Krishna's - BSc. Obj. Geometry & Vector Calculus, Edition-1
English | 2021 | ASIN: B095HXCSZP | 165 pages | PDF | 2.68 MB
SYLLABUS- B.Sc. OBJ. GEOMETRY & VECTOR 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.
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