12.00         Dept. No.                                                       Max. : 100 Marks

SECTION A

Answer ALL questions                                                                              [10×2 =20]

1. Distinguish between a compiler and an interpreter
2. Explain the importance of #define directive
3. Define a] a variable b] a constant
4. What is initialization? Why it is important?
5. Mention any four C’s fundamental data types?
6. Write the importance of bitwise operators
7. What is an array? Define an array to store six subjects marks for 100 students.
8. Distinguish between an array and a structure.
9. What are different categories of functions?
10. Define Interpolation .

SECTION B

 Answer any FIVE questions                                                                          [5×8 =40]

11. Write a program to find the mean and standard deviation of n numbers.
12. Using Newton-Raphson’s method , write a C program to evaluate a real root for the  equation:
    X³ + 2 X² + 2 X +5 =0.
13. Write a program to the maximum of N numbers
14. Distinguish between do and while statements with an example.
15. Write a C program for Lagrange’s interpolation formula.
16. Explain the following operators in C with suitable examples
    a)arithmetic operators b) increment and decrement operators
17. Write a C program to arrange n numbers of an array in the ascending order.
18. Write a program that uses an user defined function namely Mystrlen() which counts and returns the length of a string .

SECTION C

Answer any TWO questions                                                                         [2 x 20 =40]

19. Write a program to read the values of matrices viz. A_{m x l} and B_{l x n}  and compute the product of the matrices and store the results in the matrix C_mxn.
20. a] Write a program in C to find the roots of a quadratic equation.

b]   Using Trapezoidal rule, Write a program to evaluate the integral                           [12]

21         Write a C program to solve the system of linear equations by GAUSS’s elimination    method.

22. a] Write a program that prints first n-fibonacci numbers in the series.

b]   Using Newton’s backward formula, find the annual premium at the age of 33 from the            following data:  Age in years              : 24           28          32           36           40

Annual premium in Rs.             : 28.06     30.19      32.75      34.94      40

 

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