Design of Curves: Ferguson segments, Bzier segments - Design of Curves: Bzier segments - Design of Curves: B-Splines - Design of Curves: Rational Curves/NURBS - Design of Surfaces: Piecewise continuous, differential geometry - Design of Surface patches: Fersugon,16 point form, Bzier, B-spline - Design of Coon's surface patches - Design of Composite Surfaces: Ferguson and Bzier surfaces -Computational geometry - Mesh generation - FEM: An introduction - Optimization: Single variable methods - Optimization: KKT conditions - Optimization: Stochastic Methods.