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

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.

Admission 2017