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GATE Engineering Sciences Syllabus 2027: IIT Madras has released the GATE 2027 Engineering Sciences (XE) syllabus on the official website. Candidates can check the detailed GATE XE syllabus 2027 to understand the topics prescribed for the examination. The syllabus comprises General Aptitude (GA), Engineering Mathematics, and a range of optional sections from which candidates can choose based on their specialization. The recently introduced Energy Science (XE-I) section continues to be part of the GATE 2027 syllabus. Aspirants are advised to refer to the latest syllabus and exam pattern while preparing for the GATE examination. The GATE 2027 examinations will be conducted on February 6, 7, 13, 14, 20, and 21, 2027, and the complete subject-wise syllabus is available on the official GATE website.
Direct link for the GATE 2027 Engineering Science Syllabus
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IIT Madras will conduct the GATE exam for admission to MTech programmes at several prestigious universities. Students must also follow the GATE exam pattern along with the syllabus.
IIT Madras has released the GATE XE syllabus on the official website, gate2027.iitg.ac.in. Engineering Sciences or XE paper consists of two compulsory sections- General Aptitude (GA) and Engineering Mathematics, along with two optional sections. Candidates can check the table below for the detailed syllabus of GATE Engineering Sciences 2025.
Engineering Mathematics is compulsory and common for all Engineering Science (XE) sections. The GATE Engineering Mathematics syllabus consists of topics such as Linear Algebra, Calculus, Vector Calculus, Complex variables, Ordinary Differential Equations, Partial Differential Equations, Probability and Statistics, and Numerical Methods. Aspirants can check the detailed GATE XE syllabus for Engineering Mathematics here.
| Topics | Sub-Topics |
|---|---|
| GATE Engineering Mathematics Syllabus for Linear Algebra |
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| GATE Engineering Mathematics Syllabus for Calculus |
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| GATE Engineering Mathematics Syllabus for Vector Calculus |
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| GATE Engineering Mathematics Syllabus for Complex Variables |
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| GATE Engineering Mathematics Syllabus for Ordinary Differential Equations |
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| GATE Engineering Mathematics Syllabus for Partial Differential Equations |
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| GATE Engineering Mathematics Syllabus for Probability and Statistics |
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| GATE Engineering Mathematics Syllabus for Numerical Methods |
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Section | Topics |
Classification of Flows | Concept of a fluid, Viscous versus inviscid flows, Concept of viscosity, Newtonian versus non-Newtonian fluid, Incompressible versus compressible flows, Internal versus external flows, Steady versus unsteady flows, Laminar versus turbulent flows. |
Hydrostatics | Buoyancy, Manometry, Forces on submerged bodies and their stability. |
| Kinematics of Fluid Motion | Eulerian and Lagrangian descriptions of fluid motion, Concept of local, Convective and material derivatives, Streamline, Streakline, and Pathline. |
| Integral Analysis for a Control Volume | Reynolds Transport Theorem (RTT) for conservation of mass and linear momentum. |
| Differential Analysis | Differential equations of mass and momentum for incompressible flows, Euler equation, Bernoulli equation and its application for venturi meter, Pitot-static tube, and Orifice meter. Navier-Stokes equation and its exact solutions for Couette flow and Poiseuille flow. Concept of fluid rotation, Vorticity, Stream function, and Circulation. |
| Dimensional Analysis | Concept of similarity, Buckingham Pi theorem and its applications. Dimensionless groups and their physical significance - Reynolds number, Froude number, and Mach number. |
| Internal Flows | Fully developed pipe flow - Friction factor, Darcy-Weisbach relation and Moody’s chart, Major and minor losses. Concept of flow development. |
| Potential Flows | Velocity potential function, Uniform flow, Source, Sink, and Vortex. |
