Unit- I: 2D Geometry : General Equation of Second Degree; Tracing of Conics; Confocal Conics; Polar Equation of a Conic; Unit-2 : 3D Geometry : Three Dimensional System of Coordinates; Direction Cosines and Angle Between Two Lines; The Plane; The Straight Line; Unit- 3: 3D Geometry : The Sphere; The Cone; The Cylinder; Unit- 4: 3D Geometry : The Central Conicoids; Plane Section of Central Conicoids; Reduction of General Equation of Second Degree; Generating Lines; Unit- 5: Vector Calculus : Multiple Products of Vectors; Differentiation and Integration of Vectors; Gradient, Divergence and Curl; Green's Gauss's Stoke's Theorems.