SYLLABUS

UNIT-1 Polar equation of conics, Polar equation of tangent, normal and asymptotes, chord ofcontact, auxiliary circle, director circle of conics

UNIT-2 Sphere, Cone.

UNIT-3 Cylinder, Central Conicoids — Ellipsoid, Hyperboloid of one and two sheets,
tangent lines and tangent planes, Direct sphere, Normals.

UNIT-4 : Generating lines of hyperboloid of one sheet and its properties. Reduction ofa
general equation of seconddegree inthree-dimensionstostandard forms.

UNIT-5 The linear programming problem. Basic solution. Some basic properties and
theorems on convex sets.. Fundamental theorem ofL.P.P. Theory ofsimplex method only
Duality. Fundamental theorem ofduality, properties and elementary theorems on duality
only.