- Two Dimensional Geometry Points and vectors, projection of a vector, geometry of inner product, orthogonal projections, distances, geometry of linear transformation of rectangular axes, orthogonal transformations, line in $\mathbb R^2,$ general equation of second degree in two variables and its reduction to canonical forms, classification of conics, equations of tangent and normal.
- Three Dimensional Geometry Equation of planes, angle between two intersecting planes, distance of a point from a line, coplanarity of two lines; Sphere- tangent, normal, circular section, Cone and cylinder, general equation of second degree in three variables and its reduction to canonical forms, ellipsoid, paraboloid, hyperboloid, ruled surface.
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