Paper II
1. Discrete Structures
Sets, relations, Functions, Pigeonhole Principle, inclusion-Exclusion Principle, Equivalence and Partial Orderings, Elementary Counting Techniques, Probability, Measure(s) for Information and Mutual information.
Computability: Models of computation-Finite Automata, Pushdown Automata, Non-determinism and NFA, DPDA and PDAs and Languages accepted by these structures. Grammars, Languages, Non computability and examples of non-computable problems.
Graph: Definition, walks, paths, trails, connected graphs, regular and bipartite graphs, cycles and circuits, Tree and rooted tree, Spanning trees, Eccentricity of a vertex, radius and diameter of a graph, Central Graphs, Center(s) of a tree, Hamiltonian and Eulerian graphs, planar graphs
Groups: Finite fields and Error correcting / detecting codes.
2. Computer Arithmetic
Propositional (Boolean) Logic, Predicate Logic, Well-formed-formulae (WFF), Satisfiability and Tautology
Logic Families: TTL, ECL and C-MOS gates. Boolean algebra and Minimization of Boolean functions, Flip-flops-types, race condition and comparison. Design of combinational and sequential circuits
Representation of integers: 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: Elements of C-Tokens, identifiers, data types in C. Control structures in C. Sequence, selection and iteration(s). Structured data types in C-arrays, struct, union, string, and pointers.
O-O Programming Concepts: Class, Object, instantiation, Inheritance, polymorphism and overloading.
C++ Programming: Elements of C++ - Tokens, identifiers. Variables and constants, Data types, Operators, Control statements. Functions, parameter passing, Class and objects. Constructors and destructors. Overloading, Inheritance, templates, Exception handling.
4. Relational Database Design and SQL
E-R Diagrams and their transformation to relational design, normalization - 1NF, 2NF, 3NF, BCNF and 4NF. Limitations of 4NF 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 Structures
Data, Information, Definition of data structure. Arrays, stacks, queues, linked lists, trees, graphs, priority queues and heaps.
File Structures: Fields, records and files. Sequential, direct, index-sequential and relative files. Hashing, inverted lists and multi-lists. B trees and B+ trees
6. Computer Networks
Network Fundaments: Local area Networks (LAN), Metropolitan Area Networks (MAN), Wide Area Networks (WAN), Wireless Networks, Inter Networks.
Reference Models: The OSI model, TCP/IP model
Data Communication: Channel capacity. Transmission media - twisted pair, coaxial cables, fibre-optic cables, wireless transmission - radio, microwave, infrared and millimetre waves. Light wave transmission. Telephones - local loop, trunks, multiplexing, switching, narrowband ISDN, broadband ISDN, ATM, High speed LANS, Cellular radio, Communication satellites - geosynchronous and low-orbit.
Internetworking: Switch/Hub, Bridge, router, Gateways, Concatenated virtual circuits, Tunnelling, Fragmentation, Firewalls.
Routing: Virtual circuits and datagrams, Routing algorithms, Congestion control
Network Security: Cryptography - public key, secret key. Domain Name System (DNS) - Electronic mail and World Wide Web (WWW). The DNS, Resource Records, Name Servers. E-mail architecture and Servers
7. System Software and Compilers
Assembly language fundamentals (8085 based assembly language programming). Assemblers- 2-pass and single-pass. Macros and macroprocessors
Loading, linking, relocation, program relocatability. Linkage editing
Text editors. Programming Environments. Debuggers and program generators
Compilation and Interpretation. Bootstrap compilers. Phases of compilation process. Lexical analysis. Lex package on Unix system.
Context free grammars. Parsing and parse trees. Representation of parse (derivation) trees as rightmost and leftmost derivations. Bottom up parsers- shift reduce, operator precedence, and LR. YACC package on Unix system.
Top-down parsers- left recursion and its removal. Recursive descent parser. Predictive parser, Intermediate codes- Quadruples, Triples, Intermediate code generation, Code generation, Code optimization
8. Operating Systems (with Case Study of Unix)
Main functions of operating systems, Multiprogramming, multiprocessing, and multitasking
Memory Management: Virtual memory, paging, fragmentation
Concurrent Processing: Mutual exclusion. Critical regions, lock and unlock
Scheduling: CPU scheduling, I/O scheduling, Resource scheduling, Deadlock and scheduling algorithms. Banker's algorithm for deadlock handling.
