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Title – Solid Geometry (Code-09010203)

Unit Content Learning objects Teaching Guidelines Methodology Time (Hrs)
one 1.    General  equation of second degree,

2.    Tracing of conics, Tangent at any point to the conic,

3.    Chord of contact, pole of line to the conic,

4.    System of conics, Confocal conics,

5.    Polar equation of a conic,

6.    Tangent and normal to the conic

Students will be able to

 

1 General  equation of second degree

2. Chord of contact, pole of line to the. System of conics, Confocal conics

3. Polar equation of a conic. Tangent and normal to the conic

 

Lecture should be effective so that student can grasp the topics easily.

 

1. Lecture.

2.  Seminar.

3. Discussion/Interaction with Students.

4. Assignment.

5.  Discussion on Assignment.

6. Evaluation of Assignment.

15

 

 

 

 

Two 1.    Sphere: Plane equation of a sphere,

2.    Sphere through a given circle,

3.    Intersection of two spheres,

4.    Radical plane of two spheres, Co-axal system of spheres,

Students will be able to

1.   Sphere: Plane equation of a sphere.

2.   Sphere through a given circle Points of inflexion, Cusp, node and conjugate points.

3.   Radical plane of two spheres, Co-axal system of spheres,

 

Lecture should be effective so that student can grasp the topics easily.

 

1.    Lecture.

2.     Seminar.

3.    Discussion/Interaction with Students.

4.    Assignment.

5.    Discussion on Assignment.

6.    Evaluation of Assignment

15
Three 1.    Cones, Right circular cone, enveloping and reciprocal cone,

2.    Cylinder: Right circular cylinder and enveloping cylinder,

3.    Central Conicoids: Equation of tangent plane,

4.    Director sphere,

5.    Normal to the conicoids,

6.    Polar plane of a point,

7.    Enveloping cone of a conicoid,

8.    Enveloping cylinder of a conicoid,

9.    Paraboloids: Circular section,

10.   Plane sections of conicoids,

11.   Generating lines, Confocal conicoid,

12.   Reduction of second degree equations,

To make students familiar with Cones, Right circular cone, enveloping cone and reciprocal cone Cylinder: Right circular cylinder and enveloping cylinder. Central Conicoids: Equation of tangent plane. Director sphere. Normal to the conicoids.

Enveloping cone of a conicoid. Enveloping cylinder of a conicoid. Plane sections of conicoids. Generating lines. Confocal conicoid. Reduction of second degree equations

Lecture should be effective sothat student can grasp the topics easily.

 

1.    Lecture,

2.    Seminar,

3.    Discussion/Interaction with Students,

4.    Assignment,

5.    Discussion on Assignment.

6.    Evaluation of Assignment

15
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