Difference between revisions of "Test"

(→‎Graph Theory)
(→‎Mathematical Logic, Set Theory & Algebra)
 
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==Algorithms  & Data Structures ==
 
==Algorithms  & Data Structures ==
−
 
+
<div>
 
<b> Algorithms:</b>  
 
<b> Algorithms:</b>  
 
<ul>
 
<ul>
Line 9: Line 9:
 
<li> Tree and graph traversals, Connected components, Spanning trees, Shortest paths; </li>
 
<li> Tree and graph traversals, Connected components, Spanning trees, Shortest paths; </li>
 
<li>Hashing, Sorting, Searching. </li>
 
<li>Hashing, Sorting, Searching. </li>
−
<li>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. </li> </ul>
+
<li>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. </li> </ul></div>
 +
<div>
 
<b> Data Structures: </b> <br>
 
<b> Data Structures: </b> <br>
 
<ul>
 
<ul>
Line 15: Line 16:
 
<li> Linked Lists </li>
 
<li> Linked Lists </li>
 
<li>Trees, Binary search trees, Binary heaps. </li>
 
<li>Trees, Binary search trees, Binary heaps. </li>
−
</ul>
+
</ul></div>
 
{| class="wikitable"
 
{| class="wikitable"
 
! style="color: #f7f7f7; background-color: #3b5998;"|
 
! style="color: #f7f7f7; background-color: #3b5998;"|
−
Book
+
Course Videos
 
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
Line 38: Line 39:
 
| Course and slides
 
| Course and slides
 
|}
 
|}
 +
 +
 +
  
 
==Databases==
 
==Databases==
Line 51: Line 55:
 
{| class="wikitable"
 
{| class="wikitable"
 
! style="color: #f7f7f7; background-color: #3b5998;"|
 
! style="color: #f7f7f7; background-color: #3b5998;"|
−
Book
+
Course Videos
 
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
Line 63: Line 67:
 
|Course and slides for DBMS
 
|Course and slides for DBMS
 
|}
 
|}
 +
 +
 +
  
 
==Compiler Design==
 
==Compiler Design==
Line 72: Line 79:
 
</ul></div>
 
</ul></div>
 
{| class="wikitable"
 
{| class="wikitable"
−
! Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 84: Line 92:
 
| Comprehensive
 
| Comprehensive
 
|}
 
|}
 +
 +
 +
  
 
==Operating Systems==
 
==Operating Systems==
Line 96: Line 107:
 
</ul></div>
 
</ul></div>
 
{| class="wikitable"
 
{| class="wikitable"
−
! Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 121: Line 133:
 
</ul></div>
 
</ul></div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 128: Line 141:
 
Shai Simonson, Aduni.org
 
Shai Simonson, Aduni.org
 
| If you have not seen these videos, don’t do anything go and see the videos immediately, no excuses.
 
| If you have not seen these videos, don’t do anything go and see the videos immediately, no excuses.
−
|-
 
−
|[http://www.flipkart.com/introduction-theory-computation-2nd-english/p/itmdfcamz8zfkzzz?pid=9788131517505&otracker=from-search&srno=t_1&query=sipser&ref=bb122966-0efa-4f6c-b7b8-9c4b7607cfb3 ''Introduction to Theory of Computation'']
 
−
Sipser
 
−
| Sipser is a quick and comprehensive guide. It is recommended to be read after you have grip on the subject.
 
−
|-
 
−
| [http://www.flipkart.com/introduction-computer-theory-english-2nd/p/itmeyfnuqk6ehnuf?pid=9788126513345&otracker=from-search&srno=t_1&query=cohen+theory&ref=b41541af-5746-464e-8d22-b9dc365801f9 ''Introduction To Computer Theory'']
 
−
Cohen
 
−
| Cohen can be read if very good detailed analysis is required. SPOON FEEDING !
 
