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Title: SOLID GEOMETRY (Code-09050103) B.Sc. Mathematics (Hons) – 1st semester

 S.No. Content of the topics Learning Objectives Teaching Guidelines Methodology Time (Hours) 1 General equation of second degree Tracing of conics, Tangent at any point to the conic Chord of contact, pole of line to the conic System of conics, Confocal conics Polar equation of a conic Tangent and normal to the conic Student will be able to study limit, Continuity & differentiability of function Lecture should be effective so that student will be able to grasp the topics easily Assignment/ seminar/ Class tests/ Presentation 14 2 Sphere:Plane equation of a sphere Sphere through a given circle Intersection of two spheres Radical plane of two spheres, Co-axal system of spheres Cones, Right circular cone, enveloping cone and reciprocal cone Cylinder: Right circular cylinder and enveloping cylinder Student will be able to study of Asymptotes, Curvature and Points of infixion Lecture should be effective so that student will be able to grasp the topics easily Assignment/ seminar/ Class tests/ Presentation 15 3 Central Conicoids: Equation of tangent plane Director sphere Normal to the conicoids Polar plane of a point Enveloping cone of a conicoid Enveloping cylinder of a conicoid Student will be able to trace the curves & study Reduction formulae , Rectification Lecture should be effective so that student will be able to grasp the topics easily Assignment/ seminar/ Class tests/ Presentation 8 4 Paraboloids: Circular section Plane sections of conicoids Generating lines Confocal conicoid Reduction of second degree equations Student will be able to find the area and Volumes of curves Lecture should be effective so that student will be able to grasp the topics easily Assignment/ seminar/ Class tests/ Presentation 8

Books Recommended:
1. R.J.T. Bill, Elementary Treatise on Coordinary Geometry of Three Dimensions, MacMillan India Ltd. 1994.
2. P.K. Jain and Khalil Ahmad : A Textbook of Analytical Geometry of Three Dimensions, Wiley Eastern Ltd. 1999.