# [Pdf] Download Gate Syllabus for Computer Science – 2021

## Table of Contents

- Gate Syllabus for Computer Science
- Section 1: Engineering Mathematics
- Discrete Mathematics
- Combinatorics
- Linear Algebra
- Calculus
- Probability
- Computer Science and Information Technology
- Section 2: Digital Logic
- Section 3: Computer Organization and Architecture
- Section 4: Programming and Data Structures
- Section 5: Algorithms
- Section 6: Theory of Computation
- Section 7: Compiler Design
- Section 8: Operating System
- Section 9: Databases
- Section 10: Computer Networks

# Gate Syllabus for Computer Science

## Section 1: 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, 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 pipe lining. 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 contex-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

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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