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MA3354 Discrete Mathematics

MA3354 Discrete Mathematics Study Materials

Anna University – MA3354 Discrete Mathematics Regulation 2021 Syllabus, Notes, Important Questions, Question Paper with Answers, Previous Year Question Paper.

UNIT I LOGIC AND PROOFS MA3354 Discrete Mathematics Syllabus

Propositional logic – Propositional equivalences – Predicates and quantifiers – Nested quantifiers – Rules of inference – Introduction to proofs – Proof methods and strategy.

UNIT II COMBINATORICS MA3354 Discrete Mathematics Notes

Mathematical induction – Strong induction and well ordering – The basics of counting – The pigeonhole principle – Permutations and combinations – Recurrence relations – Solving linear recurrence relations – Generating functions – Inclusion and exclusion principle and its applications.

UNIT III GRAPHS MA3354 Discrete Mathematics Important Questions

Graphs and graph models – Graph terminology and special types of graphs – Matrix representation of graphs and graph isomorphism – Connectivity – Euler and Hamilton paths.

UNIT IV ALGEBRAIC STRUCTURES MA3354 Discrete Mathematics Question Bank

Algebraic systems – Semi groups and monoids – Groups – Subgroups – Homomorphism’s – Normal subgroup and cosets – Lagrange’s theorem – Definitions and examples of Rings and Fields.

UNIT V LATTICES AND BOOLEAN ALGEBRA MA3354 Discrete Mathematics Question Paper

Partial ordering – Posets – Lattices as posets – Properties of lattices – Lattices as algebraic systems – Sub lattices – Direct product and homomorphism – Some special lattices – Boolean algebra – Sub Boolean Algebra – Boolean Homomorphism.

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TEXT BOOKS: MA3354 Discrete Mathematics

1. Rosen. K.H., “Discrete Mathematics and its Applications”, 7th Edition, Tata McGraw Hill Pub. Co. Ltd., New Delhi, Special Indian Edition, 2017.
2. Tremblay. J.P. and Manohar. R, “Discrete Mathematical Structures with Applications to Computer Science”, Tata McGraw Hill Pub. Co. Ltd, New Delhi, 30th Reprint, 2011.

REFERENCES:

1. Grimaldi. R.P. “Discrete and Combinatorial Mathematics: An Applied Introduction”, 5thEdition, Pearson Education Asia, Delhi, 2013.
2. Koshy. T. “Discrete Mathematics with Applications”, Elsevier Publications, 2006.
3. Lipschutz. S. and Mark Lipson., “Discrete Mathematics”, Schaum’s Outlines, Tata McGraw Hill Pub. Co. Ltd., New Delhi, 3rd Edition, 2010.

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