GATE Syllabus for Computer Science & 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.


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: 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.

The best and most recommended reference books for CSE and IT GATE exam preparation.
GATE  Preparation Books and Study Materials for Mathematical Logic:

” Discrete Mathematics ” by Tremblay and Manohar .
GATE Exam Topics covered by this text book
Propositional Logic; First Order Logic, Set Theory and Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.

GATE  Preparation Books and Study Materials for Probability:

” Probability , statistics and queuing theory ” by S.C.Gupta and V.K.Kapoor
GATE Exam Topics covered by this text book
Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial.

GATE  Preparation Books and Study Materials for Combinatorics:

” Intermediate Mathematics ” , S.Chand publications , authors : B.V.Sastry and K.Venkateswarlu
” Higher Engineering Mathematics ” by B.S.Grewal for generating functions and recurrence relations .
( Bessel’s formula , Lagrangian Polynomial )
” Introduction to algorithms ” – Cormen etal ( CLRS ) for recurrence relations and asymptotics
GATE Exam Topics covered by these text books
Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics.

GATE  Preparation Books and Study Materials for Graph Theory:

” Intoduction to Graph Theory ” by Narsing Deo
 GATE Exam Topics covered by this text book
Connectivity; spanning trees; Cut vertices and edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism

GATE  Preparation Books and Study Materials for Linear Algebra:

” Higher Engineering Mathematics ” by B.S.Grewal
 GATE Exam Topics covered by this text book
Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors.

GATE  Preparation Books and Study Materials for Numerical Methods:

” Numerical Methods ” – by S.S.Sastry
 GATE Exam Topics covered by this text book
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.

GATE  Preparation Books and Study Materials for Calculus

” Intermediate Mathematics ” , S.chand publications , authors : B.V.Sastry , K.Venkateswarlu
 GATE Exam Topics covered by this text book
Limit, Continuity & differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite & improper integrals, Partial derivatives, Total derivatives, maxima & minima.

GATE  Preparation Books and Study Materials for Formal Languages and Automata Theory:

” Formal Languages and Automata theory ” , J.D.Ullman etal
 GATE Exam Topics covered by this text book
Regular languages and finite automata, Context free languages and Push-down automata, Recursively enumerable sets and Turing machines, Un-decidability;

GATE  Preparation Books and Study Materials for Analysis of Algorithms and Computational Complexity:

” Introduction to algorithms ” – Cormen etal ( CLRS )
” Computer Algorithms ” – Horowitz and Sahani
 GATE Exam Topics covered by this text book
Asymptotic analysis (best, worst, average case) of time and space, Upper and lower bounds on the complexity of specific problems, NP-completeness.

GATE  Preparation Books and Study Materials for Digital Logic:

” Digital Logic circuits and Design ” by Morris Mano
 GATE Exam Topics covered by this text book
Logic functions, Minimization, Design and synthesis of Combinational and Sequential circuits; Number representation and Computer Arithmetic (fixed and floating point);

GATE  Preparation Books and Study Materials for Computer Architecture:

” Computer Organisation ” by Morris Mano
” Computer Architecture ” by Briggs and 2 chinese authors ( blue cover pad ) { for pipelining }
 GATE Exam Topics covered by these text books
Machine instructions and addressing modes, ALU and Data-path, hardwired and micro-programmed control, Memory interface, I/O interface (Interrupt and DMA mode), Serial communication interface, Instruction pipelining, Cache, main and secondary storage.

GATE  Preparation Books and Study Materials for Data structures:

” Data structures ” Schaumm’s outline series
” Data structures in PASCAL ” by Horowitz and Sahani
” Data structures and Algorithms ” by Weiss etal
” Introduction to algorithms ” – Cormen etal ( CLRS )
 GATE Exam Topics covered by these text books
Notion of abstract data types, Stack, Queue, List, Set, String, Tree, Binary search tree, Heap, Graph;
Textbook :

GATE  Preparation Books and Study Materials for Programming Methodology:

” Programming with C ” – Byron Gottfried , Schaumm’s outline series
” Principles of Programming Languages ” by Robert W Sebesta , Addison Wesley
” Programming with C++ ” – Balaguruswamy
 GATE Exam Topics covered by these text books
C programming, Program control (iteration, recursion, Functions), Scope, Binding, Parameter passing, Elementary concepts of Object oriented, Functional and Logic Programming

GATE  Preparation Books and Study Materials for Algorithms for problem solving:

” Data structures ” Schaumm’s outline series
” Data structures in PASCAL ” by Horowitz and Sahani
” Computer Algorithms ” – Horowitz and Sahani
” Data structures and Algorithms ” by Weiss etal
” Introduction to algorithms ” – Cormen etal ( CLRS )
 GATE Exam Topics covered by these text books
Tree and graph traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching; Design techniques (Greedy, Dynamic Programming, Divide-and-conquer);

GATE  Preparation Books and Study Materials for Compiler Design:

” Principles of Compiler Design ” , Aho , Ullman etal .
” Systems Programming ” by John . J . Donovan
 GATE Exam Topics covered by these text books
 Lexical analysis, Parsing, Syntax directed translation, Runtime environment, Code generation, Linking (static and dynamic);

GATE  Preparation Books and Study Materials for Operating Systems:

” Operating system concepts ” by Abraham Silberschatz and Peter Galvin
” Advanced Unix Programming ” by W. Richard . Stevens
” Advanced Unix Programming ” by N.B.Venkateswarlu , BPB publications
 GATE Exam Topics covered by these text books
Classical concepts (concurrency, synchronization, deadlock), Processes, threads and Inter-process communication, CPU scheduling, Memory management, File systems, I/O systems, Protection and security.

GATE  Preparation Books and Study Materials for Databases:

” Database Management systems ” – Raghu RamaKrishnan
” Database system concepts ” – Silberschatz , Korth , Sudarshan
” Database systems ” – C.J.Date { normalisation is very lucidly written }
” Principles of Database Systems ” – J.D.Ullman { This is a very good book }
 GATE Exam Topics covered by these text books
 Relational model (ER-model, relational algebra, tuple calculus), Database design (integrity constraints, normal forms), Query languages (SQL), File structures (sequential files, indexing, B+ trees), Transactions and concurrency control;

GATE  Preparation Books and Study Materials for Computer Networks:

” Computer Networks ” – Tenenbaum
” Data communications and Networking ” – William Stallings
 GATE Exam Topics covered by these text books
ISO/OSI stack, sliding window protocol, LAN Technologies (Ethernet, Token ring), TCP/UDP, IP, Basic concepts of switches, gateways, and routers.

Some more important books and study materials for your GATE preparation:
” Multiple choice questions ” – Timothy . J . Williams , TMH publications
” Gate Question Papers ” – G.K.Publishers { follow it only for questions , answers are all wrong in it }
“Aptitude Test” -D R Choudhary
” Multiple choice questions ” – Timothy . J . Williams , TMH publications
” Gate Question Papers ” – G.K.Publishers