−
|-
 
−
| [http://www.flipkart.com/introduction-automata-theory-languages-computation-english-3rd/p/itmdwuafje6xhdft?pid=9788131764619&ref=0eea7fe0-1ae2-4a95-a28b-e9ff58db68a5&srno=t_1&otracker=from-search&query=hopcroft ''Introduction to Automata Theory, Languages, and Computation'' ]
 
−
Hopcroft
 
−
| In most colleges you will find this book as a  Main book , but believe me  within Cohen or Linz, if you read any one of them , Enough!
 
 
|}
 
|}
  
Line 156: Line 157:
 
</div>
 
</div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 172: Line 174:
 
| Full Course
 
| Full Course
 
|}
 
|}
 +
 +
 +
  
 
==Computer Networks==
 
==Computer Networks==
Line 183: Line 188:
 
</ul></div>
 
</ul></div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 195: Line 201:
 
|  
 
|  
 
|}
 
|}
 +
 +
 +
  
 
==Programming==
 
==Programming==
Line 204: Line 213:
 
</ul> </div>
 
</ul> </div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 229: Line 239:
 
</div>
 
</div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
 
| [https://www.youtube.com/watch?v=CeD2L6KbtVM ''Introduction to Digital Circuits'']
 
| [https://www.youtube.com/watch?v=CeD2L6KbtVM ''Introduction to Digital Circuits'']
−
Prof.S.Srinivasan, IIT Madras, NPTEL
+
Prof. S. Srinivasan, IIT Madras, NPTEL
 
|  
 
|  
 
|}
 
|}
 +
 +
 +
  
 
==Information Systems and Software Engineering==
 
==Information Systems and Software Engineering==
Line 247: Line 261:
 
</ul> </div>
 
</ul> </div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
−
|[http://www.flipkart.com/software-engineering-english-6th/p/itmdx925vgduvhzs?pid=9780070701137&otracker=from-search&srno=t_1&query=software+engineering+by+pressman&ref=7a20efc8-6a93-494b-9de1-93e250b26fab ''Software Engineering'']
+
|[http://nptel.ac.in/courses/106101061/ ''Introduction to Software Engineering Challenges'']
−
Pressman
+
IIT Bombay, NPTEL
−
| Just see the GATE topics from this bible.
+
|  
 
|}
 
|}
  
Line 267: Line 282:
 
</div>
 
</div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 279: Line 295:
  
 
== Engineering Mathematics==
 
== Engineering Mathematics==
−
===Mathematical Logic===
+
 
−
<div>
 
−
<ul>
 
−
<li>Propositional Logic </li>
 
−
<li> First Order Logic </li>
 
−
</ul> </div>
 
−
{|class="wikitable"
 
−
!Book
 
−
! style="width: 70%;"|
 
−
Description
 
−
|-
 
−
|[http://www.flipkart.com/mathematical-introduction-logic-english-2nd/p/itmdytr58ffzmpz8?q=MATHEMATICAL+INTRODUCTION+TO+LOGIC+%28English%29+2nd+Edition&as=on&as-show=on&otracker=start&as-pos=p_1&pid=9788131201916 ''Mathematical Introduction to Logic'']
 
−
Enderton
 
−
| Buy only if needed. The GATE topic is only till first order logic and these questions can be solved just by practising previous year papers. But '''NEVER''' ignore this topic.
 
−
|}
 
  
 
===Combinatory & Probability===
 
===Combinatory & Probability===
Line 312: Line 314:
 
</ul></div>
 
</ul></div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 326: Line 329:
  
  
−
===Set Theory & Algebra===  
+
===Mathematical Logic, Set Theory & Algebra===  
 +
 
 +
 
 +
'''Mathematical Logic'''
 
<div>
 
<div>
 +
<ul>
 +
<li>Propositional Logic </li>
 +
<li> First Order Logic </li>
 +
</ul> </div>
 +
<div>
 +
 +
 +
'''Set Theory & Algebra'''
 
<ul>
 
<ul>
 
<li> Sets, Relations, Functions </li>
 
<li> Sets, Relations, Functions </li>
Line 335: Line 349:
 
</ul></div>
 
</ul></div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 353: Line 368:
 
