Discrete Structure lecture_1

Apr 28th, 2015
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It includes all the details about the Discrete structure with examples.Step by step solution.

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DISCREAT STRUCTURELECTURE # 1LOGICKHAWAJA TARIQ MAHMOODLecture # 1LOGICDiscrete Structures - ICredit Hours: 3+0 Course Code: CS-114Pre-Requisite: NoneObjective:This course introduces the foundations of discrete mathematics as they apply to ComputerScience, focusing on providing a solid theoretical foundation for further work. Further, thiscourse aims to develop understanding and appreciation of the finite nature inherent in mostComputer Science problems and structures through study of combinatorial reasoning, abstractalgebra, iterative procedures, predicate calculus, tree and graph structures.Course Outline:Introduction to logic and proofsDirect proofsproof by contradiction, Sets, Combinatorics, Sequences, Formal logic,Prepositional and predicate calculusMethods of ProofMathematical Induction and Recursionloop invariantsRelations and functionsPigeon whole principleTrees and GraphsElementary number theoryOptimization and matchingFundamental structuresFunctions (surjections, injections, inverses, composition)Khawaja Tariq Mahmood.Page 2Lecture # 1LOGICRelations (reflexivity, symmetry, transitivity, equivalence relations)sets (Venn diagrams, complements, Cartesian products, power sets)pigeonhole principleCardinality and countability.Recommended Books:i.Discrete Mathematics and Its Applications, 5th edition; by Rosen; McGrawH

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