GATE Engineering Science

Career Avenues GATE Courses for Engineering Science (XE branch).
Study Material, VDO Lectures and India's Best Test Series.

CLASS ROOM PROGRAM

Career Avenues conducts classroom Program for Engineering Mathematics and General Aptitude portion only at all our offices. Please contact the office closest to you for fees and batch details.

Career Avenues Classes are designed to ensure an optimum mix of theoretical learning and problem solving. We aim to overall spend atleast 50% of the class time in question solving, and cover atleast 5 years of past GATE questions in class.

Our faculties are all from IIT or IISc with a top GATE score.

All India Telephone Number (Call/SMS/Whatsapp): 0-99304 06349

POSTAL COURSE

The postal course comprises theory booklets in the areas of engineering mathematics, general aptitude and all XE technical areas as per GATE syllabus + Free Online Test Series (75 section tests and 5 Mock GATE tests, including past GATE questions).

Books and questions available for all XE branches like Thermodynamics, Fluid Mechanics, Material Science, Polymer Science, Solid Mechanics and Food Technology. We let you choose books of 3 subjects besides Mathematics + Aptitude.

Upgrade anytime to Combo course or Classroom course by paying difference in fees

Study material made by IITians and GATE toppers. Revised this year as per latest GATE pattern.

Course Fee:
a) Printed Books : Rs. 10,000
b) Books (Soft copy on Pen Drive): Rs. 6000
c) Books (Soft copy online) : Rs. 5000

See sample material below.

Also see details of our most popular course : Postal course + VDO lecture combo course

COURSE FEES AND DISCOUNTS

Postal Course (with Test Series):

a) Printed Format: Rs. 10000            
b) Pen Drive (Soft copy): Rs. 6000           
c) Online (Soft copy): Rs. 5000

VDO Lectures (with Test Series):

d) GATE Drive (No internet required): Rs. 7500          

e) Online (Requires internet): Rs. 6000

Combo (Postal + VDO with Test Series): Most Popular

a+d: Rs. 14000          a+e: Rs. 12500           

b+d: Rs. 11000          c+e: Rs. 9000 

Online Test Series: Rs. 3000


Discounts are on all courses (except test series) and are based on Past GATE performance

  • Below AIR 1000: Rs. 2000
  • Below AIR 2000: Rs. 1500
  • Below AIR 3000: Rs. 1000

To enroll, click here: Enroll

VDO Lecture Course (GATE Drive)

The VDO Lectures comprise all areas of engineering mathematics and general aptitude as per GATE syllabus.

VDO lectures in technical areas of XE available for Fluid Mechanics, Thermodynamics and Solid Mechanics.

GATE Drive is a secure pen drive and can work on any laptop or PC on any operating system. Internet not required.

Over 100 hours of VDO lectures by our classroom faculty

Free Online Test Series (75 section tests and 5 Mock GATE tests)

Upgrade anytime to Combo course or Classroom course by paying difference in fees

Course Fee: Rs. 7500 (for latest GATE validity)

GATE Drive Extended validity : Rs. 2000 per year

Combo Course (Postal + VDO Lectures)

Most popular GATE prep program in the country. Postal Course + VDO Lectures!!

Comprehensive preparation. Almost as good as a classroom.

Upgrade anytime to Classroom course by paying difference in fees.

Course Fee (Printed Books and VDO Lectures on Pen Drive): Rs. 14000 (A discount of Rs. 3500 from the individual prices of postal course and GATE Drive)

Course Fee (Printed Books and Online VDO Lectures: Rs. 12500 (A discount of Rs. 3500 from the individual prices of postal course and Online VDOs)

Note: See more lower fees Combo course options under Course Fees box.

 

Test Series (Online)

75 section tests covering all areas of GATE including XE technical, Math and General aptitude, including past GATE questions.

5 full length GATE mock tests

All questions with detailed explanatory answers


Online Test platform just like GATE with Virtual Calculator and Automated Strength/Weakness Analysis.

Can be downloaded as an App on Smartphones too.

Rated best test platform in India.

Course Fee: Rs. 3000

Past GATE Results (XE Branch)

AIR 5: Ronit
AIR 8: Jayprakash
AIR 18: Sarabjit
AIR 35: Benjamin
AIR 54: Abirami
AIR 77: Shiral


Faculty Profile (XE Batch)

17 active XE faculty from IITs and IISc

IIT Mumbai – 5, IISc – 2, IIT Chennai – 2, IIT Delhi – 2, IIT Roorke – 3, IIT Kharagpur – 3.

Faculty top GATE rank of AIR 4.

