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M.Sc (Computer Science) -> M. Sc (Computer Science) -> 1 st Year-> 1st Semester
 
Discrete Mathematics

UNIT-I
Mathematical logic and proof � propostions � new proposition from old ones � algorithms,truth tables and tautologies � equilent propositions � the conditions and biconditions � argument
And proofs � predicate logic � logic and electric circuits � boolean algebra � bolean function some applications � minimization.

Unit II :
Graph Theory � Basic ideas and Definitions � Planer Graphics � Connectivity - Computer Reresentations of Graphs � Directed and Trees � Paths, cycle etc. � Dirjkstra�s - Algorithm.

Unit � III :
Elementary Combinations � Basic of Counting � Combinations And ermutations � Their Enumeration With Repetition � Engineering Permutations with curtained repetitions � Binomial Coefficients of the Binomial and Multinomial Theorem � The Principle of inoculation � exclusion.

Unit � IV :
Recurrence Relation � Generating functions of sequence � Calculating Coefficients of generating functions � Recurrence relations � Solving recurrence relations by substitution and generating the methods of characteristic roots � Solving of Homogenous Linear RR.

Text book :
Stephen A.Witala, Discrete Mathematics , A Unified Approach Mc Graw hill international edition,computer science series, 1987.

Joe.l.Mott,Abraham Kandel Theodore P.Baker; Discrete Mathematics, Printice Hall, NJ,1986

Reference Book :
Kenneth H. Rosen; Discrete Mathematics, Mc Graw Hill International Editions.

 

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