DISTANCE EDUCATION
M.Sc. (Physics) DEGREE EXAMINATION, MAY 2017.
NUMERICAL METHODS AND PROGRAMMING
(2008 onwards)
Time Three hours Maximum 100 marks
Answer any FIVE questions.
Each questions carries 20 marks.
20 100)
1. What are the character set available in
language? Explain.
What is meant by operators in List out the
classification of operators with examples.
Explain the purpose of scanf( function.
2. Differentiate statement and
statement with an example.
Describe the general form of 'switch' statement in C
with illustration.
Write a program to sort the given set of
numbers in ascending order.
3. What is a C function? Explain its advantages.
What is a pointer in Explain the pointer
variables in C.
What is an array? How will you initialize an array?
Write a program to display array contents using
recursive method.
Sub. Code
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4. Narrate any two categories of used-defined
functions in C with examples.
Describe the syntax for the declaration of structure.

Enumerate the various steps involved in opening a
data file to read data from it.
5. Find a root of the equation x3 4x 9 0 correct to
three decimal places by using the bisection method.

Determine the root of the equation x3 x2 0
by using the iteration method.
6. Solve the following equations using Gauss-
Elimination method.
4 11 33.
8 3 2 20
2 4 12



x y z
x y z
x y z
Solve the following equations using Gauss-Seidal
method.
54 110.
6 15 2 72
27 6 85



x y z
x y z
x y z
7. The following data give the percentage of criminals
for different age groups.
Age (less than 25 30 40 50
Percentage of criminals 52.0 67.3 84.1 94.4
Using Lagrange's formula, estimate the percentage
of criminals under the age of 35.
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Dividing the range into ten equal parts, find the
approximate value of

0
sin x dx using Simpson's
rule.
Derive the Trapezoidal rule.
8. Solve by Euler's method, given 1 and
find
Obtain the values of y at x 0.1; 0.2; 0.3. Using R.K
method of second order for the differential equation
y 0 1 .