</ul></div>
 
</ul></div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
Line 361: Line 377:
 
|Advanced course, just take what you need from GATE syllabus
 
|Advanced course, just take what you need from GATE syllabus
 
|}
 
|}
 +
  
 
===Linear Algebra===
 
===Linear Algebra===
Line 369: Line 386:
 
</ul></div>
 
</ul></div>
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
−
|[http://www.flipkart.com/higher-engineering-mathematics-english-43rd/p/itmczyhpmhhtqnsa?pid=9788174091956&ref=04f4284d-0b23-4ee9-8ec8-575200059f10&srno=t_1&otracker=from-search&query=bs+grewal+engineering+mathematics ''Higher Engineering Mathematics'']
+
|[http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/ ''Linear Algebra'']
−
Grewal
+
Gilbert Strang, OCW.MIT
−
| Grewal's book is sufficient for Linear Algebra in GATE (it is needed for other mathematical subjects)
+
| Straight from the master
 
|-
 
|-
−
|[http://www.flipkart.com/linear-algebra-its-applications-english-4th/p/itmey7qhzmragaty?pid=9788131501726&otracker=from-search&srno=t_1&query=gilbert+strang&ref=35d0c899-dc36-4bb1-ae4d-92cf055fbf5e ''Linear Algebra and its Applications'']
+
|}
−
Gilbert Strang
 
−
| This is the best book for Linear algebra
 
  
−
|}
 
  
 
===Numerical Methods & Calculus===
 
===Numerical Methods & Calculus===
Line 402: Line 417:
  
 
{|class="wikitable"
 
{|class="wikitable"
−
!Book
+
! style="color: #f7f7f7; background-color: #3b5998;"|
−
! style="width: 70%;"|
+
Course Videos
 +
! style="width: 70%;color:#f7f7f7; background-color: #3b5998;"|
 
Description
 
Description
 
|-
 
|-
−
|[http://www.flipkart.com/higher-engineering-mathematics-english-43rd/p/itmczyhpmhhtqnsa?pid=9788174091956&ref=04f4284d-0b23-4ee9-8ec8-575200059f10&srno=t_1&otracker=from-search&query=bs+grewal+engineering+mathematics ''Higher Engineering Mathematics'']
+
|[http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/ ''Single Variable Calculus'']
−
Grewal
+
David Jerison, OCW.MIT
−
| Enough for GATE
+
| Very good videos  
−
|-
 
−
|[http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/ ''Calculus'']
 
−
Gilbert Strang
 
−
|If you have time, go through the book and videos in this link.
 
 
|}
 
|}
 +
  
 
==General Aptitude==
 
==General Aptitude==
Line 423: Line 436:
 
<li> Numerical reasoning and data interpretation </li>
 
<li> Numerical reasoning and data interpretation </li>
 
</ul></div>
 
</ul></div>
−
{|class="wikitable"
+
−
!Book
 
−
! style="width: 70%;"|
 
−
Description
 
−
|-
 
−
|[http://www.flipkart.com/quantitative-aptitude-competitive-examinations-english-17th/p/itmdytga2sgpggmg?pid=9788121924986&ref=fa36fcb4-078c-4280-b9c8-d849701e4a98&srno=t_1&otracker=from-search&query=agrewal+aptitude ''Quantitative Aptitude For Competitive Examinations'']
 
−
Aggarwal
 
−
| Those having good aptitude skills can do without this book. But do refresh the problems in progression, cost-selling price etc. Questions in aptitude are easy but scoring in this topic is very important to the final GATE score.
 
−
|}
 
  
 
===Verbal Ability===
 
===Verbal Ability===
Line 440: Line 445:
 
<li> Instructions, critical reasoning and verbal deduction </li>
 
<li> Instructions, critical reasoning and verbal deduction </li>
 
</ul></div>
 
</ul></div>
−
{|class="wikitable"
 
−
!Book
 
−
! style="width: 70%;"|
 
−
Description
 
−
|-
 
−
|[http://www.flipkart.com/modern-approach-verbal-reasoning-english-2nd/p/itmdytg92gkwmzdg?pid=9788121905527&otracker=from-search&srno=t_1&query=verbal+reasoning+books&ref=29294827-5bc4-42b0-bd5e-2baeb1313ed8 ''A Modern Approach to Verbal Reasoning'']
 
−
Aggarwal
 
−
|If your English is good enough no need to buy this book. But I recommend giving a little importance to this topic.
 
