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The Test will consist of three papers. All the three papers will consist of only objective type questions :
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Paper-I shall be of general nature, intended to assess the teaching/research aptitude of the candidate. It will primarily be designed to test reasoning ability, comprehension, divergent thinking and general awareness of the candidate. Sixty (60) multiple choice questions of two marks each will be given, out of which the candidate would be required to answer any fifty (50). In the event of the candidate attempting more than fifty questions, the first fifty questions attempted by the candidate would be evaluated.
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Paper-II shall consist of 50 objective type compulsory questions. Each question will carry 2 marks.
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Paper-III will consist of 75 objective type compulsory questions.Each question will carry 2 marks. All questions of Paper-II and Paper-III will be compulsory, covering entire syllabus (including all electives, without options).
The candidate will have to mark the responses for questions of Paper-I, Paper-II and Paper-III on the Optical Mark Reader (OMR) sheet provided along with the Test Booklet.
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Paper-II
1. Discrete Structure
Sets, relation, Functions, Pigeonhole Principle, inclusion -Exclusion Principle, Equivalence and Partial orderings, elementary counting techniques Probability, Measures for Information and total information.
Compatibility: Model of computation-Finite Automata, Pushdown Automata, Non-determinism and NFS, DPDA and PDAs and languages accepted by these structure, Grammars languages, non compatibility and example of non computable problems.
Graph-Definitions walks paths, trails, connected graphs, regular and bipartite graphs, cycles and circuits, tree and rooted tree, spanning tr
ees, eccentricity of a vertex radius and diameter of a graph, central graphs, centers of a tree, Hamiltonian and Eulerian graphs, planar graphs.
Group: Finite field and error correcting / detecting codes.
2. Computer Arithmetic
Proportional (Boolean Logic), Predicate Logic, Well formed formula (WFF), Satisfactory and tautology.
Logic Families: TTL, ECL and C-MOS sates, Boolean algebra and minimization of Boolean functions, Flip-Flop types race conditions and comparison, Design of combinational and sequential circuits.
Representation of Integer: Octal, Hex, Decimal and Binary, 2;s Complement and 1′s complement arithmetic, Floating point representation.
3. Programming in C and C++
Programming in C: Element of C-Tokens, Identifiers, Data types in C, Control structure in C, Sequence selection and iteration, Structured data types in C-arrays, structure, union, string an pointers.
O-O Programming concepts: Classes , Object, installation, Inheritance, Polymorphism and overloading.
C++ Programming: Element of C++ Tokens,. identifiers, Variable and constants, Data types, Operator, Control Statement, Function parameter passing, Class and object, Constructor and destructor, overloading inheritance temples , exception handling.
4. Relational database design and SQL
E-R Diagram and their transformation to relation design, normalization -INF, 2NF and BCNF.
SQL: Data definition language(DDL) Data manipulation language (DML), Data control language (DCL) commands database objects like. Views indexes, sequences , synonyms , data dictionary.
5. Data and file Structure
Data Structure:Data information ,definition of data structure, arrays, stacks, queues, linked lists, trees,. graphs, priority queues, and heaps.
File Structure: Fields, records, and files sequential direct, index Sequential and elative files Hashing, inverted lists multi list, B trees and B+ trees.
6. Computer Network
Network Fundaments: Local area Network (LAN), metropolitan Area Network *(MKAN), Wide area Network (WAN)m, Wireless Network , Inter Network.
Reference Model: The OSI model , TCP/IP model
Data Communication: channel capacity. Transmission media. Twisted pair Coaxial cables, Fiber optic cables, Wireless transmission -radio, microwave infrared and millimeter waves Light wave transmission , telephones-local loop, trunks, multiplexing switching, narrowband ISDNm broadband ISDNm ATM, High speed LANs, Cellular radio Communication satellite-Geosynchronous and low orbit
Internetworking: Switch/Hub . Bridge, router, Gateways Concatahetsd virtual circuits, Tunneling, Fragmentation Firewalls
Routing: Virtual circuits and datagram’s, Routing algorithms , congestion control
Network Security: Cryptography-Public key, Secret Key, domain Name System (DNS), electronics mail and worldwide web (WWW), the DNs Resource Records Name Services, E-Mail Architecture and Servers.
