NOTE:   

The evaluation of this paper will consist of two parts:

1.    Written examination:    50 marks

2.    Practical examination:    50 marks

The practical examination includes 10 marks for the note book containing details of work done in the computer laboratory and 10 marks for the oral examination. It will involve writing and running programs on computational projects. Practical examination will be of three hours duration in which one or more computational projects will be examined.



NOTE: Attempt any FIVE questions selecting at least TWO questions from each section.

Section-I (4/9)

Fortran Programming

•    Constants

•    Variables

•    Implicit declaration

•    Intrinsic functions

•    Arithmetic operations

•    Arithmetic expressions

•    Assignment statements

•    Relational operators

•    Format  statements

•    The block if structure

•    The block do loop structure

•    Count controlled do loop structure

•    Logical constants, variables and expressions

•    The case statement

•    Function subprograms

•    Subroutines

•    One dimensional and two dimensional Arrays

•    Implementation of Fortran in terms of short programs



Section-II (5/9)

Implementation of Fortran to the numerical methods

System of linear equations

•    Gaussian elimination method with pivoting

•    LU Decomposition methods

•    Jacobi’s   iterative method

•    Gauss-Seidel method

Solutions of non-linear equations

•    Bisection method

•    Newton-Raphson method

•    Secant method

•    Regula Falsi  method

Interpolation

•    Lagrange interpolation

•    Newton’s divided and forward difference interpolation

Numerical integration

•    Rectangular rule

•    Trapezoidal rule

•    Simpson’s rule

•    Boole’s rule

•    Weddle’s rule

Differential equations

•    Euler’s methods

•    Runge- Kutta methods

•    Predictor-corrector methods

Mathematica

•    Syntax of Fortran in Mathematica

•    Symbolic representation

•    Algebraic calculations

•    Graphs