Computer Science and Information Technology (CS)

General Aptitude (GA): Common to All Papers Engineering

Verbal Ability

English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.

Numerical Ability

Numerical computation, numerical estimation, numerical reasoning and data interpretation.

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; 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.

Reference Books :

   Subject

   Reference Books

  Mathematics

Higher Engineering Mathematics – Dr. BS Grewal
Advance Engineering Mathematics –  Erwin Kreyszig
Advance Engineering Mathematics – Dr. HK Dass

    Programming and Algorithms

Data Structure & Algorithm in C - Mark Allen Weiss 
Data Structures Using C and C++  - Yedidyah Langsam, Moshe J. Augenstein, and Aaron M. Tenenbaum 
Programming Languages - Ravi Sethi
Introduction to Algorithms - Corman, Rivest
Fundamentals of computer Algorithms -  Ellis Horowitz and Sartaj Sahni 
C programming - Kernighan and Ritchie

  Operating Systems

Operating System Concept – Silbersehatz Galvin and Gagne.
Operating Systems – Stallings.
Operating Systems – Gary Nutt.
OPERATING SYSTEMS:A Concept-Based Approach - D M Dhamdhere

  Discrete Math and Graph Theory

Discrete and Combinatorial Mathematics – Ralph Grimaldi
Discrete Mathematical Structures with applications to Computer Science - Tremblay and Manohar.
Discrete Mathematics - Rosen
Discrete Mathematics for Computer Scientists – Mott
Elements of Discrete Mathematics  : C. L. Liu

  Computer Organization

Digital Electronics – Morris Mano
Digital circuits – Herbert Taub & Donald L Schilling
Microprocessor Architecture, Programming and Applications with the 8085 – Ramesh Gaonker
Computer Organisation – Hamacher
Computer Architecture A quantitative approach - PATTERSON and HENNESSY  
Computer Organization and Architecture : William Stallings

  Database

Database Systems - Korth
DBMS - Ramakrishnan and Gerke 
Fundamentals of Database Systems :  Shamkant B. Navathe Bipin, Desai

  Computer Networks

Computer Networks – Tanenbaum
TCP/IP Illustrated (volume 1)  : W. Richard Stevens

  Theory of Computations

Introduction to automata theory, languages and computation – Hopcroft, Motwani and Ullman
Theory of Computation – Dexter. C. Kozen. 
The Theory of Computation – Bernard M Moret

  Compiler Design

Principles of Compiler Design - Aho and Ullman and ravi sethi

  Software engineering and Web Technology

A Practitioner's Approach - Roger Pressman
Web Engineering - Roger Pressman and David Lowe
Fundamentals of Software Engineering - Rajib Mall
An Integrated Approach to Software Engineering - Pankaj Jalote

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