Last Updated -
March 22 2018

GATE syllabus is various for each branch. The question paper consists of 65 questions which are divided into three sections worth 100 marks and the period of the exam is three hours. The questions are most fundamental, concept based and thought-provoking.

**GATE 2018 **Engineering Sciences (XE)** **syllabus includes 3 sections namely- General Aptitude, Engineering Mathematics and Engineering Sciences. The weightage of General Aptitude and Engineering Mathematics is 30% and rest 70% is reserved for the chosen specialization i.e. XE in this case.

**GATE Syllabus**for Engineering Sciences mostly covers the graduation level topics.- Engineering sciences section includes the following subjects:

- Fluid mechanics
- Polymer Science
- Solid mechanics
- Material Science
- Thermodynamics
- Food technology
- Atmospheric Sciences.

- Each subject (chosen ones) will carry 35 marks.
- Applicants have to choose any 2 of the above-mentioned subjects.

GATE is a national level exam which is held for admission to M.Tech/ Ph.D. in the field of engineering and technology. It is organizeed on the rotational basis by zonal IITs and IISc Bangalore. The exam is scheduled to take place in the month of February i.e. 3,4,10 and 11 February 2018. GATE is an annual online test with multiple choice and numerical type questions.

To ace GATE 2018, one must have a complete about **GATE Exam Format** and GATE syllabus.

Engineering Mathematics is a discipline of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry. It is an interdisciplinary subject motivated by engineers' required both for practical, theoretical and other considerations out with their specialization, and to deal with constraints to be effective in their work.

Topics | Sub Topics |
---|---|

Linear Algebra | Algebra of matrices; Inverse and rank of a matrix; System of linear equations; Symmetric, skew-symmetric and orthogonal matrices; Determinants; Eigenvalues and eigenvectors; Diagonalisation of matrices; Cayley-Hamilton Theorem. |

Calculus | Functions of a single variable Functions of two variables Sequence and series |

Vector Calculus | Gradient, divergence and curl; Line and surface integrals; Green's theorem, Stokes theorem and Gauss divergence theorem (without proofs). |

Complex variables | Analytic functions; Cauchy-Riemann equations; Line integral, Cauchy's integral theorem and integral formula (without proof); Taylor's series and Laurent series; Residue theorem (without proof) and its applications. |

Ordinary Differential Equations | First order equations (linear and nonlinear); Higher order linear differential equations with constant coefficients; Second order linear differential equations with variable coefficients; Mode of variation of parameters; Cauchy-Euler equation; Power series solutions; Legendre polynomials, Bessel functions of the first kind and their properties. |

Partial Differential Equations | Classification of second order linear partial differential equations; Mode of separation of variables; Laplace equation; Solutions of one-dimensional heat and wave equations. |

Probability and Statistics | Axioms of probability; Conditional probability; Bayes' Theorem; Discrete and continuous random variables: Binomial, Poisson and normal distributions; Correlation and linear regression. |

Numerical Methods | Solution of systems of linear equations using LU decomposition, Gauss elimination and Gauss-Seidel methods; Lagrange and Newton's interpolations, Solution of polynomial and transcendental equations by Newton-Raphson method; Numerical integration by trapezoidal rule, Simpson's rule and Gaussian quadrature rule; Numerical solutions of first order differential equations by Euler's mode and 4th order Runge-Kutta method. |

Book Name | Author | ISBN Number |
---|---|---|

GATE Engineering Mathematics | Abhinav Goel, Suraj Singh | 935203550X, 978-9352035502 |

Higher Engineering Mathematics | B.S. Grewal | 8174091955, 978-8174091956 |

GATE 2017: Engineering Mathematics | ME Team | 9351471977, 978-9351471974 |

A Textbook of Engineering Mathematics | Dr. Sudheer K. Srivastava, Dr. Suyash N. Mishra Dr. Vijai S. Verma | 9383758465, 978-9383758463 |

Wiley Acing the Gate: Engineering Mathematics and General Aptitude | Anil K. Maini, Varsha Agrawal, Nakul Maini | 8126567430, 978-8126567430 |

**Read ****How to Prepare for GATE 2018**

Fluid Mechanics is a discipline of physics related to the mechanics of fluids and the forces on them. Fluid mechanics has a wide range of applications, including mechanical engineering, civil engineering, chemical engineering, biomedical engineering, geophysics, astrophysics, and biology.

