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Home > Download > SMU - Question Paper > MCA > MC0063

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 2022, 2021, 2020 Sem I, II, III, IV, V, VI examinations
of all subjects.

SMU question test set of old,
last and previous year are updated
regularly and it is absolutely free to use. Question paper includes Visual basic 6, VB.Net, C#, ASP.Net,
Web, Oracle, Database, SQL, Software Engineering, C, C++, OOPS, MBA, MCA, BSC IT I have requested
you kindly send me the question paper of Discrete Mathematics, SMU - Master of Computer Application.

__Course Name__
MCA (Master of Computer Application)

__Subject Code__ MC0063 (Discrete Mathematics)

__Get Questions__
__PART - A__
__PART - B__
__PART - C__

**Discrete Mathematics Syllabus. **

**Part 1: Sets, Relations and Functions
**Sets; Relations; Functions; Intervals; Functions of real variables;
Different functions.

**Part 2: Mathematical Induction
**Progressions; Principle of Mathematical Induction; Summation of series using
n, n2 and n3.; Arithmetico – Geometric series (A.G.P); Summation of series by
the Method of Differences and partial fractions.

**Part 3: Combinatorics
**Principles of Counting; Generating Function; Partitions and Compositions;
Orderings; Principle of Inclusion and Exclusion.

**Part 4: Recurrences and Integer
**Functions Recurrence Relation; Applications of Recurrences; Generating
Function; Integer Functions.

**Part 5: Partially Ordered Sets and Lattices
**Relation Matrices; Partial Ordered Sets; Lattices; Duality; Modular and
Distributive lattices.

**Part 6: Semigroups, Monoids and Groups
**Semigroups; Monoids; Groups; Permutation Groups.

**Part 7: Rings, Fields and Vector Spaces
**Rings and Integral domains; Fields; Vector Spaces.

**Part 8: Propositional Calculus and Logical
Quantifiers
**Logical Inference; Propositions and Tautologies; Predicates; Logical
Quantification of Propositions.

**Part 9: Preliminaries
**Sets; Functions; Equivalence Relations; Algebraic Systems; Algorithms.

**Part 10: Theory of Numbers and Introduction
to Cryptography
**Divisibility and Factorization; Congruence; Arithmetical Functions; Method
of Repeated Squares; Applications to Cryptography.

**Part 11: Formal Languages
**Grammars and Languages; Classification of Grammars; Backus – Naur Form (BNF);
Derivation Trees.

**Part 12: Boolean Algebras and Logical
Circuits
**Posets and Lattices; Boolean lattices and Boolean algebras; Uniqueness of
finite Boolean algebras; Boolean Expressions and Normal forms; Logical circuits
and applications.

**Part 13: Finite – State Automata
**Finite State Machine; Non – Determinants Finite State Automaton (NDFSA);
Languages accepted by an automation; Turing Machine.

**Part 14: Algebraic Codes
**Preliminaries; Hamming Distance; Linear Codes; Parity Check, Generator
Matrices.

**Part 15: Fuzzy Sets and Fuzzy Logic
**Fuzzy sets; Fuzzy Relations; Classical logic and Fuzzy logic; Linguistic
variable; Fuzzy Truth Qualifier.

**Part 16: Graphs
**Preliminary Definitions and Notations.

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