−
|}
 

Latest revision as of 10:44, 10 October 2014

Algorithms & Data Structures

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.

Data Structures:

  • Abstract data types, Arrays, Stacks, Queues
  • Linked Lists
  • Trees, Binary search trees, Binary heaps.

Course Videos

Description

Algorithms

Shai Simonson, Aduni.org

Aduni.org: before you do any other thing, the first thing to do is watch these videos, you won’t believe how awesome Shai is.
Introduction to Algorithms

Leiserson, OCW.MIT

One of the lecturers is C. Leiserson, The “L” in CLRS..
Introduction to Data Structures & Algorithms

NPTEL

Coursera Course

Kevin Wayne, Robert Sedgewick, Princeton University

Course and slides



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

Course Videos

Description

DBMS NPTEL PPC - IIT KGP

NPTEL

IIT KGP PPC DBMS lecture is good one
CS145 Introduction to Databases

Stanford

Course and slides for DBMS



Compiler Design

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

Course Videos

Description

CS143 Compilers

Stanford

Best notes and assignment for Compiler Course, no video
Compilers Stanford

Alex Aiken, Coursera

Comprehensive



Operating Systems

  • Processes, Threads, Inter-process communication
  • Concurrency, Synchronization
  • Deadlock
  • CPU scheduling
  • Memory management and virtual memory
  • File systems, I/O systems, Protection and security.

Course Videos

Description

Operating Systems

P.K.Biswas

Enough for GATE
Computer Science 162 - Lecture 1

UCBerkeley



Theory of Computation

  • Regular languages and finite automata
  • Context free languages and Push-down automata
  • Recursively enumerable sets and Turing machines
  • Undecidability.

Course Videos

Description

Theory of Computation

Shai Simonson, Aduni.org

If you have not seen these videos, don’t do anything go and see the videos immediately, no excuses.



CO & 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.

Course Videos

Description

Computer Architecture

Prof. Anshul Kumar, IIT Delhi, NPTEL

Computer Organization

Prof. S. Raman, IIT Madras, NPTEL

Computer Architecture

David Wentzlaff, Princeton University, Coursera

Full Course



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

Course Videos

Description

Computer Networks

NPTEL

Introduction to Computer Networks

Jain, WUSTL



Programming

  • Programming in C
  • Functions, Recursion
  • Parameter passing, Scope, Binding

Course Videos

Description

Programming Paradigms

Jerry Cain, Stanford

Doesn't cover the entire GATE syllabus in programming but useful
Computer Science 61B - Fall 2006

UCBerkeley

For Data structures



Digital Logic

  • Logic functions, Minimization
  • Design and synthesis of combinational and sequential circuits
  • Number representation and computer arithmetic (fixed and floating point)

Course Videos

Description

Introduction to Digital Circuits

Prof. S. Srinivasan, IIT Madras, NPTEL



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.

Course Videos

Description

Introduction to Software Engineering Challenges

IIT Bombay, NPTEL



Web technologies

  • HTML, XML
  • Basic concepts of client-server computing

Course Videos

Description

Web Technologies Basics

Telerik Academy

This presentation is enough for GATE.


Engineering Mathematics

Combinatory & Probability

Combinatory

  • Permutations, Combinations
  • Counting, Summation
  • Generating functions, recurrence relations, asymptotics

Probability

  • Conditional Probability
  • Mean, Median, Mode and Standard Deviation
  • Random Variables
  • Distributions; uniform, normal, exponential, Poisson, Binomial.

Course Videos

Description

Sets, Counting, and Probability

Harvard

Covers the basics
Applied Probability

MIT

Advanced course and topics are mostly above GATE syllabus.


