Part-I: Computer Programming
Algorithm and programs: Problem analysis and
development of algorithms. Program coding, execution, design, validation and
refinement.
Basic FORTRAN: Data type, operations
functions, assignment statement, input-output, stop and end statement.
Control structure: Logical data type, logical if
and block if, do and continue, Go to statement, While statement.
Input-output: formatted input and output,
File processing.
Dimensional arrays: Arrays and subscripted
variables, dimension statement, parameter and data statement, examples average
group data, sorting and searching.
Multidimensional arrays: Matrix operations, Solving
linear system, Functions and subroutines: Library functions and statement
functions, function subprogram, subroutine, subprogram, Common statement.
Part-II: Numerical Analysis
Solutions of equations of one
variable: Bisection
method, Fixed point iteration, Newton-Raphson method, Error analysis for
iterative method.
Interpolation and polynomial
approximation: Taylor
polynomials, Interpolation and Lagrange polynomial, Iterated interpolation.
Numerical differentiation & integration: Numerical differentiation with backward – difference formula, forward difference formula, Adaptive quadrature method, Trapezium method, Simpson method, Matrix algebra and system of equations. Matrix operations, Gauss-Jordan elimination method. SOR Method. (Successive over-Relaxation method).
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