7. System Software
Assemble language fundamental (8085 based assembly language programming), Assemblr-2 pass and single pass, Macros and Microprocessor
Loading , linking, program recordable, linkage editing
text editor programming environments debugger and program generator
Compilation and interpretation, Bootstrap compiler. Phase of Compilation process, Lexical analysis, Lex package on UNIX System
Context free grammar, Parsing and parse trees, representation pf parse (derivation) trees as nightmare and leftmost derivation , Bottom up parsers=-Shift reduce, operator, precedence, and LR . YACC package an on UNIX system
Top down parses-Left recursion and its removal , recursive descend pares. Predictive parses, Intermediate codes, Quadruples, Triples, Intermediate code generation , Code generation, Code optimization
8. Operating System(with Case study of UNIX)
Main function of operating system, Multiprogramming multiprocessing and multitasking
Memory management: Virtual memory, Paging, fragmentation
Concurrent processing: mutual exclusion, critical regions, locks ad unlock
Scheduling: CPU Scheduling. I/o Scheduling, resource scheduling, Banker’s Algorithm for deadlock handling
UNIX
The Unix system: File system,. process management, bourne shell shell variables, command line programming
Filters and commands: Pr, Head , tail, cut paste. siort, uniq, tr, join, etc…Grep, egrep, fgrep etc, sed, awk, etc.
System calls (like): create, open, close, read, write, seem link, unlink, stat, fstat, unmask, chmos, exec, fork, wair, system.
9. Software engineering
System development cycle(SDCL) : Steps, water fall model, Prototypes, Spiral model
Software Metrics : Software Project Management
Software Design : System Design , Detailed design., function oriented design, Object oriented design, user interface design, Design level metrics
Coding and testing : testing level metrics, Software quality ad reliability, clean room approach, Software reengineering
10. Current Trends and Technologies
The topic of current interest in Computer Science and Computer application hall be recovered. The expert shall use their judgment from time to time to include the topics of popular interest , which are expected to be known for an application development software professional they include
Parallel computing:Parallel virtual machine (PVM), and message passing interface (mpi), libraries and calls, Advanced architecture, Today’s fastest computers.
Mobile Computing:Mobile Connectivity-Cells, Framework, wireless delivery technology and switching methods, mobile information access devices , mobile data internetworking standards, cellular data communication protocols , mobile computing application, Mobile database-Protocol, scope, tools, and technology, M-Business
E-Technology:Electronic Commerce: Framework , Media convergence of Application, Consumer application , Organization application
Electronic payment System: Digital SyToken, Smart Cards, Credit Cards, Risks in Electronics Payment system Designing electronic payment system
Electronic Data Interchange (EDI): concept, Application (legal security and privacy), Issues, EDI and Electronic commerce Standardization and EDI, EDI Software implementation, EDI , envelope for message Transport, Internet-based EDI
Digital Libraries and Data warehousing: Concept , Types of Digital Documents , Issues behind document infrastructure, Cooperate data warehouses
Software Agents: Chaatetstics and Properties of Agents Technology behind software agents(Applets, Browser and Software Agents)
Broad band Telecommunication: Concept, Frame relay, Cell relay, Switched Multimegabite Data Services, Asynchronous, Transfer Mode
Main Concepts in geographical Information System (GIS), E-Cash E-Business, ERP packages
Data Ware housing: Data Ware housing environments, Architecture of a data warehouses methodology, Analysis design, Construction and administration
Data Mining: Extraction models and pattern form large database , data miming techniques , classification regression, clustering summarization, dependency modeling, link analysis, sequencing analysis, mining scientific and business data.
Windows Programming:Introduction to Windows programming: Win32 Microsoft Foundation Classes (MFC), Documents and views, Resources message handling n windows
Simple Application (in windows):Scrolling. splitting views. docking toolbars status bar, common dialogue
Advanced Windows Programming:Multiple document Interface (MDI), Multiplex threading, Object linking and Embedding (OLE), Active X control Active template Library (ATL), Network programming.