Mathematical Logic, Set Theory & Algebra

Mathematical Logic

  • Propositional Logic
  • First Order Logic


Set Theory & Algebra

  • Sets, Relations, Functions
  • Groups
  • Partial Orders, Lattice
  • Boolean Algebra

Course Videos

Description

Discrete Mathematical Structures

Prof. Kamala Krithivasan, IIT Madras, NPTEL

Covers Mathematical logic, Set Theory and Algebra syllabus from GATE completely

Graph Theory

  • Connectivity, spanning trees
  • Cut vertices & edges
  • Covering, matching, independent sets
  • Colouring, Planarity, Isomorphism

Course Videos

Description

Graph Theory

NPTEL

Advanced course, just take what you need from GATE syllabus


Linear Algebra

  • Algebra of matrices, determinants
  • Systems of linear equations
  • Eigen values and Eigen vectors

Course Videos

Description

Linear Algebra

Gilbert Strang, OCW.MIT

Straight from the master


Numerical Methods & Calculus

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

Course Videos

Description

Single Variable Calculus

David Jerison, OCW.MIT

Very good videos


General Aptitude

Numerical Ability

  • Numerical computation
  • Numerical estimation
  • Numerical reasoning and data interpretation


Verbal Ability

  • English grammar, sentence completion
  • Verbal analogies, word groups
  • Instructions, critical reasoning and verbal deduction
Retrieved from "https://gatecse.in/w/index.php?title=Test&oldid=4437"

Algorithms & Data Structures[edit]

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.

Data Structures:

  • Abstract data types, Arrays, Stacks, Queues
  • Linked Lists
  • Trees, Binary search trees, Binary heaps.

Book

Description

Algorithms

Shai Simonson, Aduni.org

Aduni.org: before you do any other thing, the first thing to do is watch these videos, you won’t believe how awesome Shai is.
Introduction to Algorithms

Leiserson, OCW.MIT

One of the lecturers is C. Leiserson, The “L” in CLRS..
Introduction to Data Structures & Algorithms

NPTEL

Coursera Course

Kevin Wayne, Robert Sedgewick, Princeton University

Course and slides

Databases[edit]

  • 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

Book

Description

DBMS NPTEL PPC - IIT KGP

NPTEL

IIT KGP PPC DBMS lecture is good one
CS145 Introduction to Databases

Stanford

Course and slides for DBMS

Compiler Design[edit]

  • Lexical analysis, Parsing
  • Syntax directed translation, Runtime environments
  • Intermediate and target code generation, Basics of code optimization.
Book

Description

CS143 Compilers

Stanford

Best notes and assignment for Compiler Course, no video
Compilers Stanford

Alex Aiken, Coursera

Comprehensive

Operating Systems[edit]

  • Processes, Threads, Inter-process communication
  • Concurrency, Synchronization
  • Deadlock
  • CPU scheduling
  • Memory management and virtual memory
  • File systems, I/O systems, Protection and security.
Book

Description

Operating Systems

P.K.Biswas

Enough for GATE
Computer Science 162 - Lecture 1

UCBerkeley



Theory of Computation[edit]

  • Regular languages and finite automata
  • Context free languages and Push-down automata
  • Recursively enumerable sets and Turing machines
  • Undecidability.
Book

Description

Theory of Computation

Shai Simonson, Aduni.org

If you have not seen these videos, don’t do anything go and see the videos immediately, no excuses.
Introduction to Theory of Computation

Sipser

Sipser is a quick and comprehensive guide. It is recommended to be read after you have grip on the subject.
Introduction To Computer Theory

Cohen

Cohen can be read if very good detailed analysis is required. SPOON FEEDING !
Introduction to Automata Theory, Languages, and Computation

Hopcroft

In most colleges you will find this book as a Main book , but believe me within Cohen or Linz, if you read any one of them , Enough!



