# GATE Syllabus for Engineering Science 2018

4:17 am**Engineering Science** is a combination of different disciplines, program which focus on improved understanding and applying scientific,engineering and mathematical principles.Its a sole program which gives a basic foundation in science as well as associated mathematics.It also provides the students the opportunity to get indepth knowledge.This strategy has been designed for those students who wants to relate the engineering disciplines with science.

**GATE SYLLABUS FOR ENGINEERING SCIENCE 2018-**

**General Aptitude(GA)**-Multiple choice question

**This Paper Consists of Verbal Ability:**English grammar, verbal analogies, instructions, critical reasoning and verbal deduction,Sentence completion,Word groups.

**Section A: Engineering Mathematics(Compulsory)**

**Linear Algebra:****It contains vector spaces as well as linear mappings.**It include topics- Algebra of matrices, rank, inverse,system of linear equations, symmetric, skew-symmetric and orthogonal matrices. Hermitian, skew-Hermitian and unitary matrices.eigenvalues and eigenvectors, diagonalisation of matrices, Cayley-Hamilton Theorem.**Calculus:****mathematical study of change**.It include topics-Functions of single variable, limit, continuity and differentiability, Mean value theorems, Indeterminate forms and L’Hospital rule, Maxima and minima,Taylor’s series, Fundamental and mean value-theorems of integral calculus. Evaluation of definite and improper integrals, Beta and Gamma functions, Functions of two variables, limit, continuity, partial derivatives, Euler’s theorem for homogeneous functions, total derivatives, maxima and minima, Lagrange method of multipliers, double and triple integrals and their applications, sequence and series, tests for convergence, power series, Fourier Series, Half range sine and cosine series.**Complex variable:****Comes under complex analysis category.**It include topics- Analytic functions, Cauchy-Riemann equations, Application in solving potential problems, Line integral, Cauchy’s integral theorem and integral formula (without proof), Taylor’s and Laurent’ series, Residue theorem (without proof) and its applications.**Vector Calculus:**It include topics- Gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, Stokes, Gauss and Green’s theorems (without proofs) applications.**Ordinary Differential Equations:Equations that contains a function of one independent variable and its derivatives.**It include topics- First order equation (linear and nonlinear), Second order linear differential equations with variable coefficients, Variation of parameters method, higher order linear differential equations with constant coefficients, Cauchy- Euler’s equations, power series solutions, Legendre polynomials and Bessel’s functions of the first kind and their properties.**Partial Differential Equations:Equations that consists of not known multi variable functions and its partial derivatives.**It include topics- Separation of variables method,Laplace equation, solutions of one dimensional heat and wave equations.**Probability and Statistics:****It is the rough judgement of how likely a thing will occur or a statement is true.**It include topics- Definitions of probability and simple theorems, conditional probability, Bayes Theorem, random variables, discrete and continuous distributions, Binomial, Poisson, and normal distributions, correlation and linear regression.**Numerical Methods:****Detail analysis of algorithm that take help of numerical approximation.**It include topics- Solution of a system of linear equations by L-U decomposition, Gauss-Jordan and Gauss-Seidel Methods, Newton’s interpolation formulae, Solution of a polynomial and a transcendental equation by Newton-Raphson method, numerical integration by trapezoidal rule, Simpson’s rule and Gaussian quadrature, numerical solutions of first order differential equation by Euler’s method and 4^{th}order Runge-Kutta method.

**Section B: Fluid Mechanics**

**Fluid Properties:Different properties of fluids.**It include topics- Relation between stress and strain rate for Newtonian fluids.**Hydrostatics:****It’s the fluid pressure at rest**.It include-Buoyancy, manometry, forces on submerged bodies.Eulerian and Lagrangian description of fluid motion, cnocept of local and convective accelerations, steady and unsteady flows, control volume analysis for mass, momentum and energy.Differential equations of mass and momentum (Euler equation), Bernoulli’s equation and its applications.Concept of fluid rotation, vorticity, stream function and potential function.Potential flow: elementary flow fields and principle of superposition, potential flow past a circular cylinder.**Dimensional analysis:Habit to ch****e****ck relation among physical quantities by dimensions identification**.It include topics-Concept of geometric, kinematic and dynamic similarity, importance of non-dimensional numbers.Fully-developed pipe flow, laminar and turbulent flows, friction factor, Darcy-Weisbach relation.Qualitative ideas of boundary layer and separation, streamlined and bluff bodies, drag and lift forces.Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate.

