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.
- Mathematical Logic:
-
GENERAL APTITUDE(GA):
- Verbal Ability:
- English grammar,
- sentence completion,
- verbal analogies,
- word groups,
- instructions, critical reasoning and verbal deduction.
- Verbal Ability:
-
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.
- Digital Logic:
Subscribe to:
Post Comments (Atom)
0 comments:
Post a Comment