M.Sc. DEGREE EXAMINATION, NOVEMBER 2017.
First Semester
Physics
ELEMENTARY NUMERICAL ANALYSIS
(CBCS 2016 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 x 2 20)
Answer all questions.
1. Write the syntax of the getchar and putchar functions.
2. What are the arithmetic operations available in C
programming?
3. List the advantages of secant method over Newton
method?
4. Write down algorithm for bisection method.
5. What is quadratic interpolation?
6. State at least two examples where interpolation methods
are employed.
7. What is the truncation error involved in trapezoidal rule?
Sub. Code
521501
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9. Why does the iterative method suitable for solving system
of linear equations?
10. What is the condition that an inverse of the matrix can be
found?
Part B x 5 25)
Answer all questions, choosing either or
11. Write a simple C program to add numbers, 1 to 100.
Or
Discuss the library functions available in C
programming.
12. Explain the propagation of error in arithmetic
operations.
Or
Write the algorithm of Newton's method and discuss
the error involved in this method.
13. List the properties of divided differences and briefly
describe each of them.
Or
Write the algorithm for the Newton's divided
difference interpolation.
14. Explain steps involved in the Euler's method for
solving the first Order ordinary differential
equations.
Or
Using Simpson's 1/3 rule, evaluate the integral
1
x
x dx numerically.
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15. Discuss the LU factorization method.
Part C x 10 30)
Answer any three questions.
All questions carry equal marks.
16. How many types of control structures are there in C
programming? Explain each of them using flow charts.
between 5 and using Secant method, correct to two
decimal places.
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17. Sketch the algorithm of Jacobi method and Gauss-Seidel
method. Discuss in detail about the convergence of the
both methods.
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