GATE 2019 NEWS
NATIONAL LEVEL ONLINE TEST
GATE syllabus is different for each discipline. The question paper consists of 65 questions which are divided into three sections worth 100 marks and the duration of the exam is three hours. The questions are mostly fundamental, concept based and thoughtprovoking. GATE 2019 is scheduled to take place in the month of February i.e. 02, 03, 09 and 10 February 2019.
GATE Engineering Sciences (XE)syllabus comprises 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 is a national level exam which is held for admission to M.Tech/ Ph.D. in the field of engineering and technology. It is conducted on a rotational basis by zonal IITs and IISc Bangalore. To ace GATE 2019, one must have a clear about GATE Exam Pattern and syllabus. Candidates can check engineering sciences section syllabus in this article.
Engineering Mathematics is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry. It is an interdisciplinary subject motivated by engineers' needs 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, skewsymmetric and orthogonal matrices; Determinants; Eigenvalues and eigenvectors; Diagonalisation of matrices; CayleyHamilton Theorem. 
Calculus  Functions of single variable: Limit, continuity and differentiability; Mean value theorems; Indeterminate forms and L'Hospital's rule; Maxima and minima; Taylor's theorem; Fundamental theorem and mean valuetheorems of integral calculus; Evaluation of definite and improper integrals; Applications of definite integrals to evaluate areas and volumes. Functions of two variables: Limit, continuity and partial derivatives; Directional derivative; Total derivative; Tangent plane and normal line; Maxima, minima and saddle points; Method of Lagrange multipliers; Double and triple integrals, and their applications. Sequence and series: Convergence of sequence and series; Tests for convergence; Power series; Taylor's series; Fourier Series; Half range sine and cosine 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; CauchyRiemann 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; Method of variation of parameters; CauchyEuler 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; Method 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 GaussSeidel methods; Lagrange and Newton's interpolations, Solution of polynomial and transcendental equations by NewtonRaphson method; Numerical integration by trapezoidal rule, Simpson's rule and Gaussian quadrature rule; Numerical solutions of first order differential equations by Euler's method and 4th order RungeKutta method. 
Book Name  Author  ISBN Number 

GATE Engineering Mathematics  Abhinav Goel, Suraj Singh  935203550X, 9789352035502 
Higher Engineering Mathematics  B.S. Grewal  8174091955, 9788174091956 
GATE 2017: Engineering Mathematics  ME Team  9351471977, 9789351471974 
A Textbook of Engineering Mathematics  Dr. Sudheer K. Srivastava, Dr. Suyash N. Mishra Dr. Vijai S. Verma  9383758465, 9789383758463 
Wiley Acing the Gate: Engineering Mathematics and General Aptitude  Anil K. Maini, Varsha Agrawal, Nakul Maini  8126567430, 9788126567430 
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Fluid Mechanics is a branch of physics concerned with 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, relationship between stress and strainrate 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  NavierStokes equations, concept of fluid rotation, vorticity, stream function, Exact solutions of NavierStokes 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 nondimensional 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 DarcyWeisbach relation. 
Prandtl boundary layer equations  Concept and assumptions, qualitative idea of boundary layer and separation, streamlined and bluff bodies, drag and lift forces. Flow measurements: Basic ideas of flow measurement using venturimeter, pitotstatic 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 xray diffraction, miller indices of planes and directions, packing geometry in metallic, ionic and covalent solids. 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 various properties. 
Diffusion  Fick’s laws and application of diffusion in sintering, doping of semiconductors and surface hardening of metals. 
Metals and Alloys  Solid solutions, solubility limit, phase rule, binary phase diagrams, intermediate phases, intermetallic compounds, ironiron carbide phase diagram, heat treatment of steels, cold, hot working of metals, recovery, recrystallization and grain growth. Microstrcture, properties and applications of ferrous and nonferrous alloys. 
Ceramics  Structure, properties, processing and applications of traditional and advanced ceramics. 
Polymers  Classification, polymerization, structure and properties, additives for polymer products, processing and applications. 
Composites  Properties and applications of various composites. 
Advanced Materials and Tools  Smart materials, exhibiting ferroelectric, piezoelectric, optoelectric, semiconducting behavior, lasers and optical fibers, photoconductivity and superconductivity, 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 tunneling microscopy, atomic absorption spectroscopy, differential scanning calorimetry. 
Mechanical Properties  stressstrain 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 conductivity, thermal expansion of materials. 
Electronic Properties  Concept of energy band diagram for materials – conductors, semiconductors and insulators, electrical conductivity – effect of temperature on conductility, intrinsic and extrinsic semiconductors, 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, 9781259062759 
Materials Science and Engineering  SIE  William Smith, Javad Hashemi, Ravi Prakash  0070667179, 9780070667174 
Materials Science and Engineering  I P Singh  8183600956, 9788183600958 
Materials Science  Sedha R.S.  8121901464, 9788121901468 
Basics of Material Science and Engineering  Made Easy Editorial Board  9351472078, 9789351472070 
Solid mechanics is the branch of continuum mechanics that studies the behavior 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 branches of physics such as materials science.
Topics  Sub Topics 

