GATE Syllabus Tracker

Matrices – Properties/Rank/Eigenvalues/Eigenvectors

Linear Algebra

System of Linear Equations – Consistency/Inverse

Linear Algebra

Cayley-Hamilton Theorem

Linear Algebra

Diagonalization

Linear Algebra

Limits & Continuity

Calculus

Differentiation – Partial/Total

Calculus

Integration – Double/Triple/Applications

Calculus

Vector Calculus – Gradient/Divergence/Curl/Stokes/Gauss

Calculus

Set Theory & Logic – Propositional/First Order

Discrete Mathematics

Relations & Functions

Discrete Mathematics

Graph Theory – Trees/Planar/Coloring

Discrete Mathematics

Boolean Algebra & Combinational Circuits

Discrete Mathematics

Group Theory – Semi-group/Monoid/Group

Discrete Mathematics

Random Variables – Discrete/Continuous

Probability & Statistics

Probability Distributions – Binomial/Poisson/Normal

Probability & Statistics

Sampling & Estimation

Probability & Statistics

Hypothesis Testing – Z/t/Chi-square

Probability & Statistics

Correlation & Regression

Probability & Statistics

Root Finding – Newton-Raphson/Bisection/Secant

Numerical Methods

Interpolation – Lagrange/Newton

Numerical Methods

Numerical Integration – Trapezoidal/Simpson

Numerical Methods

DE – Euler/Runge-Kutta

Numerical Methods

Arrays/Linked Lists/Stacks/Queues

Data Structures & Algorithms

Trees – BST/AVL/Red-Black/Heap

Data Structures & Algorithms

Graphs – BFS/DFS/MST/Shortest Path

Data Structures & Algorithms

Sorting – Quick/Merge/Heap/Radix

Data Structures & Algorithms

Searching – Linear/Binary/Hashing

Data Structures & Algorithms

Dynamic Programming – Knapsack/LCS/Fibonacci

Data Structures & Algorithms

Greedy Algorithms

Data Structures & Algorithms

Divide & Conquer

Data Structures & Algorithms

Complexity – P/NP/NP-Complete

Data Structures & Algorithms

Processes – States/Scheduling/Threads

Operating Systems

Synchronization – Semaphores/Mutex/Monitors

Operating Systems

Deadlock – Prevention/Avoidance/Detection

Operating Systems

Memory – Paging/Segmentation/Virtual Memory

Operating Systems

File Systems – FAT/NTFS/Inodes

Operating Systems

IO & Disk Scheduling

Operating Systems

ER Model & Relational Model

Databases & DBMS

SQL – DDL/DML/Constraints/Joins

Databases & DBMS

Normalization – 1NF/2NF/3NF/BCNF

Databases & DBMS

Indexing – B/B+ Trees/Hashing

Databases & DBMS

Transactions – ACID/Serializability/Recovery

Databases & DBMS

OSI & TCP/IP Model

Computer Networks

Application Layer – HTTP/DNS/SMTP/FTP

Computer Networks

Transport Layer – TCP/UDP/Congestion

Computer Networks

Network Layer – IP/Subnet/Routing Protocols

Computer Networks

Data Link Layer – MAC/Ethernet/CSMA/Switching

Computer Networks

Finite Automata – DFA/NFA/Regular Expressions

Theory of Computation

Context-Free Grammars & PDA

Theory of Computation

Turing Machines – Variants

Theory of Computation

Undecidability – Halting Problem

Theory of Computation

Complexity Classes – P/NP

Theory of Computation

DLD – Boolean Functions/Gates/KMaps/Flip-flops/Counters

Compiler Design & Digital Logic

Phases of Compiler – Lexical/Syntax/Semantic

Compiler Design & Digital Logic

Parsing – Top-Down/Bottom-Up

Compiler Design & Digital Logic

Intermediate Code Generation & Optimization

Compiler Design & Digital Logic

SDLC – Waterfall/Agile/Spiral

Software Engineering

Requirements & UML Diagrams

Software Engineering

Testing – Unit/Integration/System/Acceptance

Software Engineering

Metrics & Quality

Software Engineering

Grammar – Error Detection/Correction

Verbal Ability

Vocabulary – Synonyms/Antonyms/Idioms

Verbal Ability

Comprehension – Passages

Verbal Ability

Logic – Statement/Assumption/Conclusion

Verbal Ability

Arithmetic – Percentage/TSD/Work/Profit-Loss

Quantitative Aptitude

Algebra & Geometry

Quantitative Aptitude

Mensuration

Quantitative Aptitude

Probability & Statistics

Quantitative Aptitude

Data Interpretation – Tables/Charts/Graphs

Quantitative Aptitude