Syllabus
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Course Code: MT-502 Course Name: (A) Analytical Geometry |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | General equation of second degree: Classification of conic sections; centre, asymptotes, axes, eccentricity, foci and directrices of conics. Tracing of conics. Tangent at any point to the conic, chord of contact, pole of line to the conic, director circle of conic. Polar equation of a conic, tangent and normal to the conic. | |
| 2 | System of conics. Confocal conics. Sphere: General form, Plane section of a sphere. Sphere through a given circle. Intersection of two spheres, tangent plane and line, polar plane and line, orthogonal spheres, length of tangent radical plane of two spheres, co-axial system of spheres |
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| 3 | Cone: Equation of a cone, right circular cone, quadric cone, enveloping cone. Tangent plane and condition of tangency, reciprocal cone. Conditions for having mutually perpendicular generatoes and for tangent palnes. Cylinder: Right circular cylinder and enveloping cylinder. | |
| 4 | Central Conicoids: Equation of tangent plane. Director sphere. Normal to the conicoids. Polar plane of a point. Enveloping cone of a coincoid. Enveloping cylinder of a coincoid. Paraboloids. | |
