PMAT 32053

>< Type/ Status : Elective
>< Title : Geometry
>< Pre-requisites : PMAT 21015
>< Objectives :
At the end of this course, the student will have a sound knowledge about two and three dimensional Analytical Geometry involving pairs of straight lines, conics and the interpretation of the equation of the second degree and will be conversant with the standard results to solve problems related to lines, planes and conicoids.
>< Course Content :

Analytical Geometry in Two Dimensions: Pairs of straight lines, General equation of second degree, Change of origin and rotation of axes, Joachimsthal’s ratio equation, Equations of tangents, Pairs of tangents and chords of contact, Harmonic conjugates, Pole and Polar, Invariance, Reduction to standard forms of conic, Parametric treatment, Degenerate conic, Properties of conic, Matrix methods.

Analytical Geometry in Three Dimensions: Equations of the line, plane, sphere, cone, ellipsoid and hyperboloid, Tangent plane, Normal, Pole and polar, Ruled surfaces, General equation of the second degree, Properties of quadrics.

>< Methodology : A combination of lectures and tutorial discussions
>< Scheme of Evaluation : Based on tutorials, tests and end of course examination
>< Recommended Reading :
1. Gibson, G.A. & Pinkerton, P. (1951). Analytical Geometry, Macmillan.
2. Maxwell, E.A. (1962). Elementary Coordinate Geometry, Oxford University Press.
3. Chatterjee, D (2003). Analytic Solid Geometry, Prentice Hall, India.
4. Jain, P.K. & Ahmad, K. (1994). Analytical Geometry of Two Dimensions, Wiley Eastern.

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