GATE syllabus for Computer science

Computer Science and Information Technology

Section1: Engineering Mathematics
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, the 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.

Computer Science and Information Technology

Section 2: Digital Logic
Boolean algebra. Combinational and sequential circuits. Minimization. Number
representations and computer arithmetic (fixed and floating point).

Section 3: 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).

Section 4: Programming and Data Structures
Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search
trees, binary heaps, graphs.

Section 5: 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.

Section 6: 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.

Section 7: Compiler Design
Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate
code generation.

Section 8: Operating System
Processes, threads, inter‐process communication, concurrency, and synchronization.
Deadlock. CPU scheduling. Memory management and virtual memory. File systems.

Section 9: Databases
ER‐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.

Section 10: Computer Networks
The 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 the public key and private key
cryptography, digital signatures, and certificates, firewalls.