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# Study Discrete Mathematical Structures - MCA Subject

## STUDY - Sets, Relations and Functions:

Property of binary relations, equivalence, compatibility, partial ordering relations,
hasse diagram, functions, inverse functions, composition of functions, recursive functions.
Mathematical Logic: Logic operators, Truth tables, Theory of inference and deduction, mathematical calculus,
predicate calculus, predicates and quantifiers.

## STUDY - Groups and Subgroups:

Group axioms, Monoids , semi groups, Isomorphism, homomorphism , automorphism.

## STUDY - Lattices and Boolean Algebra:

Truth values and truth tables, the algebra of propositional functions, Boolean
algebra of truth values.

## STUDY - Combinatorics and Recurrence Relations:

Permutation, Combination, Principle of Inclusion and Exclusion,
Recurrence Relations, Generating Functions

## STUDY - Graph theory:

Basic Concepts of Graphs and Trees, Adjacency and Incidence Matrices, Spanning Tree,
Transitive Closure, Shortest Path, Planar Graphs, Graph Coloring, Eularian and Hamiltonian graphs,
Applications of Graph Theoretic Concepts to Computer Science.

## MCA Subjects

 Advanced Computer Architecture Theory of Computation Advanced course in Software Engineering Advanced DBMS Artificial Intelligence Bioinformatics Algorithms Business Accounting Compiler Design Computer Graphics Computer Organization and Architecture Data and File Structures Data Communication and Computer Networks Database Management Systems Design Methods and Analysis of Algorithms Discrete Mathematical Structures Distributed Systems E commerce Information Retrieval and Web Mining Internals of UNIX OS and Network Programming Introduction to Computer Programming through C Introduction to Cryptography Numerical Computing Object Oriented Programming through JAVA Operating System Concepts Operation Research Parallel Computing Quantum Computing Science of Programming Simulation and Modeling Soft Computing Techniques Software Engineering

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