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