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PAPER VIII : COMPUTATIONAL METHODS & PROGRAMMING

Unit I
: Numerical Methods I Finding Roots of a Polynomial-Bisection Method-Newton Raphson Method-Solution of Simultaneous Linear Equation by Guass Elimination Method-Solution of Ordinary Differential Equation by Euler, Runge-Kutta Fourth Order Methods-Evaluation of Integrals by means of Simpson’s One Third Rule-Girafe’s Root Squaring Method for solving Algebraic Equation.

Unit II
: Numerical Methods II Solving Partial Differential Equations- Finite difference method – Explicit and Implicit methods – Stability analysis – Application to diffusion equation – Solving Poisson equation – Introduction to finite volume and finite element methods- Random number generator – Importance sampling – Metropolis algorithm – Monte Carlo simulation

Unit III
: Matlab Fundamentals Introduction-Matlab Features-Desktop Windows: Command, Workspace, Command History, Array Editor and Current Directory -Matlab Help and Demos- Matlab Functions, Characters, Operators and Commands. Basic Arithmetic in Matlab-Basic Operations with Scalars, Vectors and Arrays-Matrices and Matrix Operations-Complex Numbers- Matlab Built-In Functions-Illustrative Examples

Unit IV
: Matlab Programming Control Flow Statements: if, else, else if, switch Statements-for, while Loop Structures-break Statement-Input/Output Commands-Function m Files-Script m Files-Controlling Output

Unit V
: Matlab Graphics: 2D Plots-Planar Plots, Log Plots, Scatter Plots, Contour Plots-Multiple Figures, Graph of a Function- Titles, Labels, Text in a Graph- Line Types, Marker types, Colors-3D Graphics- Curve Plots-Mesh and Surface Plots-Illustrative Examples

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