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SEMESTERFIVE SUBJECT CODEMA1256 PROFESSORV.SUNDARARAJAN.

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Presentation on theme: "SEMESTERFIVE SUBJECT CODEMA1256 PROFESSORV.SUNDARARAJAN."— Presentation transcript:

1 SEMESTERFIVE SUBJECT CODEMA1256 PROFESSORV.SUNDARARAJAN

2 UNIT-IPROPOSITIONAL CALCULUS

3  PROPOSITIONS  LOGICAL CONNECTIVES  COMPOUND PROPOSITIONS  CONDITIONAL & BI-CONDITIONAL PROPOSITIONS @ TRUTH TABLES  TAUTOLOGY & CONTRADICTION  CONTRA+VE  LOGICAL EQUIVALENCE & IMPLICATION

4  DEMORGAN’S LAW  NORMAL FORMS  PRINCIPAL NORMAL FORMS @ CONJUCTIVE & DISJUNCTIVE  RULES OF INFERENCE  ARGUMENTS  VALIDITY OF ARGUMENTS

5 UNIT-IIPREDICATE CALCULUS

6  PREDICATES  STATEMENT FUNCTION  VARIABLES  FREE & BOUND VARIABLES  QUANTIFIERS  UNIVERSE OF DISCOURSE  LOGICAL EQUIVALENCE & IMPLICATION

7  THEORY OF INFERENCE  RULES OF UNIVERSAL SPECIFICATION & GENERALISATION  VALIDITY OF ARGUMENTS

8 UNIT-III SET THEORY

9  BASIC & NOTATIONS  SUBSETS  ALGEBRA OF SETS  POWER SET  ORDERED PAIR & CARTESIAN PRODUCT  SET RELATIONS & PROPERTIES  RELATIONAL MATRIX & GRAPH OF RELATION

10  PARTITIONS  EQUIVALENCE RELATION  PARTIAL ORDERING  POSET  HASSE DIAGRAM  LATTICES  SUBLATTICES  BOOLEAN ALGEBRA  HOMOMORPHISM

11 UNIT-IV FUNCTIONS

12  DEFINITIONS  CLASSIFICATIONS  TYPES  EXAMPLES  COMPOSITIONS  INVERSE FUNCTIONS  BINARY & n-ARY OPERATIONS

13  CHARECTERISTICS FUNCTIONS  HASHING FUNCTIONS  RECURSIVE FUNCTIONS  PERMUTATION FUNCTIONS

14 UNIT-V GROUPS

15  ALGEBRAIC SYSTEMS  DEFINITIONS  PROPERTIES  SEMIGRROUPS  MONOIDS  HOMOMORPHISM  SUB –SEMIGROUPS  SUB-MONOIDS

16  LAGRANGE’S THEOREM  NORMAL SUBGROUPS  NORMAL ALGEBRAIC SYSTEM  CODES & GROUP CODES  BASIC NOTIONS FOR ERROR CORRECTION  ERROR RECOVERY IN GROUP CODES

17 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

18  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

19  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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