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TB Geometry & Vectors, Edition-24th
SYLLABUS- GEOMETRY & VECTORS CALCULUS, Geometry 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. Vector Calculus 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.