**Section C: Materials Science**

**Structure:****It’s a fundamental palpable or impalpable notion**.It include topics- 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. 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:****It results in mixing.**.It include topics- Fick’s laws and application of diffusion in sintering, doping of semiconductors and surface hardening of metals.**Metals and Alloys: A****lloys are metals only that is combination of two or more element**.It include topics-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. Microstrcture, properties and applications of ferrous and non-ferrous alloys.**Ceramics:****It is inorganic & nonmetallic solids**.It include- Structure, properties, processing and applications of traditional and advanced ceramics.**Polymers:****Large molecules that consists of many subunits.**It include topics-Classification, polymerization, structure and properties, additives for polymer products, processing and applications.**Composites:****Composition materials**.It include- Properties and applications of various composites.**Advanced Materials and Tools:**It include topics- 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:****Properties that involve response to applied load**.It include topics- 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:****Materials traits that find out the reaction when it is subjected****to excessive heat over time**.It include- Heat capacity, thermal conductivity, thermal expansion of materials.**Electronic Properties: characteristics****of a substance that determine its reaction to an electric****field.**It include topics- 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:****A substance inner ability to interact with light**.It include topics- Reflection, refraction, absorption and transmission of electromagnetic radiation in solids.**Magnetic Properties:****Materials properties which disclose its elastic and inelastic behavior whenever there is application of force**.It include topics-Origin of magnetism in metallic and ceramic materials, paramagnetism, diamagnetism, antiferro magnetism, ferromagnetism, ferrimagnetism, magnetic hysterisis.**Environmental Degradation:****It refers to degradation of environment by exploiting the resources.**it include- Corrosion and oxidation of materials, prevention.

**Section D: 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.

**Section E: Thermodynamics**

**Basic Concepts:Fundamental things related to thermodynamics.**It include- 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:Version of the law of conservation of energy.**It include topics- Energy, enthalpy, specific heats, first law applied to systems and control volumes, steady and unsteady flow analysis.**Second Law of Thermodynamics:Entropy of an isolated system never decreases**.It include-**Properties of Pure Substances:**It include- Thermodynamic properties of pure substances in solid, liquid and vapor phasels, 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:Are kinetic reactions**.It include- T-ds relations, Maxwell equations, Joule-Thomson coefficient, coefficient of volume expansion, adiabatic and isothermal compressibilities, Clapeyron equation.**Thermodynamic cycles: Collection of thermodynamic processes.**It include- Carnot vapor 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:**It include topics**–**Dalton’s and Amagat’s laws, calculations of properties, air-water vapor mixtures and simple thermodynamic processes involving them.

**Section F:**** Polymer Science and Engineering**

**Chemistry of high polymers:It refers to various high polymers and its details.**It include topics- 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 copolymerization-bulk, solution, suspension, emulsion.**Polymer Characterization:It deals with characterization at different levels.**It include topics-**Synthesis and properties:Making of different polymers and its properties.**It include topics-**Polymer blends and composites:Two polymers are mixed together in order to form a new material that consists of different physical characteristics.**It include topics**–**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:It deals with designs,study and alteration of polymers.**It include-**Polymer rheology:Analysis or study with change in temperature.**It include-**Polymer processing:It deals with making of polymers by going through different processes.**It include topics-**Polymer testing:To define the characteristics of polymer.**It include- 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.

**Section G: Food Technology**

**Food Chemistry and Nutrition:****It deals with the analysis of chemical processes and interactions****among all biological and non biological food components**.It include topics-Carbohydrates: Structure and functional properties of mono- oligo-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: Detail****study of Microganisms that pollute food.**It include topics- 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:****Different technologies involved in making food products.**It include topics- 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, ice-cream, cheese and milk powder; Animal products processing: Drying and canning of fish, post mortem changes, tenderization and freezing of meat, egg powder.**Food Engineering:****Applied physical science that merge microbiology,science and engineering education for food.**It include topics- Mass and energy balance; Momentum transfer: Flow rate and pressure drop relationships for Newtonian fluids flowing through 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 conduction, convection, radiation, boiling and condensation, Unsteady state heat transfer in simple geometry, NTU- effectiveness relationship of co-current 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, solid-solid 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 freeze-drying, freezing and crystallization; Mass transfer operations: Properties of air-water vapor mixture; Humidification and dehumidification operations.

**Download the pdf of GATE Syllabus for Engineering Science 2018 here GATE 2018 Exam Syllabus of Engineering Sciences (XE).pdf**

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