| External Flows | Concept of Prandtl boundary layer, Boundary layer thickness, Displacement thickness and momentum thickness. Qualitative idea of boundary layer separation, Streamlined and bluff bodies, Drag and lift forces. |
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Section | Topics |
| Classification and Structure of Materials | |
| Classification of Materials | Metals, ceramics, polymers and composites. |
| Fundamentals of crystallography | Definitions of crystal, lattice and motif: Crystal=Lattice+Motif. Distinction between atoms and lattice points; Symmetry operations: Translations (required symmetry of crystals/lattices); Symmetry based definitions of 7 crystal systems; Unit cells: primitive and non-primitive cells; Fourteen Bravais lattices and their classification into crystal systems; Miller and Miller-Bravais indices of crystallographic planes and directions. |
| Close-packed crystal structures of elements | Cubic close-packed (CCP), Hexagonal close-packed (HCP) and body-centred cubic (BCC) structures; Stacking sequence of planes; Tetrahedral and octahedral voids. |
| Crystalline and other ordered structures of carbon | Diamond and Graphite in terms of lattice and motif; Graphene and fullerene; Carbon nanotubes. |
| Crystalline structure of compounds | NaCl, CsCl, ZnS (Zinc blend and Wurtzite), Perovskite, Spinels; Pauling’s rule for structure of ionic compounds. |
| Structure of amorphous materials | Crystalline and glassy silica; Fused silica and soda-lime glass |
| Solid solutions | Interstitial and substitutional; Hume-Rothery rules. |
| Structure of polymers | Monomers and polymers. Addition and condensation polymers. Bonding in polymers. CC chain. Degree of polymerization. Chain configuration vs. chain conformations. Atactic, isotactic and syndiotactic configurations. Crystalline, semi-crystalline and amorphous polymers. Copolymers: alternating, block and random. Examples of common polymers: Polyethylene (PE), Polypropylene (PP), Polyvinylchloride (PVC), Polyetraflouroethylene (PTFE), Polystyrene (PS). Crosslinking. Natural and vulcanised rubber |
| Defects in Crystalline Materials: | |
| Zero-dimensional or point defects | Vacancies, interstitials, substitutional atoms, Frenkel and Schottky defects; Equilibrium concentration of point defects. |
| One-dimensional or line defects | Dislocations: edge, screw and mixed. Burgers vector and Burgers circuit; Burgers vectors of stable dislocations in simple cubic, body-centred cubic and face-centred cubic lattices; Dislocations meeting at a node; Line energy of a dislocation. Dislocation motion: glide and climb. |
| Two-dimensional or surface defects | Free surfaces, Grain boundaries, twin boundaries, stacking faults, phase boundary; Surface energy of a free surface in terms of a simple bond breaking model. |
| Thermodynamics, Kinetics and Phase Transformations | |
| Extensive and intensive thermodynamic properties, laws of thermodynamics, phase equilibria, phase rule, phase diagrams - unary pressure-temperature diagrams, binary temperature-composition diagrams, construction of temperature composition diagrams from free energies, common tangent construction in free energy-composition diagrams, invariant reactions. Reaction kinetics, rate constants, order of reactions, Arrhenius law, Fick’s laws, Steady state and non-steady state solutions of diffusion equations, diffusion distance and diffusion time, applications of solutions of diffusion equations, atomistic mechanisms of diffusion, fast diffusion paths. Solidification of pure metals and alloys, homogeneous and heterogeneous nucleation, nucleation rate, growth, partitioning during binary solidification; diffusional solid-state phase transformations (precipitation and eutectoid), overall transformation kinetics (TTT and CCT), martensitic/displacive transformation; glass transition. | |
| Properties and Applications of Materials | |
| Mechanical properties | elastic and plastic deformation; atomic bonding and elasticity; shear strength of
perfect crystals; plastic deformation by slip and dislocation motion; Strengthening mechanisms: strain
hardening, solid solution hardening, precipitation hardening, grain size refinement; Grifith theory of fracture;
fatigue: cyclic loading, S-N curve, crack initiation and propagation; Creep in crystalline materials: stages and
mechanisms of creep; Composites: particle and fibre reinforced composites; elastic modulus (rule of
mixtures). |
| Electronic Properties | Drude model and classical description of electrical conductivity, Drawbacks of
