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The syllabus of First Year of MCA (Master in Computer Application) Program offered by Faculty of Information Technology in Osmania University is as follows: SEMESTER- I DISCRETE MATHEMATICS CS 601 Instruction 4 Periods per week Duration of University Examination 3 Hours University Examination 80 Marks Sessional 20 Marks UNIT-I Mathematical Logic: Statements and notation, connectives, Normal Forms, Disjunctive Normal Forms (DNF), Conjunctive Normal Forms (CNF), Principal DNF, Principal CNF. Set Theory: Basic Concepts of Set Theory, Relations and Ordering, Functions and Recursion. UNIT -II Lattices, Boolean Algebra, Representation and Minimization of Boolean functions. Semi-groups, Product and Quotients of Semi-group, Groups, Product and Quotients of Groups, Coding of Binary Information and Error Detection, Decoding and Error Correction. UNIT -III Combinatorics: Basics, Permutations and Combinations with repetitions and Constrained Repetitions, Binomial and Multinomial Theorems, Principle of Inclusion and Exclusion UNIT -IV Graph Theory-l: Basic Concepts, Isomorphism, Sub-graphs, trees and their Properties. Spanning Tree, Directed Trees, Binary Trees UNIT -V Graph Theory-II: Planar Graphs, Euler Formula, Multi-graphs and Euler Circuit, Hamiltonian Circuit, Chromatic Numbers, Four Color Problem Suggested Readings: 1) Jr. P. Trembley and R. Manohar, "Discrete Mathematical structures with Applications to Computer Science", McGraw Hill, 1987. 2) Bernard Kolman, Nadeem Ur Rehaman "Discrete Mathematical Structures" Pearson Education, 2005. 3) J .L. Moth, Abraham Kandel and T .P .Parker, "Discrete Mathematics for Computer Scientists and Mathematicians", PHI, 1976. Syllabus First Year of MCA Osmania University ![]() ![]() ![]() ![]()
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