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GATE CS Syllabus
GENERAL APTITUDE
Verbal Ability : English Grammar, Sentence Completion, Verbal Analogies, World Groups Instructions, Critical Reasoning, and Verbal Deduction, etc.
Numerical Ability : Numerical Computation, Numerical Estimation, Numerical Reasoning and Data Interpretation, etc.
Computer Science and Information Syllabus
Discrete Mathematics : Propositional and first-order logic. Sets, relations, functions, partial orders and lattices. Groups.
Graphs : connectivity, matching, coloring. Combinatorics: counting, recurrence relations, generating functions.
Linear Algebra : Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition.
Calculus : Limits, continuity, and differentiability. Maxima and minima. Mean value theorem. Integration.
Probability : Random variables. Uniform, normal, exponential, Poisson and Binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.
DIGITAL LOGIC : Boolean algebra, Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point).
COMPUTER ORGANIZATION AND ARCHITECTURE : Machine instructions and addressing modes. ALU, data‐path and control unit. Instruction pipelining. Memory hierarchy: cache, main memory, and secondary storage; I/O interface (interrupt and DMA mode).
PROGRAMMING AND DATA STRUCTURES : Programming in C, Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs.
ALGORITHMS : Searching, sorting, hashing. Asymptotic worst-case time and space complexity. Algorithm design techniques: greedy, dynamic programming and divide‐and‐conquer Graph search, minimum spanning trees, shortest paths.
THEORY OF COMPUTATION : Regular expressions and finite automata. Context-free grammars and push-down automata. Regular and context-free languages, pumping lemma. Turing machines and undecidability.
COMPILER DESIGN : Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate code generation.
OPERATING SYSTEM : Processes, threads, inter‐process communication, concurrency, and synchronization. Deadlock. CPU scheduling. Memory management and virtual memory. File systems.
DATABASESER : model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints, normal forms. File organization, indexing (e.g., B and B+ trees). Transactions and concurrency control.
COMPUTER NETWORKS : Concept of layering. LAN technologies (Ethernet). Flow and error control techniques, switching. IPv4/IPv6, routers and routing algorithms (distance vector, link state). TCP/UDP and sockets, congestion control. Application layer protocols (DNS, SMTP, POP, FTP, HTTP). Basics of Wi-Fi. Network security: authentication, basics of public key and private key cryptography, digital signatures and certificates, firewalls.
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