GATE Computer Science and Information Technology Syllabus 2015
GATE 2015 Computer Science and Information Technology Syllabus ( CS )
Engineering Mathematics Syllabus
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.
Combinatory : 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 and Information Technology Syllabus
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.
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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