GATE Math
GATE Math of Engineering Sciences
GATE Aptitude
GATE Aptitude of Engineering Sciences

CAREER AVENUES RESULTS: GATE

  • Harshal, XE

    Your Guidance through notes & tests was very much useful. Thanks Career Avenues team. Harshal, XE
  • Diksha, BT

    A very sincere thanks for all the help and support. It was very useful. Diksha, BT
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CAREER AVENUES RESULTS: GATE

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  • Aditya Raman (99.62 percentile)

    Thank you Career Avenues for the fantastic study material. It helped me do a structured preparation and enabled me to crack GATE.

  • Amit Talreja (99.89 percentile)

    Sir, I was able to achieve a top 20 AIR only with your help. Thanks you for solving my doubts so many times and guiding me on how to prepare.

  • Dola Banerjee (99.88 percentile)

    When I started, my Math concepts were very weak. As a student of Combo program, I really benefitted from the VDO lectures, especially in Mathematics and General Aptitude.

  • Ramesh Narayanan (99.94 percentile)

    The section tests and mocks helped me to prepare very well. I knew my weak areas and I worked on them. Thanks you Career Avenues.

  • Simran Mirchandani (99.33 percentile)

    Sir, your material for Textile really helped me. One request sir, please also provide video lectures for textile branch.

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CAREER AVENUES RESULTS: GATE

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  • Altaf Razzaq (99.71 percentile)

    I would like to thank the faculty of Career Avenues who have made useful material for students like us. Without his material, I was not knowing how to study for my GATE.
  • Rashmi Sabharwal (99.73 percentile)

    I was a student of the classroom program. I would like to thank all the faculty who were very good and motivating, especially Amit sir for his strategy classes.
  • Shilpa Roy (99.42 percentile)

    I got final admission into 2 IITs. Getting into IIT has been my dream since childhood. Thanks you to the faculty of Career Avenues for the help and counseling that you provided.
  • Savitha Agarwal (99.87 percentile)

    Sir, I was a test series student and my roommate was a postal student of Career Avenues course. Both of us made it into IIT. Thank you for helping me realize my potential.
  • Father of student Raghvendra N (99.23 percentile)

    First of all, I have to compliment your organization for providing assistance to our children. I purchased the course in October and in 3 months, my ward was able to prepare fully and cracked the GATE. Your material and test series really helped him. Thank you Career Avenues.
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Syllabus for Engineering Science (XE)

ENGINEERING MATHEMATICS

Syllabus for Engineering Sciences (XE)

  1. Section A: Engineering Mathematics
  2. Section B: Fluid Mechanics
  3. Section C: Materials Science
  4. Section D: Solid Mechanics
  5. Section E: Thermodynamics
  6. Section F: Polymer Science and Engineering
  7. Section G: Food Technology

Section A: Engineering Mathematics (Compulsory)

Linear Algebra: Algebra of matrices, inverse, rank, 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: 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: 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: 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: 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: Separation of variables method,Laplace equation, solutions of one dimensional heat and wave equations.

Probability and Statistics: 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: 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 4th order Runge-Kutta method.

Section B: Fluid Mechanics

Fluid Properties: Relation between stress and strain rate for Newtonian fluids.

Hydrostatics: Buoyancy, manometry, forces on submerged bodies. Eulerian and Lagrangian description of fluid motion, concept 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: 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: 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: 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, 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: 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: 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 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.

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: 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: Kelvin-Planck 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, 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, 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, Air-standard Brayton cycle, Vapor-compression refrigeration cycle.

Ideal Gas Mixtures: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: 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: 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-need and significance, different compounding ingredients for rubber and plastics, crosslinking and vulcanization, vulcanization kinetics.

Polymer rheology: Flow of Newtonian and non-Newtonian 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, cone-plate rheometer. viscoelasticity-creep 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 two-roll mill, internal mixer.

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.

Section G: Food Technology

Food Chemistry and Nutrition: 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: 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, 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: 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.

SAMPLE TESTS

Take a free 15 minutes / 30 minutes or a full-fledged Mock GATE. Get to know where you stand. Just click on the link below to access tests.

Free Mock Test

More Information (Engineering Science)

For Engineering Science, while Section A is compulsory for all students, a student has to choose 2 subjects from the other sections. The sections in XE are

Section A: Engineering Mathematics

Section B: Fluid Mechanics

Section C: Materials Science

Section D: Solid Mechanics

Section E: Thermodynamics

Section F: Polymer Science and Engineering

Section G: Food Technology

PAST GATE Papers

2014 paper2014 Answer Key

2013 Paper2013 Answer key

Number of GATE Takers

Some key statistics about GATE – XE

Number of Test Takers 2011 : 2275

Number of Test Takers 2012 : 1958

Number of Test Takers 2013 : 2476

Number of Test Takers 2014 : 2532

GATE 2014: Qualifying marks

Qualifying marks General: 29.18, Qualifying marks OBC: 26.26, Qualifying marks SC/ST/PWD: 19.45