GATE
GATE (Graduate Aptitude Test in Engineering) is a national level entrance exam for admission to PG courses in the field of engineering and technology. Candidates can get admissions into M.Tech./Ph.D. programmes in IITs , Indian Institute of Science(IISc), IISERs and other reputed institutions through GATE score with MHRD and other Government Scholarships or Assistantships in Engineering/ Technology / Architecture/ Science.. Every year, GATE is organized by the seven zonal IITs and the Indian Institute of Science(IISc) on rotational basis.
Apart from granting admission, the score of gate exam is also considered as one of the criteria for recruitment to government and private organizations working in technical fields (PSUs).
Expert Faculty
Committed team of experienced faculty members (Full Time & Part Time) who are only from IITs and IISC having huge experience in teaching GATE subjects.
InDepth Course coverage 
Subjects are taught from basic level and main focus is on strong concept building, the subject materials is short and crisp and focuses directly on GATE syllabus .The course plan is properly organised with each topic given relevant time for completion . The right combination of theory & numerical are given to help the students to crack GATE.
Comprehensive Study Material 
Material books with Theory Explanation, Solved Examples, Practice Questions and previous years GATE Papers with Solutions are provided to students. Assignment sheets will be given every month and after completion of every subjects to students for practice. Test will cover all the topics from start of course till that date, making them not to forget older topics. Apart from core subjects we will also focus on General aptitude which is an integral part of GATE exams.Extensive Web Support 
The students will be given access to Online Exams 7 Mock Gate tests giving them the exact feeling of GATE exam, making them ready for the right moment. Updates on M. Tech admission notification and PSU Job alerts.
Personalized attention and performance assessment 
Separate doubt clarifying sessions will be given in batch or personally till the satisfaction of the student. Post GATE Counseling sessions will be given to the students clearing the GATE exam. Performance of each individual student will be tracked and all the steps needed for improvement will be taken accordingly.
GATE 2018 exam dates will be declared when the notification will be released in July, 2017. Students may check tentative dates below.
Events  Dates (Tentative) 

Commencement of Online Application Form  First week of September 2019 
Last Date of Application Form Submission  First week of October 2019 
Corrections in Application Form  Second week of October 2019 
Last Date to request for change in examination city  Third week of October 2019 
Admit Card Availability  First week of January 2020 
GATE 2018 Exam Date  First & Second Saturday & Sunday of February 2020 
Answer Key Released On  Within a few days after examination 
Result Declaration  Last week of March 2020 
Downloading of Score Card Begins  Last week of March 2020 to Last week of May 2020 
Counselling Commence  Second week of April 2020 
Candidates can check GATE eligibility criteria. In order to fill the GATE application form 2018, students should have any one of the qualification as mentioned below:
Qualification Required  Description about the Qualifying Degree  Status of the Degree)  Year of Passing 

