DISTANCE EDUCATION
M.Sc. (Physics) DEGREE EXAMINATION, MAY 2016.
NUMERICAL METHODS AND PROGRAMMING
(2008 onwards)
Time Three Hours Maximum 100 Marks
Answer any FIVE questions.
Each question carries 20 marks.
20 100)
1. Discuss about character set.
Describe the structure of a C program.
Explain print f statement in detail.
2. Explain the use of If...else statement in C program.

Differentiate statement and
statement with an example.
Write a C program to find the big number, small
number, ascending order and descending order
among 5 numbers.
3. Define an array. How will you declare and initialise
one-dimensional array?
Explain the various steps involved in opening a data
file to read data from it.
What is a structure? How a structure is defined?
Sub. Code
15
DE-3835
2
Wk 3
4. Explain how multiple values are returned from the
functions.
What is a Pointer? Explain the use of pointers in C.

Explain the character input and output, string
input and output statements in C.
5. Explain successive approximation method.
Describe the Stirling's formula.
What do you mean by errors and pitfalls?
6. Explain the principle of least squares in the method
of curve fitting.
Find an approximate root of x log10 x 0 by
false position method.
Find the real positive root of 3x cosx 0 by
Newton-Raphson's method correct to 4 decimal
places.
7. Solve the system of simultaneous equations by
Gauss elimination method
Gauss Jordan method.
3 2 13.
2 3 3 10
2 3



x y z
x y z
x y z
Using Lagrange's interpolation formula find
from the following table
x 5 6 9 11
y 12 13 14 16
DE-3835
3
Wk 3
8. Evaluate
1
0
2e x dx dividing the range into 5 equal
parts by
Trapezoidal rule
Simpson's one third rule.
Solve y
dx
dy using R-K method second order given
1 for x 0.1, x 0.2 .
Compute y at x 0.25 by modified Euler's method
for the equation xy
dx
dy 2 with