Topics | Sub Topics |
---|---|

Flow and Fluid Properties | Viscosity, the relationship between stress and strain rate for Newtonian fluids, incompressible and compressible flows, differences between laminar and turbulent flows. Hydrostatics: Buoyancy, manometry, forces on submerged bodies. |

Kinematics | Eulerian and Lagrangian description of fluids motion, concept of local and convective accelerations, steady and unsteady flows. |

Integral analysis | Control volume analysis for mass, momentum and energy. |

Differential Analysis | Differential equations of mass and momentum for incompressible flows: inviscid - Euler equation and viscous flows - Navier-Stokes equations, the concept of fluid rotation, vorticity, stream function, Exact solutions of Navier-Stokes equation for Couette Flow and Poiseuille flow. |

Inviscid flows | Bernoulli’s equation - assumptions and applications, potential function, Elementary plane flows - uniform flow, source, sink and doublet and their superposition for potential flow past simple geometries. |

Dimensional analysis | Concept of geometric, kinematic and dynamic similarity, some common non-dimensional parameters and their physical significance: Reynolds number, Froude number and Mach number. |

Internal flows | Fully developed pipe flow, empirical relations for laminar and turbulent flows: friction factor and Darcy-Weisbach relation. |

Prandtl boundary layer equations | Concept and assumptions, the qualitative idea of boundary layer and separation, streamlined and bluff bodies, drag and lift forces. Flow measurements: Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate. |

Book Name | Author |
---|---|

Fluid Mechanics: Fundamentals and Applications | Yunus A. Cengel, John Cimbala |

A Textbook of Fluid Mechanics and Hydraulic Machines | R.K. Bansal |

A Textbook of Fluid Mechanics | R.K. Bansal |

Fundamentals of fluid mechanics | Bruce Roy Munson |

An Introduction to Fluid Dynamics | George Batchelor |

The interdisciplinary field of materials science, also commonly termed materials science and engineering, involves the discovery and design of new materials, with an emphasis on solids.

Topics | Sub Topics |
---|---|

Structure | Atomic structure and bonding in materials. Crystal structure of materials, crystal systems, unit cells and space lattices, determination of structures of simple crystals by x-ray diffraction, Miller indices of planes and directions, packing geometry in metallic, ionic and covalent solids. The concept of amorphous, single and polycrystalline structures and their effect on properties of materials.Crystal growth techniques.Imperfections in crystalline solids and their role in influencing different properties. |

Diffusion | Fick’s laws and application of diffusion in sintering, doping of semiorganizors and surface hardening of metals. |

Metals and Alloys | Solid solutions, solubility limit, phase rule, binary phase diagrams, intermediate phases, intermetallic compounds, iron-iron carbide phase diagram, heat treatment of steels, cold, hot working of metals, recovery, recrystallization and grain growth. Microstructure, properties and applications of ferrous and non-ferrous alloys. |

Ceramics | Structure, properties, procedures and applications of traditional and advanced ceramics. |

Polymers | Classification, polymerization, structure and properties, additives for polymer products, procedures and applications. |

Composites | Properties and applications of different composites. |

Advanced Materials and Tools | Smart materials, exhibiting ferroelectric, piezoelectric, optoelectric, self-organizing behaviour, lasers and optical fibres, photoorganizeivity and superorganizeivity, nanomaterials – synthesis, properties and applications, biomaterials, superalloys, shape memory alloys. Materials characterization techniques such as scanning electron microscopy, transmission electron microscopy, atomic force microscopy, scanning tunnelling microscopy, atomic absorption spectroscopy, differential scanning calorimetry. |

Mechanical Properties | stress-strain diagrams of metallic, ceramic and polymeric materials, modulus of elasticity, yield strength, tensile strength, toughness, elongation, plastic deformation, viscoelasticity, hardness, impact strength, creep, fatigue, ductile and brittle fracture. |

Thermal Properties | Heat capacity, thermal organizeivity, thermal expansion of materials. |

