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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