Free Brilliant material for GATE 2011

These free material are just too brilliant for gate preparation ,so that one can take
advantage for self preparing for GATE

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.
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.
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.
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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