Introduction, Computer Graphics, Curve representation, Interpolation vs approximation, Spline curve, Bezier curves and its properties, Brief mention of other curves.3-D Graphics, Solid modelling-sweep representation wire mesh , constructive solid geometry and Boolean operations, boundary representation ,colors. Computer aided design of machine elements such as shaft, springs, bearings and problem from other systems such as heat exchanger, inventory control etc. Writing computer programe in C, Auto Cad and its uses. Introduction to numerical method and optimization technique, curve fitting, least square method. Newton – Raphson method for root finding and for optimization. Brief Introduction to numerical differtiation and integration. Linear programing for constrained optimization (only graphical method) Introduction to finite element method, one and two dimensional beam element (spring system) analysis.