Electronic Properties | Concept of energy band diagram for materials – organizers, semiorganizeors and insulators, electrical organizeivity – the effect of temperature on organizability, intrinsic and extrinsic semiorganizeors, dielectric properties. |

Optical Properties | Reflection, refraction, absorption and transmission of electromagnetic radiation in solids. |

Magnetic Properties | Origin of magnetism in metallic and ceramic materials, paramagnetism, diamagnetism, antiferro magnetism, ferromagnetism, ferrimagnetism, magnetic hysterisis. |

Environmental Degradation | Corrosion and oxidation of materials, prevention. |

Book Name | Author | ISBN Number |
---|---|---|

Material Science and Engineering | William F. Smith, Javad Hashemi, Ravi Prakash | 1259062759, 978-1259062759 |

Materials Science and Engineering - SIE | William Smith, Javad Hashemi, Ravi Prakash | 0070667179, 978-0070667174 |

Materials Science and Engineering | I P Singh | 8183600956, 978-8183600958 |

Materials Science | Sedha R.S. | 8121901464, 978-8121901468 |

Basics of Material Science and Engineering | Made Easy Editorial Board | 9351472078, 978-9351472070 |

Solid mechanics is the discipline of continuum mechanics that studies the behaviour of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents.

Solid mechanics is fundamental for civil, aerospace, nuclear, biomedical and mechanical engineering, for geology, and for many disciplines of physics such as materials science.

Topics | Sub Topics |
---|---|

Solid Mechanics | Equivalent force systems; free-body diagrams; equilibrium equations; analysis of determinate trusses and frames; friction; simple relative motion of particles; force as function of position, time and speed; force acting on a body in motion; laws of motion; law of conservation of energy; law of conservation of momentum. Stresses and strains; principal stresses and strains; Mohr’s circle; generalized Hooke’s Law; thermal strain; theories of failure. Axial, shear and bending moment diagrams; axial, shear and bending stresses; deflection (for symmetric bending); torsion in circular shafts; thin cylinders; energy methods (Castigliano’s Theorems); Euler buckling. Free vibration of single degree of freedom systems. |

Book Name | Author | ISBN Number |
---|---|---|

Fundamentals of Solid Mechanics: A Treatise on Strength of Materials | Gambhir M.L | 8120338707, 978-8120338708 |

Solid Mechanics: Theory, Modeling, and Problems | Albrecht Bertram, Rainer Glüge | 3319360035, 978-3319360034 |

The strength of Materials (Mechanics of Solids) | R.K. Rajput | 9350144786, 978-9350144787 |

Thermodynamics is a discipline of physics related to heat and temperature and their relation to energy and work. It applies to a wide variety of topics in science and engineering, especially physical chemistry, chemical engineering and mechanical engineering.

Topics | Sub Topics |
---|---|

Basic Concepts | Continuum, macroscopic approach, the thermodynamic system (closed and open or control volume); thermodynamic properties and equilibrium; the state of a system, state diagram, path and procedure; various modes of work; Zeroth law of thermodynamics; the concept of temperature; heat. |

First Law of Thermodynamics | Energy, enthalpy, specific heats, the first law applied to systems and control volumes, steady and unsteady flow analysis. |

Second Law of Thermodynamics | Kelvin-Planck and Clausius statements, reversible and irreversible procedures, Carnot theorems, thermodynamic temperature scale, Clausius inequality and concept of entropy, the principle of increase of entropy; availability and irreversibility. |

Properties of Pure Substances | Thermodynamic properties of pure substances in solid, liquid and vapour phases, P-V-T behaviour of simple compressible substances, phase rule, thermodynamic property tables and charts, ideal and real gases, equations of state, compressibility chart. |

Thermodynamic Relations | T-ds relations, Maxwell equations, Joule-Thomson coefficient, the coefficient of volume expansion, adiabatic and isothermal compressibilities, Clapeyron equation. |

Thermodynamic cycles | Carnot vapour power cycle, Ideal Rankine cycle, Rankine Reheat cycle, Air standard Otto cycle, Air standard Diesel cycle, Air-standard Brayton cycle, Vapor compression refrigeration cycle. |

