# GATE 2015 Computer Science and Information Technology Syllabus

Category: Engineering Exams, Syllabus 30 0

### GATE 2015 Computer Science and Information Technology Syllabus:

The following article is the GATE 2015 Computer Science and Information Technology Syllabus:

### (a)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.

Combinatory: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics.

Graph theory: Connectivity; spanning trees; Cut Vertices & Edges; covering; matching; independent sets; Colouring; Planatry; 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 and minima.

### (b)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.

Compiler Design: Lexical analysis, Parsing, Syntax directed translation, Runtime environments, Intermediate and target code generation, Basics of code optimization.

Operating System: Process, 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 protocol (icmp, dns, smtp, pop, ftp, http); Basic concepts of hubs, switches, gateways and routers. Network security-basics concepts of public key and private key cryptography, digital signature, firewalls.

Web technologies: HTML, XML, basics concepts of client server computing.