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DISCRETE MATHEMATICAL STRUCTURES
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UNIT - I
Foundations
Sets
Relations and Functions
Methods of Proof and Problem Solving Strategies
Fundamentals of Logic
Logical Inferences
Methods of Proof of an Implication
First Order Logic & Other methods of Proof
Rules of Inference for Quantified propositions
Mathematical Induction
UNIT - II
Elementary Combinatorics
Basics of Counting
Combinations and Permutations
Enumeration of Combinations and Permutations
Enumerating Combinations and Permutations with repetitions
Enumerating Permutation with Constrained repetitions
Recurrence Relations
Generating Functions of Sequences
Calculating Coefficients of Generating Functions
UNIT - III
Recurrence Relations
Solving recurrence relations by substitution and Generating functions
The methods of characteristic roots
solutions of inhomogeneous recurrence relations
Relations and diagraphs
Special properties of Binary Relations
Equivalence relations
Operations on relation
UNIT - IV
Ordering Relations
Lattices and Enumerations
Paths and Closures
Directed Graphs and Adjacent Matrices
Application : Toplological Sorting
Graphs
BasiC Concepts
Isomorphisms and Subgraphs
Planer Graphs
Euler's Formula
Multigraphs and Euler Circuits
Hamiltonian Graphs
Chromatic Numbers
The Four Color Problem
Computer Science
Discrete Mathematical Structures
Engineering
Ist Semester
Bapatla Engineering College
Yearbook
Acharya Nagarjuna University
3rd
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