Paper-III(A)
Core Group
1.Digital Systems and Microprocessors
Combinational circuit design, Sequential Circuit design, Hardware ad Micro programmed processor design, Instruction formats, Addressing models Memory types and organization, Interfacing peripheral devices, Interrupts
Microprocessor architecture, Instruction set and Programming (8085. P-III/P-IV), Microprocessor applications
2.Database Management Systems
Database concepts, ER diagrams, Data model, Design of Relational Database, Normalization, SQL and QBE, Query Processing and Optimization, Centralized and Distributed Database, Security, Concurrency an recovery in centralized and Distributed Database System, Object oriented Database Management System (Concept, composite object , Integration with RDBMS application), ORACLE
3.Computer Graphics
Display system , input devise, 2D, geometry, Graphics operation, 3D Graphics, Animation Graphic Standard, Application
concepts, Storage Devices, Input Tools, Authoring Tools, Application files
4.Programming Concepts
Programming language , concepts, Paradigm and models
Data , Data types, Operators, Expressions, Assignments , Flow of control-Control Structure, I/O Statement, User Defined and Built in Function parameter passing
Principles , Classes, Inheritance, Class hierarchies, Polymorphism, Dynamic binding, reference semantics and their implementation
Principles, functions, lists, types and polymorphism, higher order functions lazy evaluation equations and pattern matching
Principles , horn clauses and their execution, logical variables relations, data structure, Controlling the search order, programme development in prolog implementation of prolog, example programme in prolog
Principle of parallelism co routines, Communication and execution, Parallel virtual Machine (PVM) and message passing interface (MPI), routine an calls , Parallel programmes in PVM paradigm a swell as MPI, paradigm for simple problems like matrix multiplication
Preconditions , post conditions, axiomatic approaches for semantic, correction’s denotation semantics
Complier structure, Compiler construction tools, coalition phases
Finite Automata, Pushdown Automata, Non-Determinations, and NFA, DPDA and PDAs and language accepted by these structure, Grammars, language-Types of grammar-type,0, type 1, tope 2, type 3, The relationship between types of grammars, and finite machine, Pushdown automata and context free Framers, Lexical Analysis-regular express and regular languages.LEX pacemaker on UNIX, Conversion of NFA to DFA minimizing the number of states in a DFA, Compilation an interpretation Bootstrap Compilers
Context free grammars, Parsing and parse trees, representation of parse trees as rightmost ma leftmost derivation. Bottom up parsers-shift reduce, operator precedence an LR, YACC package on UNIX, system, Top down parsers-Left recursion and its removal , recursive descent Parsers, Predictive parser Intermediate codes-Quadruples, triples, Intermediate code generation, Code generation , Code optimization
5.Data Communication and Networks
Analogue and Digital Transmission, Asynchronous and Synchronous transitions Transmission media, Multiplexing and Concentration Switch if techniques Polling
Topologies m Networking devices, OSI, Reference Model Protocol for -(i) Data link layer, (ii) Network layer and (iii) Transpire layer , TCP/IP Protocol Network security, Network Administration
6.Data Structures and Algorithms
Definition , simple and composite structure, Arraue lists, stacks queues, Priority Queues, Binary trees , B-Trees Graphs
Sorting searching Algorithms, Analysis of algorithms, Interpolation and Binary search, Asymmetric notation, Bih ohm, Omega and Theta, Average case case analysis of simple programmes like finding of maximum of n elements, recursion and its systematic removal, Quicksort-Non-recurive implementation with minimal stake storage, Design of algorithm(divide and Conquer, greedy method, Dynamic programming Back tracking, Brach and Bound(), Lower bound theory, Non-deterministic algorithm Non-Deterministic algprogramming, construct, Simple non-deterministic programs, NP-hard and NP-complete problems
7.OOP and Web Technologies
Object, message, classed, encapsulation, inheritance, polymorphism, aggregation, abstract, lasses, generalization and extension and restriction m Object oriented design, Multiple, inheritance metadata
HTML, DHTML, XML, Scripting, JAVA, Sevelets, Applets
8.Advanced Software Engineering
Software development models, Requirement analysis and specification software design Programming techniques and tools software validation and quality assurance techniques, Software maintenance and advanced concepts , Software management
9.Operating Systems
Introduction, memory management, Support for concurrent process Scheduling, System deadlock, Multiplexing system , I/O Management distributes operating system Study of UNIX and Window NT
10.Artificial Intelligence
Definition, AI approach foe sloping problems
Automated Reasoning with propositional logic and predicate logic-Fundamental proof procedure, Refutation , resolution refinement to resolution (ordering/Pruning/Restriction strategies)
