CS 21001 Discrete Structure

(Autumn Semester 2009)

Niloy Ganguly niloy@cse.iitkgp.ernet.in


Teaching Assistant

Naresh Shenoy  <nareshenoy@gmail.com>

Abhiram Kasina <abhiram.casina@gmail.com>

Souvik Bhattacharya <souvik99@gmail.com>


Notices

Endsem Grade out -

If you got > 89 - Ex and > 79 - A and so on

Marks out of 50 is out

Midsem Marks are out


Theory

       Lectures
       Evaluation
       Tutorial
       Students List

 


Theory

  Lectures   : 	Mon - 5, Tue - 3,4, Thu - 8pm (Tutorial)
  Room #     :  CSE 119

  Units      :	3-1-0

  Credits    :  4 (Theory) 

  Instructor :	Niloy Ganguly

  Contact    : 	Room #313  (CSE), Phone 3460



Text Book:



[1] Discrete Mathematical Structures

	Kolman, Busby, Ross

	PHI, 2004.

[2] Elements of Discrete Mathematics
	Lui, Mohapatra, TMH	
Lectures

 

Sl No. Date Topic Scribe (Roll No)
1. 23.7.09 Properties of sets, Counting principal  
2.

27.7.09

Sequence, Strings, Integers  
3.

28.7.09

GCD and LCM

 
4.

30.7.09

 
Matrices, Boolean matrices
Characteristic polynomial
 
5.

3.8.09

Mathematical structures

 
6.

4.8.09

 
Logic, Logical connectives
Model checking, Quatifier
 
7.

10.8.09

Conditional logic, Tautology  
8.

11.8.09

 
Proof techniques, Induction
Counting
 
9.

17.8.09

Pigeon hole principle

 
10.

24.8.09

 
Elements of probability
Bayes theorem
 
11.

25.8.09

 
Recurrence relation, Generating function  
12.

31.8.09

Generating function

 
13. 01.9.09 Relations and Digraphs,Cartesian Product  
14. 07.9.09 Equivalence Relations,Types of Relations,Relation Matrix  
15. 05.10.09 Composition,Closures  
16. 06.10.09 Warshall's Theorem,Functions  
17. 08.10.09 Types of Functions  
18. 12.10.09 Permutation Functions,Cycles  
19. 13.10.09 Partial Order,Hasse Diagram  
20. 19.10.09 Hasse Diagram,Topological Sort  
21. 20.09.09 Isomorphism,Bounds,Lattice  
22. 26.09.09 Types and Properties of Lattices  
       
       
       
       

Evaluation

Teacher's Assessment : 20

Class Test - 1,

Class Test - 2,
       
Mid-sem : 30
End-sem : 50

Tutorial

Each tutorial to be submitted in one week.

Sl No Date Tutorial Solution
1. 6.08.08 Tutorial - 1 Solution- 1
2. 13.08.09 Tutorial - 2 Solution - 2
3. 20.08.09 Tutorial - 3 Solution-3
4 27.08.09 CT-1 Solution
5. 15.09.09 Midsem  
6. 10.09.09 Tutorial - 4 Solution
7. 15.10.09 Tutorial - 5 Solution
8. 22.10.09 Tutorial - 6  
9. 5.11.09 CT-2 Solution
10. 12.11.09 Tutorial 7 Solution