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# Discrete Mathematics

This is the collection of Sikkim Manipal University (SMU) question and answers for Discrete Mathematics . It will help to prepare your examination. All question paper are classified as per semester, subject code and question type of Part A, Part B and Part C with multiple choice options as same as actual examination. SMU question papers includes year 2023, 2022, 2021 Sem I, II, III, IV, V, VI examinations of all subjects.

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Course Name        BSc IT (Bachelor of Science in Information Technology)

Subject Code       BT0069 (Discrete Mathematics )

Get Questions        PART - A    PART - B    PART - C

Discrete Mathematics Syllabus.

Unit 1: Mathematical Preliminaries.
Sets; Relations; Functions; Basic Number Theory.

Unit 2: Elementary Combinatory
Principle of Counting; Permutation of Distinct Things; Combinations; Partitions and Binomial Coefficients; Principle of Inclusion and Exclusion.

Unit 3: Recurrence Relations
Recurrence Relation; Particular Solution; Generating Functions; Applications of Recurrences Integer Functions.

Unit 4: Partially Ordered
Sets Partially ordered sets; diagram representation of posets

Unit 5: Lattices
Definitions and examples; properties and complemented lattices; distributive Lattices; distributive Lattices.

Unit 6: Algebraic Structures
Semi groups; Monoids; groups; permutation groups.

Unit 7: Propositional Calculus and Quantifiers
Equivalence of formulas; Normal forms; Logical Interference.

Unit 8: Predicate Calculus
Predicates; Quantifiers; Free and Bound Occurrences; rules of interference.

Unit 9: Finite Boolean Algebras
Boolean algebra; Functions of Boolean algebra; Gating Networks.

Unit 10: Formal Languages
Grammars and Languages; Classification of Grammars.

Unit 11: Finite Automata
Basic Terms; Deterministic Finite Automata (DFA); Transition System (Transition graph) Language Accepted by a DFA.

Unit 12: Basic Graph Theory
Definitions and Examples; Adjacency and Degree; Sub graphs; Trees; Properties of Trees Rooted Trees and Applications.

Unit 13: Algebraic Codes and Cryptography
Preliminaries; Hamming Distance; Linear Codes; Introduction to Cryptography.

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