State solace representation of problems, Bounding functions, breadth first depth first, A, A*, AO* etc performance, comparison of various techniques
Frame, scripts, Semantic nets, production systems, Procedurural representation , Prolog programming
Components of an expert system, Knowledge representation and acquisition techniques, Building expert system and shell
RTNs. ATBNS. Parsing of Ambiguous, CFGs Tree Adjoining Grammars (TAGs)
Systems approach to planning , designing, Development, Implementation and evaluation of MIS
Decision making process, evaluation of DDS, Group decision support system And case studies, Adaptive design approach to DSS development, Cognitive style in DSS, Integrating experts and decision support systems
Paper-III(B)
[Elective/Optional]
1.Finite Automata and Formal Languages
Theoory of computation: Formal language, need for formal computational model, Non-Computational model on computational problems, Diagonal argument and Russell’s paradox
Deterministic Finite Automata(DFA), Non deterministic finite Automaton (NFA),Digital languages ad regular sets Equivalence, of DFA, and NFA
Minimizing the numbers of state of a DFA, non regulate language m, and pumping lemma
Pushdown Automaton (PDA. Deterministic, Pushdoam Automaton (DPDA), No equivalence of PDA and DPDA
Context free grammars: greenback Normal form (GNF) ad Chomsky Normal Form (CNF), Ambiguity , Parse Tree, representation of derivation, Equivalence of PDA’s and CFG;s Parsing techniques for parsing of general CFG’ -Early’s Cook-Kassami-YUNGer (CKY) and Tomitta parsing
Linear Bounded Automaton (LBA): Power of LBA , Closure Properties
Turing Machine (TM) : One tape, Multiple, the notion of time and space complexity in terms of TM, Construction of TM for simple problems, Computational Complexity
Chomsky Hierarchy of Languages: Recursive and Recursively enumerable language
2.Information Theory and Coding
Model for information Channel: Discrete Memory less channel, Binary Symmetric Channel(BSC), Burst channel, Bit-error rates, Probability, entropy and Shannon’s measure of information, Mutual information, channel capacity theorem, rate and optimally of information transform mission
Variable Length codes: Prefix Codes, Human Codes, lempel -Ziew (LZ) Codes, Optimally of these cases Information content of these codes
Error Correcting and detecting Codes: Finite fields, Hamming Distance, Bounds of Codes, Linear (Party check) Codes, Parity check matrix, generator Matrix, Decoding of linear codes, Hamming Codes
Image Processing: Image Processing, Spatial Fourier, Transform Discrete Spatial Fourier Transform Restoration , Loss compression of image s(pictures)
Data compression techniques :representation and compression of text, sound, picture, and video files based of MPEG and JPEG standards
3.Operation Research
Linear programming Problem: Linear programming Problem (LPP) in the standard form, LPP in canonical form, conversion of LPP in Standard form to LPP in Canonical form
Simplex-Prevention of cyclic computation in simplex and Tableau,. Big-M method, Dual Simplex and reviewed simplex
Complexity of simple Algorithm(s), Exponential behaviors of simplex
Ellipsoid method and Karmakar’s Method for solving LPPs . Solving simple LLPs through theses methods, comparison of complexity of theses methods
Assignment and Transportation Problems: Simple algorithm like Hungarian method etc
Shortest Path Problems: Dijkstra’a and Moore’s method Complexity
Network Flow problem: Formulation, Max Flow min-Cut Theorem. Ford and Fulkerson;s algorithm,. Exponential behavior of f rod and fulkerson;s alorithim, Malhotra-Promod KUMar-Maheswari (MPM), Polynomial Method for solving network problem, Bipartite Graphs and Matching, Solving matching using network flow problems
Matriods: Definition, Graphic and co graphic matriods, Matriods intersection problem
Non-Linear programming: Kuhn-Tucker conditions, Convex function and Convex region, Convex programming problems, Algorithms for solving convex programming problems-Rate of convergence of iterative method for solving theses problems.
4.Neural Network and Fuzzy Systems
Neural network: Perception Model, Linear Severability and XOR problem, Two and three layered neural network, Backprpaogation-Convergence, Hopfield nets, Neural net Learning, Application
Fuzzy System:Definition of a Fuzzy set, Fuzzy relations, Fuzzy functions, Fuzzy measures, Fuzzy reasoning, App1ications of Fuzzy systems.
5.Unix and Windows
Operating
system, Structure of Unix Operating System, Unix Commands, Interfacing
with Unix. Editors and Compilers for Unix, LEX and YACC, File system,
System calls. Filters, Shell programming
Windows environment, Unicode, Documents and Views, Drawing in a
window, Message handling, Scrolling and Splitting views, Docking
toolbars and Status bars, Common dialogs and Controls, MDI,
Multithreading, OLE, Active X controls, ATL, Database access, Network
programming.
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