GATE 2013 - Syllabus for Computer Science and Information Technology (CS)

Posted by Too Many Requests On Saturday 11 August 2012 0 comments

GATE 2013 - Syllabus for Computer Science and Information Technology (CS)

 
  • Engineering Mathematics
    • Mathematical Logic:
      • Propositional Logic;
      • First Order Logic.
    • Probability:
      • Conditional Probability;
      • Mean, Median, Mode and Standard Deviation;
      • Random Variables;
      • Distributions;
      • uniform,
      • normal,
      • exponential,
      • Poisson,
      • Binomial.
    • Set Theory & Algebra:
      • Sets;
      • Relations;
      • Functions;
      • Groups;
      • Partial Orders;
      • Lattice;
      • Boolean Algebra.
    • Combinatorics:
      • Permutations;
      • Combinations;
      • Counting;
      • Summation;
      • generating functions;
      • recurrence relations;
      • asymptotics.
    • Graph Theory:
      • Connectivity;
      • spanning trees;
      • Cut vertices & edges;
      • covering; matching;
      • independent sets;
      • Colouring;
      • Planarity;
      • Isomorphism.
    • Linear Algebra:
      • Algebra of matrices,
      • determinants,
      • systems of linear equations,
      • Eigen values and Eigen vectors.
    • Numerical Methods:
      • LU decomposition for systems of linear equations;
      • numerical solutions of non-linear algebraic equations by Secant,
      • Bisection and Newton-Raphson Methods;
      • Numerical integration by trapezoidal and Simpson's rules.
    • Calculus:
      • Limit,
      • Continuity & differentiability,
      • Mean value Theorems,
      • Theorems of integral calculus,
      • evaluation of definite & improper integrals,
      • Partial derivatives,
      • Total derivatives,
      • maxima & minima.
  • GENERAL APTITUDE(GA):
    • Verbal Ability:
      • English grammar,
      • sentence completion,
      • verbal analogies,
      • word groups,
      • instructions, critical reasoning and verbal deduction.
  • Computer Science and Information Technology
    • Digital Logic:
      • Logic functions,
      • Minimization,
      • Design and synthesis of combinational and sequential circuits; Number representation and computer arithmetic (fixed and floating point).
    • Computer Organization and Architecture:
      • Machine instructions and addressing modes,
      • ALU and data-path,
      • CPU control design,
      • Memory interface,
      • I/O interface (Interrupt and DMA mode),
      • Instruction pipelining,
      • Cache and main memory,
      • Secondary storage.
    • Programming and Data Structures:
      • Programming in C;
      • Functions,
      • Recursion,
      • Parameter passing,
      • Scope,
      • Binding;
      • Abstract data types, Arrays,
      • Stacks, Queues,
      • Linked Lists,
      • Trees,
      • Binary search trees,
      • Binary heaps.
    • Algorithms:
      • Analysis,Asymptotic notation,
      • Notions of space and time complexity,
      • Worst and average case analysis;
      • Design:
      • Greedy approach,
      • Dynamic programming, Divide-and-conquer;
      • Tree and graph traversals,
      • Connected components,
      • Spanning trees,
      • Shortest paths;
      • Hashing,
      • Sorting,
      • Searching.
      • Asymptotic analysis (best, worst, average cases) of time and space,
      • upper and lower bounds,
      • Basic concepts of complexity classes P, NP, NP-hard, NP-complete.
    • Theory of Computation:
      • Regular languages and finite automata,
      • Context free languages and Push-down automata,
      • Recursively enumerable sets and Turing machines,
      • Undecidability.
    • compilier Design
      • Lexical analysis,
      • Parsing,
      • Syntax directed translation,
      • Runtime environments,
      • Intermediate and target code generation,
      • Basics of code optimization.
    • Operating System:
      • Processes,
      • Threads,
      • Inter-process communication,
      • Concurrency,
      • Synchronization,
      • Deadlock,
      • CPU scheduling,
      • Memory management and virtual memory,
      • File systems,
      • I/O systems,
      • Protection and security.
    • Databases:
      • ER-model,
      • Relational model (relational algebra,
      • tuple calculus),
      • Database design (integrity constraints, normal forms),
      • Query languages (SQL),
      • File structures (sequential files, indexing, B and B+ trees),
      • Transactions and concurrency control.
    • Information Systems and Software Engineering:
      • information gathering,
      • requirement and feasibility analysis,
      • data flow diagrams,
      • process specifications,
      • input/output design,
      • process life cycle,
      • planning and managing the project,
      • design,
      • coding,
      • testing,
      • implementation,
      • maintenance.
    • 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.
    • Web technologies:
      • HTML,
      • XML,
      • basic concepts of client-server computing.

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