MA6566 Discrete Mathematics Scanned Lecture Notes (All Units) - Lavanya Edition

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    20-02-2015, 11:29 AM #1
       
    Anna University , Chennai
    Department of B.E-Computer Science and Engg
    (Common to B.Tech I.T)
    Fifth Semester
    MA2265 Discrete Mathematics 
    Scanned Handwritten Lecture Notes (All Units)
    (Regulation 2013)

    Discrete Mathematics (All Units) Handwritten Premium Lecture Notes, Prepared by Kamala Priya. Specially for Engineering Candidates. Syllabus Covered based on Anna University B.E CSE and B.Tech Engineering Fifth Semester, R2008 and R2013 Regulation.

    Syllabus :
    DISCRETE MATHEMATICS

    UNIT -1 (pages: 24) : LOGIC ANG PROOFS
    UNIT-2 (pages: 89) : COMBINATORICS
    UNIT-3 (pages: 37) : GRAPHS
    UNIT-4 (pages: 12) : ALGEBRAIC STRUCTURE
    UNIT-5 (pages: 7) : LATTICES AND BOOLEAN ALGEBRA


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    Content :
    UNIT -1

    LOGIC ANG PROOFS
    Proposition
    Connectives
    Compound statements
    Basic connectives
    Truth table for connectives
    Tautology
    Contradiction
    Contingency
    Tautological implication
    Normal forms
    1. Elementary product
    2. Elementary sum
    3. Disjunctive normal form
    4. Conjunctive normal form
    Principle normal form
    Principle disjunctive normal forms
    Principle conjunvtive normal forms

    UNIT-2

    COMBINATORICS
    Principle of mathematical induction
    Pigeon hole principle
    Generalized pigeon hole principle
    Combination
    Recurrence relation
    Linear non – homogeneous RR with constant coefficient
    Generating function


    UNIT-3

    GRAPHS
    Graph
    Self – loop
    Parallel edges
    Incident
    Adjacent vertices
    Adjacent edges
    Simple graph
    Isolated graph
    Isolated vertex
    Pendentant vertex
    Directed edges
    Digraph
    Undirected graph
    Mixed graph
    Multi graph
    Pseudo graph
    Degree of vertex
    In degree and out degree
    Handshaking theorem
    Regular graph
    Bipartite graph
    Complete bipartite graph
    Path
    Length of path
    Cycle or circuit
    Reachable
    Connected graph
    Sub graph
    Adjacency matrix of a simple graph
    Incidence matrix
    Path matrix
    Graph isomorphism
    Complement of a graph
    Unilaterally connected
    Strongly connected
    Euler’s graph
    Eulerian circuit
    Eulerian graph
    Konisberg bridge problem

    UNIT-4

    ALGEBRAIC STRUCTURE
    Semi group
    Monoid
    Cyclic monoids
    Morphism of semi – groups
    Order of a group


    UNIT-5

    LATTICES AND BOOLEAN ALGEBRA
    Relation
    R-is reflexive
    R is symmetric
    R- is transitive
    R – is anti symmentric
    Equivalence relation
    Partial order relation
    Patially ordered set
    Least elements
    Greatest elements
    Upper bound and lower bound
    Least upper bound
    Greatest lower bound

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