GATE Computer Science and Information Technology Syllabus 2016
GATE 2016 Computer Science and Information Technology Syllabus ( CS )
Engineering Mathematics Syllabus
Discrete Mathematics: Propositional and first order logic. Sets, relations, functions, partial orders and lattices. Groups. Graphs: connectivity, matching, coloring. Combinatorics: counting, recurrence relations, generating functions.
Linear Algebra: Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition.
Calculus: Limits, continuity and differentiability. Maxima and minima. Mean value theorem. Integration.
Probability: Random variables. Uniform, normal, exponential, poisson and binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.
Computer Science and Information Technology Syllabus
Digital Logic : Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic ( fixed and floating point ).
Computer Organization and Architecture : Machine instructions and addressing modes. ALU, data ‐ path and control unit. Instruction pipelining. Memory hierarchy: cache, main memory and secondary storage; I/O interface ( interrupt and DMA mode ).
Programming and Data Structures : Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs.
Algorithms : Searching, sorting, hashing. Asymptotic worst case time and space complexity. Algorithm design techniques: greedy, dynamic programming and divide‐and‐conquer. Graph search, minimum spanning trees, shortest paths.
Theory of Computation : Regular expressions and finite automata. Context – free grammars and push – down automata. Regular and contex-free languages, pumping lemma. Turing machines and undecidability.
Compiler Design : Lexical analysis, parsing, syntax – directed translation. Runtime environments. Intermediate code generation.
Operating System : Processes, threads, inter ‐ process communication, concurrency and synchronization. Deadlock. CPU scheduling. Memory management and virtual memory. File systems.
Databases : ER ‐ model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints, normal forms. File organization, indexing ( e.g., B and B+ trees ). Transactions and concurrency control.
Computer Networks : ISO / OSI Stack, LAN Technologies ( Ethernet, Token ring ), Flow and Error control techniques, Routing Algorithms, Congestion control, TCP / UDP and Sockets, IP ( v4 ), Application Layer Protocols ( icmp, dns, smtp, pop, ftp, http ); Basic concepts of Hubs, Switches, Gateways, and Routers. Network security basic concepts of public key and private key Cryptography, Digital Signature, Firewalls.
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