Graduate Aptitude Test in Engineering — Mathematics
IIT Roorkee (2027) · Online (CBT) · Annual (February)
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GATE MA Syllabus
Complete chapter-wise syllabus covering all subjects. Updated as per official exam pattern.
SI Units, Dimensional Analysis, Significant Figures, Errors in Measurement
KinematicsMotion in 1D, Motion in 2D, Projectile Motion, Relative Motion
Laws of MotionNewton's Laws, Friction, Circular Motion, Dynamics of Particles
Work, Energy and PowerWork-Energy Theorem, Conservation of Energy, Power, Collisions
Rotational MotionMoment of Inertia, Torque, Angular Momentum, Rolling Motion
GravitationNewton's Law of Gravitation, Gravitational Potential, Orbital Motion, Kepler's Laws
Mechanical Properties of FluidsPressure, Archimedes Principle, Bernoulli's Equation, Viscosity
ThermodynamicsLaws of Thermodynamics, Heat Engines, Carnot Cycle, PV Diagrams
WavesWave Motion, Standing Waves, Doppler Effect, Beats
ElectrostaticsCoulomb's Law, Electric Field, Gauss's Law, Capacitors
Current ElectricityOhm's Law, Kirchhoff's Laws, Wheatstone Bridge, Potentiometer
Magnetism and MatterBiot-Savart Law, Ampere's Law, Lorentz Force, Magnetic Materials
Electromagnetic InductionFaraday's Law, Lenz's Law, Self Inductance, AC Circuits
OpticsReflection and Refraction, Lenses, Young's Double Slit, Diffraction
Modern PhysicsPhotoelectric Effect, Bohr Model, Radioactivity, Nuclear Reactions
Semiconductorsp-n Junction, Diodes, Transistors, Logic Gates
Mole Calculations, Empirical Formula, Limiting Reagent, Concentration Terms
Atomic StructureBohr's Model, Quantum Numbers, Electronic Configuration, Photoelectric Effect
Chemical BondingVSEPR Theory, Hybridization, Molecular Orbital Theory, Resonance
States of MatterIdeal Gas Law, Kinetic Theory, Real Gases, Liquid State
Chemical ThermodynamicsEnthalpy, Entropy, Gibbs Free Energy, Hess's Law
EquilibriumChemical Equilibrium, Ionic Equilibrium, pH and Buffers, Solubility Product
ElectrochemistryElectrochemical Cells, Nernst Equation, Electrolysis, Conductance
Chemical KineticsRate Laws, Order of Reaction, Arrhenius Equation, Half-Life
SolutionsRaoult's Law, Colligative Properties, Osmosis, van't Hoff Factor
p-Block ElementsGroup 13-18 Elements, Oxoacids, Allotropes, Halides
d and f-Block ElementsTransition Metals, Magnetic Properties, Colour of Compounds, Lanthanoids
Coordination CompoundsIUPAC Nomenclature, Crystal Field Theory, Isomerism, Werner's Theory
General Organic ChemistryIUPAC Naming, Reaction Intermediates, Inductive Effect, Resonance
HydrocarbonsAlkanes, Alkenes, Alkynes, Aromatic Compounds
Haloalkanes and HaloarenesSN1 and SN2, Elimination Reactions, Nucleophilic Substitution
Alcohols, Phenols and EthersPreparation, Chemical Reactions, Lucas Test, Kolbe's Reaction
Aldehydes, KetonesNucleophilic Addition, Aldol Condensation, Cannizzaro Reaction
AminesBasicity Order, Diazonium Salts, Carbylamine Test, Azo Coupling
BiomoleculesCarbohydrates, Proteins, Nucleic Acids, Vitamins
Set Operations, Types of Relations, Types of Functions, Composition
Complex NumbersAlgebra of Complex Numbers, Modulus and Argument, de Moivre's Theorem, Cube Roots
Sequences and SeriesArithmetic Progression, Geometric Progression, Special Series, AM-GM-HM
Binomial TheoremBinomial Expansion, General Term, Middle Term, Coefficient Problems
Permutations and CombinationsFundamental Counting, Permutations, Combinations, Circular Arrangements
ProbabilityClassical Probability, Conditional Probability, Bayes' Theorem, Binomial Distribution
Matrices and DeterminantsMatrix Operations, Determinants, Inverse Matrix, System of Equations
TrigonometryTrigonometric Identities, Inverse Trigonometry, Trigonometric Equations, Heights
Coordinate GeometryStraight Lines, Circle, Parabola, Ellipse, Hyperbola
Limits and ContinuityLimits, L'Hopital's Rule, Continuity, Differentiability
DifferentiationDerivatives, Chain Rule, Application of Derivatives, Maxima-Minima
IntegrationIndefinite Integration, Definite Integration, Area Under Curves, Differential Equations
Vectors and 3D GeometryVector Operations, Dot and Cross Product, Lines in 3D, Planes in 3D
StatisticsMean, Median, Mode, Standard Deviation, Variance, Correlation
Table of Contents
About Graduate Aptitude Test in Engineering — Mathematics (GATE MA) 2027
The Graduate Aptitude Test in Engineering — Mathematics (GATE MA) is one of the most competitive entrance exams, conducted by the IIT Roorkee (2027). Preparing for the GATE MA requires systematic practice, conceptual clarity, and regular self-evaluation. Our platform offers dynamic mock tests, previous years' resolved papers, and AI-enabled analysis to help you secure a top rank.
Frequently Asked Questions
What careers does GATE MA open up?
GATE MA opens up MTech in Mathematics/Applied Mathematics at IITs, CSIR JRF research fellowship, NBHM fellowship, and scientist positions at DRDO (Operations Research), ISRO, and various research labs.
What is the most important topic in GATE MA?
Linear Algebra and Real Analysis together typically contribute 20-25 marks in GATE MA. Calculus, Complex Analysis, and Differential Equations are also high-weightage. These five subjects should receive 70% of your preparation time.
How competitive is GATE MA 2027?
GATE MA has around 15,000-18,000 applicants per year. The qualifying cutoff is around 25-35 out of 100. Competition for IIT admission is high — top 50-100 ranks needed for IIT programmes.
Can I use GATE MA for data science jobs?
GATE MA itself is not directly used for data science industry jobs. However, MTech programmes in IITs (Computational Mathematics, Operations Research) are excellent springboards into data science and quantitative finance.
What is the difference between GATE MA and JAM MA?
JAM MA is for BSc/BTech graduates seeking MSc in Mathematics at IITs. GATE MA is for MSc graduates seeking MTech or research positions. Both require strong pure mathematics foundations.
How to Prepare for GATE MA
Real Analysis (Sequences, Series, Continuity, Differentiability) is conceptual and proof-based — start early in preparation
Linear Algebra (Eigenvalues, Vector Spaces, Diagonalization) is the most calculation-friendly topic — secure full marks here
Complex Analysis (Cauchy Theorem, Residues, Conformal Mapping) is advanced — use Arfken or Churchill textbooks
Probability and Statistics contribute 10-12 marks and are more calculation-based — easier to secure than pure theory topics