classical theory, Quantum mechanical description including concept of Fermi energy, Fermi surface and
density of states. Band Theory to explain insulators, conductors, and semiconductors via allowed and
forbidden energy bands, Effective mass concept, Intrinsic and extrinsic semiconductors, temperature
dependence of conductivity, Carrier concentration and mobility, drift vs. diffusion current, Hall Effect for a
simple metal or semiconductor. Dielectric behavior, piezo- and ferro-electric behavior. |
Magnetic Properties | Origin of magnetism in materials, types of Magnetism: Diamagnetism, Paramagnetism,
Ferromagnetism, Ferrimagnetism and Antiferromagnetism, Magnetic Domains & Hysteresis, Hard and soft
magnetic materials. |
Thermal Properties | Specific heat, Classical Dulong–Petit Law, Wiedemann-Franz Law, Thermal
conductivity of metals and insulators (role of electrons and phonons), Einstein and Debye model, heat
conduction, thermal diffusivity, thermal expansion, and thermoelectricity. |
| Optical Properties | Refractive index, absorption and transmission of electromagnetic radiation |
| Characterization and Measurements of Properties | |
| X-ray diffraction: Bragg’s Law, structure factor, indexing of cubic diffraction patterns; spectroscopic techniques: UV-Vis, IR and Raman; band-gap measurement; Microscopy (optical, scanning and transmission electron microscopy): wavelength range, resolution, depth of field; Composition analysis using energy dispersive spectroscopy. Tensile test: engineering and true stress-strain curves, parameters, such as, yield stress, ultimate tensile stress, elongation, area under the curve; Hardness: Brinell, Rockwell and Vickers. Electrical conductivity, carrier mobility and concentrations. Thermal analysis techniques: thermogravimetry and calorimetry | |
| Processing of Materials | |
| Heat Treatment of steels | TTT and CCT diagram: coarse and fine pearlite, martensite and bainite; Annealing,
normalizing, quenching, tempering. |
| Heat treatment of aluminium alloys | Precipitation hardening: Solutionising, quenching and ageing. Hardness
vs. aging time and its dependence on aging temperature. |
| Silicon processing | production of metallurgical and semiconductor grade, zone refining, single crystal
growth, silicon oxidation, doping, photolithographic process |
| Degradation of Materials | |
| Electrochemical basis of corrosion of metals: standard electrode potential, galvanic series, Nernst equation,
polarization and passivation; forms of corrosion; corrosion prevention Polymer degradation: swelling and dissolution; bond rupture: radiation, chemical and thermal effects; weathering | |
Section | Topics |
Mechanics of Rigid Bodies | Equivalent forces and moments; equilibrium equations; analysis of determinate trusses and frames; sliding and sticking friction; the principle of minimum potential energy and its relation to stable equilibrium; particle kinematics and dynamics; dynamics of inter-connected and/or constrained rigid bodies under planar motion; systems that conserve energy and/or momentum. |
Mechanics of Deformable Bodies | Definition of stress and strain; Transformation of stresses and strains; Principal Stresses; Mohr’s circle for plane stress and plane strain; Elastic Constants; Generalized Hooke’s Law; Thermal Stresses; Theories of Failure - von Mises, Tresca and maximum principal stress theories. Axial force, shear force, and bending moment diagrams; axial, shear, and bending stresses; combined stresses; deflection (for symmetric bending); systems with up to one degree of static indeterminacy (i.e., up to one support or internal force not determinable from static equilibrium alone); energy methods (Castigliano’s theorems); torsion of circular shaft; Euler Buckling; thin-walled pressure vessels. |
| Vibrations | Free and forced vibration of single-degree-of-freedom systems; effect of damping; base excitation. |
Section | Topics |
Basic Concepts | Continuum, microscopic and macroscopic approaches; Thermodynamic systems (closed and open); Thermodynamic properties, state and equilibrium; State postulate for simple compressible substances, paths and processes on property diagrams; Concepts of heat and work, different modes of work; Zeroth law of thermodynamics, concept of temperature. |
Properties of Pure Substances | Thermodynamic properties of pure substances in solid, liquid and vapor phases; P-v-T behaviour of simple compressible substances, Concept of triple point and critical point; Ideal and real gases, ideal gas equation of state and van der Waals equation of state. |
