TB Geometry & Vectors

• Category: Science
• ISBN: N/A
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• Posted on: 11/09/2021 18:15

SYLLABUS- GEOMETRY & VECTORS CALCULUS,

Unit-1: General equation of second degree, Tracing of conics, System of conics, Confocal conics, Polar equation of a conic and its properties.

Unit-2: Three dimensional system of co-ordinates, Projection and direction cosines, Plane, Straight line.

Unit-3: Sphere, cone and cylinder.

Unit-4: Central conicoids, Reduction of general equation of second degree, Tangent plane and normal to a conicoid, Pole and polar, Conjugate diameters, Generating lines, Plane sections.

Unit-5: Vector differentiation and integration, Gradient, divergence and curl and their properties, Line integrals, Theorems of Gauss, Green and Stokes and problems based on these.