CO & Architecture[edit]

  • 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.
Book

Description

Computer Architecture

Prof. Anshul Kumar, IIT Delhi, NPTEL

Computer Organization

Prof. S. Raman, IIT Madras, NPTEL

Computer Architecture

David Wentzlaff, Princeton University, Coursera

Full Course

Computer Networks[edit]

  • 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
Book

Description

Computer Networks

NPTEL

Introduction to Computer Networks

Jain, WUSTL

Programming[edit]

  • Programming in C
  • Functions, Recursion
  • Parameter passing, Scope, Binding
Book

Description

Programming Paradigms

Jerry Cain, Stanford

Doesn't cover the entire GATE syllabus in programming but useful
Computer Science 61B - Fall 2006

UCBerkeley

For Data structures



Digital Logic[edit]

  • Logic functions, Minimization
  • Design and synthesis of combinational and sequential circuits
  • Number representation and computer arithmetic (fixed and floating point)
Book

Description

Introduction to Digital Circuits

Prof.S.Srinivasan, IIT Madras, NPTEL

Information Systems and Software Engineering[edit]

  • 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.
Book

Description

Software Engineering

Pressman

Just see the GATE topics from this bible.



Web technologies[edit]

  • HTML, XML
  • Basic concepts of client-server computing
Book

Description

Web Technologies Basics

Telerik Academy

This presentation is enough for GATE.


Engineering Mathematics[edit]

Mathematical Logic[edit]

  • Propositional Logic
  • First Order Logic
Book

Description

Mathematical Introduction to Logic

Enderton

Buy only if needed. The GATE topic is only till first order logic and these questions can be solved just by practising previous year papers. But NEVER ignore this topic.

Combinatory & Probability[edit]

Combinatory

  • Permutations, Combinations
  • Counting, Summation
  • Generating functions, recurrence relations, asymptotics

Probability

  • Conditional Probability
  • Mean, Median, Mode and Standard Deviation
  • Random Variables
  • Distributions; uniform, normal, exponential, Poisson, Binomial.
Book

Description

Sets, Counting, and Probability

Harvard

Covers the basics
Applied Probability

MIT

Advanced course and topics are mostly above GATE syllabus.


Set Theory & Algebra[edit]

  • Sets, Relations, Functions
  • Groups
  • Partial Orders, Lattice
  • Boolean Algebra
Book

Description

Discrete Mathematical Structures

Prof. Kamala Krithivasan, IIT Madras, NPTEL

Covers Mathematical logic, Set Theory and Algebra syllabus from GATE completely

Graph Theory[edit]

  • Connectivity, spanning trees
  • Cut vertices & edges
  • Covering, matching, independent sets
  • Colouring, Planarity, Isomorphism
Book

Description

Graph Theory

NPTEL

Advanced course, just take what you need from GATE syllabus

Linear Algebra[edit]

  • Algebra of matrices, determinants
  • Systems of linear equations
  • Eigen values and Eigen vectors
Book

Description

Higher Engineering Mathematics

Grewal

Grewal's book is sufficient for Linear Algebra in GATE (it is needed for other mathematical subjects)
Linear Algebra and its Applications

Gilbert Strang

This is the best book for Linear algebra

Numerical Methods & Calculus[edit]

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
Book

Description

Higher Engineering Mathematics

Grewal

Enough for GATE
Calculus

Gilbert Strang

If you have time, go through the book and videos in this link.

General Aptitude[edit]

Numerical Ability[edit]

  • Numerical computation
  • Numerical estimation
  • Numerical reasoning and data interpretation
Book

Description

Quantitative Aptitude For Competitive Examinations

Aggarwal

Those having good aptitude skills can do without this book. But do refresh the problems in progression, cost-selling price etc. Questions in aptitude are easy but scoring in this topic is very important to the final GATE score.

Verbal Ability[edit]

  • English grammar, sentence completion
  • Verbal analogies, word groups
  • Instructions, critical reasoning and verbal deduction
Book

Description

A Modern Approach to Verbal Reasoning

Aggarwal

If your English is good enough no need to buy this book. But I recommend giving a little importance to this topic.