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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 2024, 2023, 2022 Sem I, II, III, IV, V, VI examinations of all subjects.

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Course Name        BCA (Bachelor of Computer Application)

Subject Code       BC0039 (Discrete Mathematics)

Get Questions        PART - A    PART - B    PART - C

Discrete Mathematics Syllabus.

Unit 1 Sets relations and functions
Sets, relations , functions , intervals , functions of real variable , different functions

Unit 2 Mathematical induction
Progressions, principle of mathematical induction, summation of series using , arithmetico-geometric series , summation of series by the method of differences and partial fractions ,

Unit 3 Combinatorics
Principles of counting, generating functions, partitions and compositions, orderings, principle of inclusion and exclusion

Unit 4 Recurrences and integer functions
Recurrence relation, applications of recurrences, generating function, and integer functions

Unit 5 Partially ordered sets and lattices
Relation matrices, partial ordered sets, lattices, duality , modular and distributive lattices

Unit 6 Semi groups, monoids and groups
Semi groups, monoids, groups, permutation groups

Unit 7 Rings, fields and vector spaces
Rings and integral domains, fields, vector spaces

Unit 8 Propositional calculus and logical quantifiers
Logical inference, propositions and tautologies, predicates, logical quantification of propositions

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