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Subject Details
Dept     : CSE-IOT
Sem      : 5
Regul    : 2019
Faculty : R.Nivetha
phone  : 7305524252
E-mail  : nivetha.r.math@snsce.ac.in
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Lecture Notes

UNIT 1:
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Proposition & Connectives
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Tautology & Logical Equivalence
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Normal Forms
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Inference theory of Statement Calculus & Rules of Inference
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Problems based on inference theory of Statement Calculus
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Consistency of premised and Indirect method of proof
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Predicate & Quantifiers
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Problems on Predicate Calculus
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Proof methods and strategy.
UNIT 2:
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Mathematical induction
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Problems on Mathematical induction, Strong induction and well ordering
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The basics of counting
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The pigeonhole principle
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Permutations and combinations
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Recurrence relations
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Solution of Linear Recurrence relations
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Generating functions
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Inclusion and exclusion principle and its applications.
UNIT 3:
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Graphs and graph models
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Graph terminology and special types of graphs
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Handshaking Theorem
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Matrix representation of Graphs
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Isomorphic Graphs
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Connectivity
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Euler & Hamiltonian Paths
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Theorems on Euler & Hamiltonian Paths
UNIT 4:
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Algebraic systems
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Normal Subgroups
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Homomorphism
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Semi groups and monoids
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Groups
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Subgroups
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Cosets
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Lagrange’s theorem
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Def and eg of Rings and fields
UNIT 5:
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Relation & Partial order Relation
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Posets
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Lattices as posets
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Properties of lattices
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Lattices as algebraic systems & Sub lattices
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Lattice homomorphism
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Boolean algebra
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Some special lattices
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Theorems on Boolean algebra