GSET : COMPUTER SCIENCE AND APPLICATIONS : SYLLABUS PAPER CODE : 19 Unit-1 Discrete Structures and Optimization · Mathematical Logic: Propositional and Predicate Logic, Propositional Equivalences, Normal Forms, Predicates and Quantifiers, Nested Quantifiers, Rules of Inference. · Sets and Relations: Set Operations, Representation and Properties of Relations, Equivalence Relations, Partially Ordering. · Counting, Mathematical Induction and Discrete Probability: Basics of Counting, Pigeonhole Principle, Permutations and Combinations, Inclusion- Exclusion Principle, Mathematical Induction, Probability, Bayes’ Theorem. · Group Theory: Groups, Subgroups, Semi Groups, Product and Quotients of Algebraic Structures,...
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