Ideal Gas Mixtures | Dalton’s and Amagat’s laws, calculations of properties, air-water vapour mixtures and simple thermodynamic procedures involving them. |

Book Name | Author | ISBN Number |
---|---|---|

Heat and Thermodynamics | Anandamoy Manna | 8131754006, 978-8131754009 |

Thermodynamics | Singh Kumar Ashok | 9383137967, 978-9383137961 |

Thermodynamics and An Introduction to Thermostatistics | Herbert B Callen | 8126508124, 978-8126508129 |

Engineering Thermodynamics | Gupta S.K. | 8121942705, 978-8121942706 |

Polymer science or macromolecular science is a subfield of materials science related to polymers, primarily synthetic polymers such as plastics and elastomers. The field of polymer science comprises researchers in multiple branches including chemistry, physics, and engineering.

Topics | Sub Topics |
---|---|

Chemistry of high polymers | Monomers, functionality, degree of polymerizations, classification of polymers, glass transition, melting transition, criteria for rubberiness, polymerization methods: addition and condensation; their kinetics, metallocene polymers and other newer techniques of polymerization, copolymerization, monomer reactivity ratios and its significance, kinetics, various copolymers, random, alternating, azeotropic copolymerization, block and graft copolymers, techniques for copolymerization-bulk, solution, suspension, emulsion. |

Polymer Characterization | Solubility and swelling, concept of average molecular weight, determination of number average, weight average, viscosity average and Z-average molecular weights, polymer crystallinity, analysis of polymers using IR, XRD, thermal (DSC, DMTA, TGA), microscopic (optical and electronic) techniques. |

Synthesis and properties | Commodity and general purpose thermoplastics: PE, PP, PS, PVC, Polyesters, Acrylic, PU polymers. Engineering Plastics: Nylon, PC, PBT, PSU, PPO, ABS, Fluoropolymers Thermosetting polymers: 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. |

Polymer blends and composites | Difference between 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 Technology | Polymer compounding-required and significance, various compounding ingredients for rubber and plastics, crosslinking and vulcanization, vulcanization kinetics. |

Polymer rheology | Flow of Newtonian and non-Newtonian fluids, various flow equations, dependence of shear modulus on temperature, molecular/segmental deformations at various zones and transitions. Measurements of rheological parameters by capillary rotating, parallel plate, cone-plate rheometer. viscoelasticity-creep and stress relaxations, mechanical models, control of rheological characteristics via compounding, rubber curing in parallel plate viscometer, ODR and MDR. |

Polymer procedures | Compression molding, transfer molding, injection molding, blow molding, reaction injection molding, extrusion, pultrusion, calendaring, rotational molding, thermoforming, rubber procedures in a two-roll mill, internal mixer. |

Polymer testing | Mechanical-static and dynamic tensile, flexural, compressive, abrasion, endurance, fatigue, hardness, tear, resilience, impact, toughness. Organizeivity-thermal and electrical, dielectric constant, dissipation factor, power factor, electric resistance, surface resistivity, volume resistivity, swelling, ageing resistance, environmental stress cracking resistance. |

Book Name | Author | ISBN Number |
---|---|---|

Textbook of Polymer Science | Fred W. Billmeyer | 8126511109, 978-8126511105 |

Speciality Polymers: Materials and Applications | Faiz Mohammad | 8188237655, 978-8188237654 |

The Elements of Polymer Science and Engineering | Alfred Rudin Phillip Choi | 9780123821782, 0123821789 |

Introduction To Polymer Science And Technology | N. B. Singh | 8122430074 |

Food technology is a discipline of food science that deals with the production procedures that make foods.