First Law of Thermodynamics | Concept of energy and various forms of energy; Internal energy, enthalpy; Specific heats; First law applied to
elementary processes, closed systems and control volumes, steady flow energy equation applied to simple
engineering devices. |
Second Law of Thermodynamics | Limitations of the first law of thermodynamics, concepts of heat engines and heat pumps/refrigerators, thermal
efficiency, coefficient of performance; Kelvin-Planck and Clausius statements and their equivalence; Reversible
and irreversible processes; Carnot cycle and Carnot principles/theorems; Thermodynamic temperature scale. |
| Entropy | Clausius inequality and concept of entropy, causes of irreversibility; Entropy generation, the principle of increase
of entropy, T-s diagrams; Isentropic process and isentropic efficiency; Second law analysis of system and control
volume; Second law efficiency; Concept of third law of thermodynamics. |
| Thermodynamic Relations | T-ds relations, Helmholtz and Gibbs functions, Gibbs relations, Maxwell relations, Joule-Thomson coefficient and
inversion curve; Coefficient of volume expansion, adiabatic and isothermal compressibilities; Clapeyron and
Clapeyron-Clausius equations. |
| Thermodynamic Cycles | Carnot vapor cycle, ideal Rankine cycle; Simple vapor-compression refrigeration cycle; Air-standard cycles - Otto,
Diesel, and Brayton cycles. |
| Mixtures of Ideal Gases | Dalton’s and Amagat’s laws, properties of ideal gas mixtures, air-water vapor mixtures and simple thermodynamic processes; Specific and relative humidities; Dew point, dry bulb and wet bulb temperatures, adiabatic saturation temperature, Simple psychrometric processes. |
Section | Topics |
Polymer Chemistry | Monomers; Degree of polymerization; Classification of polymers; Polymerization reactions: addition and condensation, their kinetics; Metallocene polymers and other newer methods of polymerization; Copolymerization; Monomer reactivity ratios and its significance; Kinetics; Different copolymers; Random, alternating, azeotropic copolymerization; Block and graft copolymers; Techniques for polymerization-bulk, solution, suspension, emulsion. |
Polymer Characterization | Solubility and swelling; Concept of molecular weight distribution and its significance; Concept of average molecular weight; Determination of number average, weight average, viscosity average and Z-average molecular weights; Glass transition; Melting transition; Amorphous and crystalline states of polymers; Orientation in polymers and polymer crystallinity; Factors affecting crystallinity; Analysis of polymers using IR, XRD, thermal (DSC, DMTA, TGA); Microscopic (optical and electronic) techniques; GPC; Mooney viscosity; Morphology and microstructure (SEM,TEM, AFM). |
Synthesis, Manufacturing and Properties | Commodity and general-purpose thermoplastics: PE, PP, PS, PVC; Polyesters; Acrylic; PU polymers; Engineering
Plastics: Nylon, PC, PBT, Polyphenylene oxide, ABS, Fluoropolymers; Thermosetting polymers: Polyurethane,
PF, MF, UF, Epoxy, Unsaturated polyester, Alkyds; Natural and synthetic rubbers: recovery of NR hydrocarbon
from latex; SBR; Nitrile; CR; CSM; EPDM; IIR; BR; Silicone; TPE; Specialty plastics: PEK, PEEK,
Polyphenylene sulfide, Polysulfone, Polyethersulfone, etc.; Bio-compostable polymers such as PCL, PLA, PBAT,
PHA/PHB, natural and biodegradable polymers such as cellulose, starch, alginate. |
Polymer Blends and Composites | Polymer blends and composites, their significance; Choice of polymers for blending, blend miscibility: miscible
and immiscible blends; Thermodynamics; Phase morphology; Polymer alloys; Polymer eutectics; Plastic-plastic,
rubber-plastic and rubber-rubber blends; FRP, particulate, long and short fibre reinforced composites; Polymer
reinforcement, reinforcing fibres – natural and synthetic. |
| Additives, Compounding and Formulations | Polymer compounding-need and significance; Different compounding ingredients for rubber and plastics
(crosslinkers, antioxidants, heat stabilizers, UV stabilizers, lubricants, processing aids, impact modifiers, flame
retardant, antistatic agents. PVC stabilizers and plasticizers) and their function; Use of carbon black; Polymer
mixing equipment; Vulcanization and kinetics. |
| Polymer Rheology | Spin coating; Electrospinning; Solution and melt spinning; Film casting; Compression molding; Transfer molding;
