Elements of probability, matrix algebra, numerical methods: interpolation, root finding, differentiation and integration. Discrete mathematics: sets, relations, functions, mathematical induction, counting, groups, graphs, partial orders, lattices and boolean algebra, propostional logic.
THEORY OF COMPUTATION:
Regular and context free languages, finite state machines and push down automata, turing machines and undecidability.
COMPUTER HARDWARE:
Logic function, minimization techniques, design of combinational and sequential circuits using gates and flip-flops, design with integrated circuts incuding ROM and multiplexers, microprocessor architecture: programming, interfacing with memory and I/O devices(modes of data transfer and their implementation, serial and parallel communication interface). Detailed knowledge of 8085 microprocessor will be assumed.
COMPUTER ORGANIZATION:
Number representation and arithmetic, functional organization, machine instructions and addressing modes, ALU, hardwired and micro programmed control, instruction pipelining, memory organization, input/output.
PROGRAMMING AND DATA STRUCTURE:
structured programmming with Pascal/C including recursion; arrays, stacks, strings, queues, lists, trees, sets and graphs; algorithm for tree and graphs traversals, connected component, spanning trees, shortest paths; hashing, sorting and searching algorithm design and analysis techniques, big 'oh' notation, solution of sample recurrence relations.
LANGUAGE PROCESSOR:
Assembler, loader, linker, macroprocessors, text editors, programming languages, scope rules and parameter passing mechanism; compilers lexical analysis, parsing, syntax, directed translation, run time environment, machine code generation; interpreters.
OPERATING SYSTEM:
Batch, multi-programming and time-sharing systems; processsor, memory, device and file management, virtual memory, process scheduling, interprocess communication, process synchronization and concurrency, deadlocks, protection.
DATABASE SYSTEM:
File organization techniques; indexing-trees, B-plus trees; relational and network data models; normal forms; query language: SQL.
