This document provides the schedule for a 7-day summer course on basic engineering mathematics, discrete mathematics, and graph theory held from July 6-13, 2009 at VIT University. The course schedule lists the daily topics to be covered from 9:45am-4:15pm, including lectures on graph theory, advanced calculus, formal languages and automata, probability and random processes, mathematical modeling, and programming fundamentals. Various professors from VIT University and other institutions are listed as lecturers for the different topics. The course is coordinated by Dr. N. Chandramowliswaran and overseen by the director Dr. K. Sathiyanarayanan.

1. 1
VIT
U N I V E R S I T Y
(Estd. u/s 3 of UGC Act 1956)
Vellore - 632 014, Tamil Nadu, India
School of Science and Humanities
(Mathematics)
Faculty Development Programme
A Summer Term Course on
“Basic Engineering Mathematics, Discrete Mathematics and
Graph theory ”
7 Days Course. From 6th
July, 2009 to 13th
July, 2009
S C H E D U L E
DateTime 9.45 A.M-11.15 A.M 11.40A.M -12.40 P.M 2.15 P.M-4.15 P.M
6-7-2009 Graph Theory* Graph Theory* Advanced Calculus
(Functional analysis
Approach)**
7-7-2009 Graph Theory* Problems and
Discussions*
Advanced Calculus
(Functional analysis
Approach)**
8-7-2009 An Introduction Formal
Languages and Automata
Problems and
Discussions
Discrete Mathematics $
9-7-2009 Probability and Random
Process
Problems and
Discussions
Multivariable
Calculush
10-7-2009 Applications of
Mathematics to Physics
Mathematical
Modeling and
Discussions
11-7-2009 Partially Ordered Sets and
Dilworth’s Theorem and its
applications to Computer
Science
Proof of Halls
Theorem(Matching)
through Dilworth’s
Theorem
Basic Combinatorics
Counting Formulae
13-7-2009 Programming
Fundamentals
Note: 11.15 to 11.40 Coffee break and 12.40 to 2.10 Lunch break.
Venue: TT 203 and 204

2. 2
Lectures delivered by
* Dr.R. Balakrishnan , Adjunct Professor ,Dept of Mathematics , Bharathidasan
University, Tiruchirappalli .
** Dr. P. Veeramani , Professor, Dept of Mathematics I.I.T .Chennai.
Dr.R.Selva Kumar, Professor, Dept of Mathematics, SSH,VIT.
$ Dr.V.M.Chandrasekaran, Professor, Dept of Mathematics, SSH,VIT.
Dr. A.K.Chellapa , Professor, Dept of Mathematics, SSH,VIT.
Dr P. Ramesh Babu ,Professor, Dept of Physics, SSH, VIT.
h Prof. G.Natarajan , Dept of Mathematics, SSH,VIT.
Dr.N. Chandramowliswaran, Professor, Dept of Mathematics,SSH,VIT
Dr. Jyotsna Joshi, Professor, Dept of Physics, SSH, VIT.
Dr. V.Somaraju, Professor, Dept of Mathematics,SSH,VIT
Dr.R. Vijayaragavan, Professor, Dept of Mathematics,SSH,VIT
Dr. R. Saravanan, Professor, Dept Of Computer Science, SCS, VIT
Course Coordinator Director
N. Chandramowliswaran. K. Sathiyanarayanan