Injection molding; Blow molding; Reaction injection molding; Filament winding; SMC; BMC; DMC; Extrusion; pultrusion; Calendaring; Rotational molding; Thermoforming; Powder coating; Rubber processing in two-roll mill,
internal mixer, twin screw extruder. |
| Polymer Processing | Carnot vapor cycle, ideal Rankine cycle; Simple vapor-compression refrigeration cycle; Air-standard cycles - Otto, Diesel, and Brayton cycles. |
Polymer Testing | Mechanical-static and dynamic, tensile, flexural, compressive, abrasion, endurance, fatigue, hardness, tear, resilience, impact, toughness; Conductivity-thermal and electrical, dielectric constant, dissipation factor, power factor, electric resistance, surface resistivity, volume resistivity, swelling, ageing resistance, environmental stress cracking resistance, limiting oxygen index; Heat deflection temperature – Vicat softening temperature, ductile to brittle transition, glass transition temperature, coefficient of thermal expansion, shrinkage, flammability, dielectric constant, dissipation factor, power factor; Optical Properties - Refractive Index, Luminous Transmittance and Haze, Melt flow index. |
| Polymer Recycling, Waste Management and Sustainability | Polymer waste and its impact on environment; Sources, identification and separation techniques; Recycling
classification: mechanical and chemical recycling, recycling of thermoplastics, thermosets and rubbers,
applications of recycled materials; Life cycle assessment of polymer products (case studies like PET bottles,
packaging bags); Recycling, segregation and disposal strategies of biodegradable and bio-compostable polymers,
microplastics. |
Check the exam pattern for GATE Engineering Sciences paper from the table below. It is crucial to understand the exam pattern of GATE 2027 XE along with the syllabus.
| Particulars | Details |
|---|---|
Examination Mode | Computer Based Test (Online) |
Duration | 3 Hours |
Section | General Aptitude (GA) Candidate Selected Subject |
Type of Questions | Multiple Choice Questions (MCQs) Multiple Select Questions (MSQs) Numerical Answer Type (NAT) Questions |
Total Marks | 100 Marks |
Marking Scheme | All of the questions will be worth 1 or 2 marks |
GATE Negative Marking |
|
Related links:
Candidates must check the marking scheme when preparing for the GATE exam. It defines the allocation of marks for various question types. The following table shows the marking schemes for the 3 sections as per last year GATE XE Exam Pattern.
Subject | Marks Allotted |
|---|---|
General Aptitude (GA) | 15 |
Engineering Mathematics (XE A) | 15 |
2 choice Subject Questions (B-H) | 70 |
Total | 100 |
Frequently Asked Questions (FAQs)
Yes. the GATE 2027 syllabus was released online.
Aspirants must start preparing at least a year before the GATE 2027 exam.
The GATE XE 2027 syllabus consists of nine subjects, General Aptitude, Engineering Mathematics (two compulsory), Fluid Mechanics, Materials Science, Solid Mechanics, Thermodynamics, Polymer Science and Engineering, Food Technology, Atmospheric and Oceanic Sciences.
IIT Madras will conduct the GATE 2027 exam.
Candidates can take GATE Engineering sciences paper for admission to related MTech degrees or apply for the GATE based PSU recuitment.
On Question asked by student community
Hello, you can check the GATE Mechanical IIT cutoff (marks/score-wise) through this link: GATE Cutoff Marks for IITs and NITs 2026
Hello, the GATE marks required for admission to an NIT in Biotechnology vary depending on the NIT, category, CCMT counselling round, and seat availability. You can check the previous years' GATE cut-offs here: https://engineering.careers360.com/articles/gate-cutoff
Hello,
There is no fixed GATE score that guarantees admission to JEC Jabalpur. The required score varies every year depending on the branch, number of applicants, category, and cutoff trends. As an OBC candidate, you may receive category benefits if applicable. It is advisable to aim for a high GATE
Hello Dear Student,
Starting your GATE preparation in the first year is the ultimate advantage. You should focus on building a rock-solid foundation by mastering core first-year subjects (like Engineering Mathematics and basic Sciences), aligning your daily studies with your college curriculum, and consistently practicing General Aptitude to secure a
Hey there,
The official GATE 2027 syllabus has not been released yet. However, the Heat Transfer syllabus is expected to remain similar to previous years. It generally includes:
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