GATE 2013 SYLLABUS
COMPUTER SCIENCE (CS) & INFORMATION TECHNOLOGY(IT)
ENGINEERING MATHEMATICS:
- Mathematical Logic:Propositional Logic;First Order Logic.
- Probability:Conditional Probability; Mean,Median, Mode & 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.
COMPUTER SCIENCE & INFORMATION TECHNOLOGY
- Digital Logic:Logic functions,Minimization,Design & synthesis of combinational & sequential circuits; Number representation and computer arithmetic (fixed and floating point).
- Computer Organization & Architecture:Machine instructions & 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 & 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 & finite automata,Context free languages & Push-down automata,Recursively enumerable sets and Turing machines,Undecidability.
- Compiler 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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