Solid Mechanics  Equivalent force systems; freebody 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, 9788120338708 
Solid Mechanics: Theory, Modeling, and Problems  Albrecht Bertram, Rainer Glüge  3319360035, 9783319360034 
Strength of Materials (Mechanics of Solids)  R.K. Rajput  9350144786, 9789350144787 
Thermodynamics is a branch of physics concerned with 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, thermodynamic system (closed and open or control volume); thermodynamic properties and equilibrium; state of a system, state diagram, path and process; different modes of work; Zeroth law of thermodynamics; concept of temperature; heat. 
First Law of Thermodynamics  Energy, enthalpy, specific heats, first law applied to systems and control volumes, steady and unsteady flow analysis. 
Second Law of Thermodynamics  KelvinPlanck and Clausius statements, reversible and irreversible processes, Carnot theorems, thermodynamic temperature scale, Clausius inequality and concept of entropy, principle of increase of entropy; availability and irreversibility. 
Properties of Pure Substances  Thermodynamic properties of pure substances in solid, liquid and vapor phases, PVT behaviour of simple compressible substances, phase rule, thermodynamic property tables and charts, ideal and real gases, equations of state,compressibility chart. 
Thermodynamic Relations  Tds relations, Maxwell equations, JouleThomson coefficient, coefficient of volume expansion, adiabatic and isothermal compressibilities, Clapeyron equation. 
Thermodynamic cycles  Carnot vapor power cycle, Ideal Rankine cycle, Rankine Reheat cycle, Air standard Otto cycle, Air standard Diesel cycle, Airstandard Brayton cycle, Vaporcompression refrigeration cycle. 
Ideal Gas Mixtures  Dalton’s and Amagat’s laws, calculations of properties, airwater vapor mixtures and simple thermodynamic processes involving them. 
Book Name  Author  ISBN Number 

Heat and Thermodynamics  Anandamoy Manna  8131754006, 9788131754009 
Thermodynamics  Singh Kumar Ashok  9383137967, 9789383137961 
Thermodynamics and An Introduction to Thermostatistics  Herbert B Callen  8126508124, 9788126508129 
Engineering Thermodynamics  Gupta S.K.  8121942705, 9788121942706 
Polymer science or macromolecular science is a subfield of materials science concerned with polymers, primarily synthetic polymers such as plastics and elastomers. The field of polymer science includes researchers in multiple disciplines 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, different copolymers, random, alternating, azeotropic copolymerization, block and graft copolymers, techniques for copolymerizationbulk, solution, suspension, emulsion. 
Polymer Characterization  Solubility and swelling, concept of average molecular weight, determination of number average, weight average, viscosity average and Zaverage 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 miscibilitymiscible and immiscible blends, thermodynamics, phase morphology, polymer alloys, polymer eutectics, plasticplastic, rubberplastic and rubberrubber blends, FRP, particulate, long and short fibre reinforced composites. 
Polymer Technology  Polymer compoundingneed and significance, different compounding ingredients for rubber and plastics, crosslinking and vulcanization, vulcanization kinetics. 
Polymer rheology  Flow of Newtonian and nonNewtonian fluids, different flow equations, dependence of shear modulus on temperature, molecular/segmental deformations at different zones and transitions. Measurements of rheological parameters by capillary rotating, parallel plate, coneplate rheometer. viscoelasticitycreep and stress relaxations, mechanical models, control of rheological characteristics through compounding, rubber curing in parallel plate viscometer, ODR and MDR. 
Polymer processing  Compression molding, transfer molding, injection molding, blow molding, reaction injection molding, extrusion, pultrusion, calendaring, rotational molding, thermoforming, rubber processing in tworoll mill, internal mixer. 
Polymer testing  Mechanicalstatic and dynamic tensile, flexural, compressive, abrasion, endurance, fatigue, hardness, tear, resilience, impact, toughness. Conductivitythermal 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, 9788126511105 
Specialty Polymers: Materials and Applications  Faiz Mohammad  8188237655, 9788188237654 
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 branch of food science that deals with the production processes that make foods.
Topics  Sub Topics 

Food Chemistry and Nutrition  Carbohydrates: Structure and functional properties of monooligopolysaccharides 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 nonenzymatic 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 method 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  Processing principles: Canning, chilling, freezing, dehydration, control of water activity, CA and MA storage, fermentation, hurdle technology, addition of preservatives and food additives, Food packaging, cleaning in place and food laws.; Grain products processing: 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 processing: 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 processing: Pasteurized and sterilized milk, cream, butter, ghee, icecream, cheese and milk powder; Animal products processing: 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 through pipe, Characteristics of nonNewtonian fluids – generalized viscosity coefficient and Reynolds number, Flow of compressible fluid, Flow measurement, Pumps and compressors; Heat transfer: Heat transfer by conduction, convection, radiation, boiling and condensation, Unsteady state heat transfer in simple geometry, NTUeffectiveness relationship of cocurrent and counter current 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 through porous bed, agitation of liquid, solidsolid mixing, and single screw extrusion; Thermal operations: Energy requirement and rate of operations involved in process time evaluation in batch and continuous sterilization, evaporation of liquid foods, hot air drying of solids, spray and freezedrying, freezing and crystallization; Mass transfer operations: Properties of airwater vapor mixture; Humidification and dehumidification operations. 
Book Name  Author  ISBN Number 

Training Manual for Food and Beverage Services  Mahendra Singh Negi  9385909185, 9789385909184 
Food Science  B Srilakshmi  8122438091, 9788122438093 
Question Bank on food Science and Technology  U D Chavan  8170358825, 9788170358824 
Foods Facts and Principles  N. Shakuntala Mana  8122422152, 9788122422153 
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