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MDU Mathematical Foundation of Computer Science - Sem I
No Units Titles Sub Titles Chapters
1 Unit 1 Relation Relations, Properties of Binary relation, Matrix representation of relations, Closures of relations, Equivalence relations, Partial order relation Function Types, Composition of function,Recursively defined function VIEW CHAPTERS
2 Unit 2 Algebraic Structures Properties, Semi group, Monoid, Group, Abelian group, Subgroup, Cyclic group, Cosets, Normal Subgroups, Lagrange s Theorem, Permutation groups VIEW CHAPTERS
3 Unit 3 Propositional Logic Prepositions, logical operations, Tautologies, Contradictions, Logical implication, Logical equivalence, Normal forms, Theory of Inference and deduction Predicate Calculus Predicates and quantifiers Mathematical Induction VIEW CHAPTERS
4 Unit 4 Lattices and Boolean Algebra Introduction to defining language, Kleene Closure, Arithmetic expressions, Chomsky Hierarchy, Regular Expressions, Generalized Transition graph VIEW CHAPTERS
5 Unit 5 Graph Conversion of regular expression to Finite Automata, NFA, DFA, Conversion of NFA to DFA, Optimizing DFA, FA with output Moore machine, Mealy machine, Conversions VIEW CHAPTERS
 
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