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SEMESTERFIVE SUBJECT CODEMA1256 PROFESSORV.SUNDARARAJAN
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UNIT-IPROPOSITIONAL CALCULUS
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PROPOSITIONS LOGICAL CONNECTIVES COMPOUND PROPOSITIONS CONDITIONAL & BI-CONDITIONAL PROPOSITIONS @ TRUTH TABLES TAUTOLOGY & CONTRADICTION CONTRA+VE LOGICAL EQUIVALENCE & IMPLICATION
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DEMORGAN’S LAW NORMAL FORMS PRINCIPAL NORMAL FORMS @ CONJUCTIVE & DISJUNCTIVE RULES OF INFERENCE ARGUMENTS VALIDITY OF ARGUMENTS
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UNIT-IIPREDICATE CALCULUS
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PREDICATES STATEMENT FUNCTION VARIABLES FREE & BOUND VARIABLES QUANTIFIERS UNIVERSE OF DISCOURSE LOGICAL EQUIVALENCE & IMPLICATION
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THEORY OF INFERENCE RULES OF UNIVERSAL SPECIFICATION & GENERALISATION VALIDITY OF ARGUMENTS
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UNIT-III SET THEORY
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BASIC & NOTATIONS SUBSETS ALGEBRA OF SETS POWER SET ORDERED PAIR & CARTESIAN PRODUCT SET RELATIONS & PROPERTIES RELATIONAL MATRIX & GRAPH OF RELATION
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PARTITIONS EQUIVALENCE RELATION PARTIAL ORDERING POSET HASSE DIAGRAM LATTICES SUBLATTICES BOOLEAN ALGEBRA HOMOMORPHISM
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UNIT-IV FUNCTIONS
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DEFINITIONS CLASSIFICATIONS TYPES EXAMPLES COMPOSITIONS INVERSE FUNCTIONS BINARY & n-ARY OPERATIONS
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CHARECTERISTICS FUNCTIONS HASHING FUNCTIONS RECURSIVE FUNCTIONS PERMUTATION FUNCTIONS
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UNIT-V GROUPS
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ALGEBRAIC SYSTEMS DEFINITIONS PROPERTIES SEMIGRROUPS MONOIDS HOMOMORPHISM SUB –SEMIGROUPS SUB-MONOIDS
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LAGRANGE’S THEOREM NORMAL SUBGROUPS NORMAL ALGEBRAIC SYSTEM CODES & GROUP CODES BASIC NOTIONS FOR ERROR CORRECTION ERROR RECOVERY IN GROUP CODES
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UNIT NO. AS PER UNIVERSITY ORDER (IN HOURS) AS PER TEACHING PLAN (IN HOURS) 19 + 311+3 29 + 311 + 3 39 + 314 +3 49 + 313+3 59 + 314+3 TOTAL45+1563+15 *********(+15) TUTORIAL HOURS
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TREMBLY & MANOHAR-DISCRETE MATHEMATICAL STRUCTURES WITH COMPUTER APPLICATIONS – TMH Pub.Co.Ltd-2003 RALPH P. GRIMALDI- DISCRETE & COMBINATORIAL MATHEMATICS: AN APPLIED INTRODUCTION-4 th EDITION,PEARSON Education Asia-2002
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BERNARD KOLMAN, BUSBY R.C. AND SHARAN CUTLER ROSS-DISCRETE MATHEMATICAL STRUCTURES –4 TH INDIAN REPRINT-PEARSON EDUCATION Pvt.Ltd. KENNETH H.ROSEN-DISCRETE MATHEMATICAL AND ITS APPLICATIONS – 5 TH EDITION –TMH PUBLISHING COMPANY. RICHARD JOHNSONBAUGH- DISCRETE MATHEMATICS - 5 TH EDITION –PEARSON EDUCATION ASIA.
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