BCA Bachelor of Computer Applications Part 1
University Syllabus Course For BCA Discrete MathsAtlanta Computer Institute Nagpur conducts Tuition Classes for BCA First Year ( Part 1 ) , BCA Second Year ( Part 2 ) and BCA Final Year ( Part 3 ) for all universities in India . The Following syllabus is of Nagpur University. Final Year Projects Training is also given to BCA Students.
BCA Part 1 ( First Year )
SUBJECT-III ANALYTIC COMPUTATION
Paper-1 : DISCRETE MATHEMATICAL STRUCTURE
Unit-1: Fundamental
Sets and subsets, operation on sets, Sequences, division in the integers, matrices, Mathematical structure. Logic- proposition and logical operations, Conditional Statement, Methods of proof, Mathematical induction.
Unit-2 : mathematical logic
Statement and notation, connectivities, Normal Forms, The theory of Inference for the Statement calculus. The predicate calculus, Inference theory of the predicate calculus
Unit-3 Counting
Permutation, combinations, the pigeon hole principle, recurrence relations and digraphs-product sets and partitions, relations and Digraphs, paths in relations and digraphs, properties of relations , equivalence relations, computer representation of relations and Digraphs, maniu[pulatio n of relations, transitive closure and warshall’s algorithm.Functions- definition and introduction , function for computer science, permutation functions, growth of functions
Unit-4 : graph theory
Basic concept of graph theory, euler paths and circuits,Hamiltonian paths and circuits. Other relation and structure – partaily Ordered sets,Lattices,Finite Boolean algebras, functions of Boolean algebras, Boolean function as Bollean polynomials. Tress - introduction ,undirected trees, minimal spanning ttrees.
Unit-5 : Semi groups and groups
Binary Operations revisited, Semi groups, products and quotient s of Semigroups,groups,product s and quotients of groups. Introduction to compatibility Theory-Languages , Finite state Machines, semigroups,Machines and languages
BCA Bachelor Of Computer Application, BCCA, Bachelor of Commerce & Computer Application BE IT/CS, Information technology/Computer Science MCA, Master of Computer Application MCM, Master of Computer Management Diploma , Polytechnic Others,