UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN MATHEMATICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester III - Paper VI - Coordinate Geometry of 3 Dimensions and Probability

Duration of Examination: 3 hrs
Maximum Marks: 100
Credits: 4

Planes and lines; reduction to symmetric form of a line given by a pair of planes; conditions for 2 lines to be coplanar and the equation of the plane containing the lines; length and equation of the shortest distance between 2 skew lines; image of a point and a line w. r. t. a plane, bisector planes.

Sphere :-

Equations of a sphere; general equation; section of a sphere by a plane; tangent plane; radical plane; coaxial system of spheres; orthogonal spheres.

Probability :-

Probability space; total probability; multiplication law on probability; conditional probability; independent events; Baye's theorem.

Random variables; discrete and continuous; distribution functions; expected value; moments; moment generating function; probability generating function.

Reference Books :-

1. Differential Equations, Fourier Series and Analytical Solid Geometry : P.R. Vittal (Margham Publishers)

2. Engineering Mathematics Volume 3: M. K. Venkataraman (National Publishing Co.)

3. Engineering Mathematics Volume 3: R Kandasamy and others (S. Chand and Co.)

4. Advanced Engineering Mathematics : Stanley Grossman and William R. Devit (Harper and Row publisher)

5. Fundamentals of mathematical statistics: S. C. Gupta and V. K. Kapoor (Sultan Chand and sons)

6. Mathematical Statistics and Probability by Dr. P. R. Vittal (Margham Publishers)