Topics | Sub Topics |
---|---|

Food Chemistry and Nutrition | Carbohydrates: Structure and functional properties of monooligo-polysaccharides including starch, cellulose, pectic substances and dietary fibre; Proteins: Classification and structure of proteins in food; Lipids: Classification and structure of lipids, Rancidity of fats, Polymerization and polymorphism; Pigments: Carotenoids, chlorophylls, anthocyanins, tannins and myoglobin; Food flavours: Terpenes, esters, ketones and quinones; Enzymes: Specificity, Kinetics and inhibition, Coenzymes, Enzymatic and non-enzymatic browning; Nutrition: Balanced diet, Essential amino acids and fatty acids, PER, Water soluble and fat soluble vitamins, Role of minerals in nutrition, Antinutrients, Nutrition deficiency diseases. |

Food Microbiology | Characteristics of microorganisms: Morphology, structure and detection of bacteria, yeast and mold in food, Spores and vegetative cells; Microbial growth in food: Intrinsic and extrinsic factors, Growth and death kinetics, serial dilution mode for quantification; Food spoilage: Contributing factors, Spoilage bacteria, Microbial spoilage of milk and milk products, meat and meat products; Foodborne disease: Toxins produced by Staphylococcus, Clostridium and Aspergillus; Bacterial pathogens: Salmonella, Bacillus, Listeria, Escherichia coli, Shigella, Campylobacter; Fermented food: Buttermilk, yoghurt, cheese, sausage, alcoholic beverage, vinegar, sauerkraut and soya sauce. |

Food Products Technology | Procedures principles: Canning, chilling, freezing, dehydration, control of water activity, CA and MA storage, fermentation, hurdle technology, the addition of preservatives and food additives, Food packaging, cleaning in place and food laws.; Grain products procedureing: Milling of rice, wheat, and maize, parboiling of paddy, production of bread, biscuits, extruded products and breakfast cereals, Solvent extraction, refining and hydrogenation of oil; Fruits, vegetables and plantation products procedureing: Extraction, clarification concentration and packaging of fruit juice, Production of jam, jelly, marmalade, squash, candies, and pickles, pectin from fruit waste, tea, coffee, chocolate and essential oils from spices; Milk and milk products procedureing: Pasteurized and sterilized milk, cream, butter, ghee, ice-cream, cheese and milk powder; Animal products procedureing: Drying and canning of fish, post mortem changes, tenderization and freezing of meat, egg powder. |

Food Engineering | Mass and energy balance; Momentum transfer: Flow rate and pressure drop relationships for Newtonian fluids flowing via pipe, Characteristics of non-Newtonian fluids – generalized viscosity coefficient and Reynolds number, Flow of compressible fluid, Flow measurement, Pumps and compressors; Heat transfer: Heat transfer by organizeion, convection, radiation, boiling and condensation, Unsteady state heat transfer in simple geometry, NTUeffectiveness relationship of co-present and counter present double pipe heat exchanger; Mass transfer: Molecular diffusion and Fick’s Law, Steady state mass transfer, Convective mass transfer, Permeability of films and laminates; Mechanical operations: Energy requirement and rate of operations involved in size reduction of solids, high pressure homogenization, filtration, centrifugation, settling, sieving, flow via porous bed, agitation of liquid, solid-solid mixing, and single screw extrusion; Thermal operations: Energy requirement and rate of operations involved in procedure time evaluation in batch and continuous sterilization, evaporation of liquid foods, hot air drying of solids, spray and freeze-drying, freezing and crystallization; Mass transfer operations: Properties of air-water vapor mixture; Humidification and dehumidification operations. |

Book Name | Author | ISBN Number |
---|---|---|

Training Manual for Food and Beverage Services | Mahendra Singh Negi | 9385909185, 978-9385909184 |

Food Science | B Srilakshmi | 8122438091, 978-8122438093 |

Question Bank on Food Science and Technology | U D Chavan | 8170358825, 978-8170358824 |

Foods Facts and Principles | N. Shakuntala Mana | 8122422152, 978-8122422153 |

**Click Here To Solve GATE Exercise Papers**

Paper | Code | Paper | Code |
---|---|---|---|

Aerospace Engineering | AE | Mechanical Engineering | ME |

Agricultural Engineering | AG | Metallurgical Engineering | MT |

Civil Engineering | CE | Mining Engineering | MN |

Chemical Engineering | CH | Petroleum Engineering | PE |

Computer Science and Information Technology | CS | Production and Industrial Engineering | PI |

Electronics and Communication | EC | Textile Engineering and Fibre Science | TF |

Electrical Engineering | EE | Biotechnology | BT |

Instrumentation Engineering | IN |

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