Main Page > BS Physics 4-Years Program (1st to 8th semester) (Regular) > Analytical Geometry
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Analytical Geometry
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Curves in the Cartesian plane, parametric representations, the roulettes, polar coordinates, tangents and normal, conic sections properties of parabola, ellipse and hyperbola, polar equations of conic, change of axes, the general equation of the second degree, extreme values of a function, concavity and convexity, singular points, investigation of singular points by second partial derivatives, asymtotes, curve tracing, Arc lengths, intrinsic equations, curvature, circle of curvature, involutes and evolutes, properties of evolute, areas in rectangular and polar coordinates, analytical geometry of three dimensions, rectangular, spherical polar and cylindrical polar coordinates, direction consines, direction components, projections, angle between two lines, perpendicular lines, equations of a plane in various forms, perpendicular line to a plane, parallel planes, perpendicular planes, equations of straight line in various forms, point slop, plane through a line, perpendicularity and parallelism of lines and planes, equation of locus, shortest distance between two lines, examples of surfaces, intercepts, traces, symmetry, sketching by parallel plane sections, surfaces of revolution, quadric surfaces, spheres, ellipsoids, paraboloids, hyperboloids, cylinders, cones, curves in space, ruled surfaces, volumes of solids revolution, area of surfaces of revolution. |
| Credit hours/ Marks:- 3 |
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