The Unix System: File system, process management, bourne shell, shell variables, command line programming.
Filters and Commands: pr, head, tail, cut, paste, sort, uniq, tr, join, etc., grep, egrep, fgrep, etc., sed, awk, etc.
System Calls (like): creat, open, close, read, write, iseek, link, unlink, stat, fstat, umask, chmod, exec, fork, wait, system.
9. Software Engineering
System Development Life Cycle (SDLC): 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 and reliability. Clean room approach, software reengineering.
10. Current Trends and Technologies
The topics of current interest in Computer Science and Computer Applications shall be covered. The experts 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, currently, they include:
Parallel Computing: Parallel virtual machine (pvm) and message passing interface (mpi) libraries and calls. Advanced architectures. 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 applications. Mobile databases - protocols, scope, tools and technology. M-business.
E-Technologies: Electronic Commerce: Framework, Media Convergence of Applications, Consumer Applications, Organisation Applications.
Electronic Payment Systems: Digital Token, Smart Cards, Credit Cards, Risks in Electronic Payment System, Designing Electronic Payment Systems.
Electronic Data Interchange (EDI): Concepts, Applications, (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: Concepts, Types of Digital documents, Issues behind document Infrastructure, Corporate Data Warehouses.
Software Agents: Characteristics and Properties of Agents, Technology behind Software Agents (Applets, Browsers and Software Agents).
Broadband Telecommunications: Concepts, Frame Relay, Cell Relay, Switched Multimegabit Data Service, Asynchronous Transfer Mode. Main concepts in Geographical Information Systems (GIS), E-cash, E-Business, ERP packages.
Data Warehousing: Data Warehouse environment, architecture of a data warehouse methodology, analysis, design, construction and administration.
Data Mining: Extracting models and patterns from large databases, data mining techniques, classification, regression, clustering, summarization, dependency modelling, 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 in windows.
Simple Applications (in windows): Scrolling, splitting views, docking toolbars, status bars, common dialogs.
Advanced Windows Programming: Multiple Document Interface (MDI), Multithreading. Object linking and Embedding (OLE). Active X controls. Active Template Library (ATL). Network programming.
1. Discrete Structures
Sets, relations, Functions, Pigeonhole Principle, inclusion-Exclusion Principle, Equivalence and Partial Orderings, Elementary Counting Techniques, Probability, Measure(s) for Information and Mutual information.
Computability: Models of computation-Finite Automata, Pushdown Automata, Non-determinism and NFA, DPDA and PDAs and Languages accepted by these structures. Grammars, Languages, Non computability and examples of non-computable problems.
Graph: Definition, walks, paths, trails, connected graphs, regular and bipartite graphs, cycles and circuits, Tree and rooted tree, Spanning trees, Eccentricity of a vertex, radius and diameter of a graph, Central Graphs, Center(s) of a tree, Hamiltonian and Eulerian graphs, planar graphs
Groups: Finite fields and Error correcting / detecting codes.
2. Computer Arithmetic
Propositional (Boolean) Logic, Predicate Logic, Well-formed-formulae (WFF), Satisfiability and Tautology
Logic Families: TTL, ECL and C-MOS gates. Boolean algebra and Minimization of Boolean functions, Flip-flops-types, race condition and comparison. Design of combinational and sequential circuits
Representation of integers: 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: Elements of C-Tokens, identifiers, data types in C. Control structures in C. Sequence, selection and iteration(s). Structured data types in C-arrays, struct, union, string, and pointers.
O-O Programming Concepts: Class, Object, instantiation, Inheritance, polymorphism and overloading.
C++ Programming: Elements of C++ - Tokens, identifiers. Variables and constants, Data types, Operators, Control statements. Functions, parameter passing, Class and objects. Constructors and destructors. Overloading, Inheritance, templates, Exception handling.
4. Relational Database Design and SQL
E-R Diagrams and their transformation to relational design, normalization - 1NF, 2NF, 3NF, BCNF and 4NF. Limitations of 4NF 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 Structures
Data, Information, Definition of data structure. Arrays, stacks, queues, linked lists, trees, graphs, priority queues and heaps.
File Structures: Fields, records and files. Sequential, direct, index-sequential and relative files. Hashing, inverted lists and multi-lists. B trees and B+ trees
6. Computer Networks
Network Fundaments: Local area Networks (LAN), Metropolitan Area Networks (MAN), Wide Area Networks (WAN), Wireless Networks, Inter Networks.
