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  /Subject (CSE/IT Gate Syllabus Cheat Sheet)
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    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{CSE/IT Gate Syllabus Cheat Sheet}}}} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 11th September, 2014.\\
   Updated 13th May, 2016.\\
   Page {\thepage} of \pageref{LastPage}.
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\mymulticolumn{1}{x{17.67cm}}{{\bf{Engineering Mathematics}} \newline % Row Count 1 (+ 1)
{\bf{Mathematical Logic}}: Propositional Logic; First Order Logic. \newline % Row Count 3 (+ 2)
{\bf{Probability}}: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial. \newline % Row Count 7 (+ 4)
{\bf{Set Theory \& Algebra}}: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra. \newline % Row Count 10 (+ 3)
{\bf{Combinatorics}}: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics. \newline % Row Count 13 (+ 3)
{\bf{Graph Theory}}: Connectivity; spanning trees; Cut vertices \& edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism. \newline % Row Count 16 (+ 3)
{\bf{Linear Algebra}}: Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors. \newline % Row Count 19 (+ 3)
{\bf{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. \newline % Row Count 24 (+ 5)
{\bf{Calculus}}: Limit, Continuity \& differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite \& improper integrals, Partial derivatives, Total derivatives, maxima \& minima. \newline % Row Count 29 (+ 5)
{\bf{GENERAL APTITUDE(GA)}}: \newline % Row Count 30 (+ 1)
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\mymulticolumn{1}{x{17.67cm}}{Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction. \newline % Row Count 3 (+ 3)
{\bf{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). \newline % Row Count 8 (+ 5)
{\bf{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. \newline % Row Count 13 (+ 5)
{\bf{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. \newline % Row Count 18 (+ 5)
{\bf{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. \newline % Row Count 28 (+ 10)
{\bf{Theory of Computation}}: Regular languages and finite automata, Context free languages and Push-down automata, Recursively enumerable sets and Turing machines, Undecidability. \newline % Row Count 32 (+ 4)
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\mymulticolumn{1}{x{17.67cm}}{{\bf{Compiler Design}}: Lexical analysis, Parsing, Syntax directed translation, Runtime environments, Intermediate and target code generation, Basics of code optimization. \newline % Row Count 4 (+ 4)
{\bf{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. \newline % Row Count 9 (+ 5)
{\bf{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. \newline % Row Count 15 (+ 6)
{\bf{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. \newline % Row Count 21 (+ 6)
{\bf{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. \newline % Row Count 30 (+ 9)
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