Reference Models: The OSI model, TCP/IP model
Data Communication: Channel capacity. Transmission media - twisted pair, coaxial cables, fibre-optic cables, wireless transmission - radio, microwave, infrared and millimetre waves. Light wave transmission. Telephones - local loop, trunks, multiplexing, switching, narrowband ISDN, broadband ISDN, ATM, High speed LANS, Cellular radio, Communication satellites - geosynchronous and low-orbit.
Internetworking: Switch/Hub, Bridge, router, Gateways, Concatenated virtual circuits, Tunnelling, Fragmentation, Firewalls.
Routing: Virtual circuits and datagrams, Routing algorithms, Congestion control
Network Security: Cryptography - public key, secret key. Domain Name System (DNS) - Electronic mail and World Wide Web (WWW). The DNS, Resource Records, Name Servers. E-mail architecture and Servers
7. System Software and Compilers
Assembly language fundamentals (8085 based assembly language programming). Assemblers- 2-pass and single-pass. Macros and macroprocessors
Loading, linking, relocation, program relocatability. Linkage editing
Text editors. Programming Environments. Debuggers and program generators
Compilation and Interpretation. Bootstrap compilers. Phases of compilation process. Lexical analysis. Lex package on Unix system.
Context free grammars. Parsing and parse trees. Representation of parse (derivation) trees as rightmost and leftmost derivations. Bottom up parsers- shift reduce, operator precedence, and LR. YACC package on Unix system.
Top-down parsers- left recursion and its removal. Recursive descent parser. Predictive parser, Intermediate codes- Quadruples, Triples, Intermediate code generation, Code generation, Code optimization
8. Operating Systems (with Case Study of Unix)
Main functions of operating systems, Multiprogramming, multiprocessing, and multitasking
Memory Management: Virtual memory, paging, fragmentation
Concurrent Processing: Mutual exclusion. Critical regions, lock and unlock
Scheduling: CPU scheduling, I/O scheduling, Resource scheduling, Deadlock and scheduling algorithms. Banker's algorithm for deadlock handling.
The Unix System: File system, process management, bourne shell, shell variables, command line programming.
Filters and Commands: pr, head, tail, cut, paste, sort, uniq, tr, join, etc., grep, egrep, fgrep, etc., sed, awk, etc.
System Calls (like): creat, open, close, read, write, iseek, link, unlink, stat, fstat, umask, chmod, exec, fork, wait, system.
9. Software Engineering
System Development Life Cycle (SDLC): 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 and reliability. Clean room approach, software reengineering.
10. Current Trends and Technologies
The topics of current interest in Computer Science and Computer Applications shall be covered. The experts 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, currently, they include:
Parallel Computing: Parallel virtual machine (pvm) and message passing interface (mpi) libraries and calls. Advanced architectures. 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 applications. Mobile databases - protocols, scope, tools and technology. M-business.
E-Technologies: Electronic Commerce: Framework, Media Convergence of Applications, Consumer Applications, Organisation Applications.
Electronic Payment Systems: Digital Token, Smart Cards, Credit Cards, Risks in Electronic Payment System, Designing Electronic Payment Systems.
Electronic Data Interchange (EDI): Concepts, Applications, (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: Concepts, Types of Digital documents, Issues behind document Infrastructure, Corporate Data Warehouses.
Software Agents: Characteristics and Properties of Agents, Technology behind Software Agents (Applets, Browsers and Software Agents).
Broadband Telecommunications: Concepts, Frame Relay, Cell Relay, Switched Multimegabit Data Service, Asynchronous Transfer Mode. Main concepts in Geographical Information Systems (GIS), E-cash, E-Business, ERP packages.
Data Warehousing: Data Warehouse environment, architecture of a data warehouse methodology, analysis, design, construction and administration.
Data Mining: Extracting models and patterns from large databases, data mining techniques, classification, regression, clustering, summarization, dependency modelling, 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 in windows.
Simple Applications (in windows): Scrolling, splitting views, docking toolbars, status bars, common dialogs.
Advanced Windows Programming: Multiple Document Interface (MDI), Multithreading. Object linking and Embedding (OLE). Active X controls. Active Template Library (ATL). Network programming.