B.E./B.Tech/B.Pharm  4years B.Tech (after 10+2) in any stream or 3years B.Tech lateral entry (after B.Sc./Diploma in Engineering/Technology). Final year candidates may also apply.  Pursuing final year examination or completed  2018 
B.Arch  5years bachelor’s degree in Architecture  Pursuing final year examination or completed  2018 
B.Sc. Research/B.S.  4years Bachelor’s degree in Science (postdiploma or after 10+2)  Pursuing final year examination or completed  2018 
M. Sc./M.A./MCA or equivalent  Master’s degree in Science/Mathematics/Statistics/Computer Applications or equivalent  Currently in final year or completed  2018 
Int. M.E/M.Tech (PostB.Sc.)  4years PostBSc Integrated Master’s degree programs in Engineering / Technology  Presently in 2nd/3rd/4th year or completed  2010 
Int. M.E./M.Tech or Dual Degree (after Diploma or 10+2)  5years Integrated Master’s degree program or Dual Degree program in Engineering/Technology  Currently in 4th/5th year or completed  2019 
Int. M.Sc/Int. B.S.M.S.  Integrated M.Sc. or Five year integrated B. S./M. S. program  Pursuing final year examination or completed  2018 
Professional Society Examination equivalent to B.Tech/B.E./B.Arch  B.E/B.Tech/B.Arch equivalent examinations of Professional Societies, recognized by MHRD/UPSC/AICTE (e.g., AMIE by Institution of EngineersIndia, AMICE by the Institute of Civil Engineers India)  Completed section A or equivalent of such professional courses  NA 
Note: International candidates should have completed Bachelor’s degree in Engineering/Technology or Postgraduate (M.Sc.) degree in any relevant science subject.AT the time of filling the application form, students have to upload their proof of qualification eligibility. Students who have passed the qualifying degree in 2017 or before are required to submit the degree certificate/provisional certificate while the other candidates have to upload certificate from Principal/head of the institution.
The detailed GATE 2018 exam pattern is given below:
Course: GATE is conducted for M.Tech./Ph.D. programme in IITs , IISc and various other institutions.
Number of Papers: GATE 2018 is held for total 23 papers. Candidates are allowed to appear in only one of the 23 papers.
Mode of Examination: The examination mode will be online only (CBT).
Exam Duration: The examination duration will be 3 hours.
Number of Questions: Total 65 questions of maximum 100 marks will be asked in GATE 2018.
Type of Questions: Multiple Choice Questions (MCQ) & Numerical Answer Type Questions (NAT) will appear in GATE examination. For MCQ, 4 choices will be provided while there will be no options provided for NAT. Students are required to enter the real number in Numerical Answer Type Questions with the help of virtual keypad.
Section Common in All GATE Papers: General Aptitude (GA) section is common in all papers. It will contain total 150 questions of maximum 15 marks (5 questions of 1 mark and 5 questions of 2 marks).
New Section: In the paper of XE, new section (H) namely Atmospheric and Oceanic Sciences has been included from the year 2017.
Marking Scheme: MCQ and NAT questions will carry 1 or 2 marks in all papers.
Negative Marking: There will be a negative marking of 1/3 marks for the questions carrying 1 mark. Likewise, for questions carrying 2 marks, 2/3 marks will be deducted. No negative marking for Numerical Answer Type questions.
Exam Pattern For Paper AE:
Exam Pattern For Paper XE:
GATE Virtual Calculator.
GATE virtual calculator is the online calculator which contains all the operations and functions for carrying out calculations. The virtual calculator will be provided during online examination. No physical calculator will be allowed in the examination hall. Students have to use the virtual calculator for solving Numerical Answer Type Questions.
GATE Aerospace Engineering (AE) Syllabus
Important Note for Students : In each of the following subjects the topics have been divided into two categories – Core Topics and Special Topics. The corresponding sections of the question paper will contain 90% of their questions on Core Topics and the remaining 10% on Special Topics.
Section 1: Engineering Mathematics
Linear Algebra:
Vector algebra, Matrix algebra, systems of linear equations, rank of a matrix, eigenvalues and eigen vectors.
Calculus:
Functions of single variable, limit, continuity and differentiability, mean value theorems, evaluation of definite and improper integrals, partial derivatives, total derivative, maxima and minima, gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals. Theorems of Stokes, Gauss and Green.
Differential Equations:
First order linear and nonlinear differential equations, higher order linear ODEs with constant coefficients. Partial differential equations and separation of variables methods.
Special Topics:
Fourier Series, Laplace Transforms, Numerical methods for linear and nonlinear algebraic equations, Numerical integration and differentiation. Section 2: Flight Mechanics
Atmosphere:
Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts.
Airplane performance:
Pressure altitude; equivalent, calibrated, indicated air speeds; Primary flight instruments: Altimeter, ASI, VSI, Turnbank indicator. Drag polar; take off and landing; steady climb & descent,absolute and service ceiling; cruise, cruise climb, endurance or loiter; load factor, turning flight, Vn diagram; Winds: head, tail & cross winds.
Static stability:
Angle of attack, sideslip; roll, pitch & yaw controls; longitudinal stick fixed & free stability, horizontal tail position and size; directional stability, vertical tail position and size; dihedral stability. Wing dihedral, sweep & position; hinge moments, stick forces.
Dynamic stability:
Euler angles; Equations of motion; aerodynamic forces and moments, stability & control derivatives; decoupling of longitudinal and latdirectional dynamics; longitudinal modes; lateraldirectional modes.
Section 3: Space Dynamics
Central force motion, determination of trajectory and orbital period in simple cases.
Orbit transfer, inplane and outofplane.Section 4: Aerodynamics
Basic Fluid Mechanics:
Conservation laws: Mass, momentum (Integral and differential form); Potential flow theory: sources, sinks, doublets, line vortex and their superposition; Viscosity, Reynold's number.
Airfoils and wings:
Airfoil nomenclature; Aerodynamic coefficients: lift, drag and moment; KuttaJoukoswki theorem; Thin airfoil theory, Kutta condition, starting vortex; Finite wing theory: Induced drag, Prandtl lifting line theory; Critical and drag divergence Mach number.
Compressible Flows:
Basic concepts of compressibility, Conservation equations; One dimensional compressible flows, Fanno flow, Rayleigh flow; Isentropic flows, normal and oblique shocks, PrandtlMeyer flow; Flow through nozzles and diffusers.
Special Topics:
Elementary ideas of viscous flows including boundary layers; Wind Tunnel Testing: Measurement and visualization techniques.
Section 5: Structures
Strength of Materials:
States of stress and strain. Stress and strain transformation. Mohr's Circle. Principal stresses. Threedimensional Hooke's law. Plane stress and strain; Failure theories: Maximum stress, Tresca and von Mises; Strain energy. Castigliano's principles. Analysis of statically determinate and indeterminate trusses and beams. Elastic flexural buckling of columns.
Flight Vehicle Structures:
Characteristics of aircraft structures and materials. Torsion, bending and flexural shear of thinwalled sections. Loads on aircraft.
Structural Dynamics:
Free and forced vibrations of undamped and damped SDOF systems. Free vibrations of undamped 2DOF systems.
Special Topics:
Vibration of beams. Theory of elasticity: Equilibrium and compatibility equations, Airy’s stress function.
Section 6: Propulsion
Basics:
Thermodynamics, boundary layers and heat transfer and combustion thermochemistry.
Thermodynamics of aircraft engines:
Thrust, efficiency and engine performance of turbojet, turboprop, turbo shaft, turbofan and ramjet engines, thrust augmentation of turbojets and turbofan engines. Aero thermodynamics of nonrotating propulsion components such as intakes, combustor and nozzle.
Axial compressors:
Angular momentum, work and compression, characteristic performance of a single axial compressor stage, efficiency of the compressor and degree of reaction.Axial turbines:
Axial turbine stage efficiency
Centrifugal compressor:
Centrifugal compressor stage dynamics, inducer, impeller and diffuser.
Rocket propulsion:
Thrust equation and specific impulse, vehicle acceleration, drag, gravity losses, multistaging of rockets. Classification of chemical rockets, performance of solid and liquid propellant rockets.
SECTION 7 : General Aptitude
General Aptitude Syllabus for GATE 2018 is the same across all streams.

Part 1 –
Verbal Ability
 English Grammar
 Sentence Completion
 Verbal Analogies
 Word Groups.
 Instructions.
 Critical Reasoning.
 Verbal Deduction.

Part 2 –
 Numerical Ability
 Numerical Computation.
 Numerical Estimation.
 Numerical Reasoning.
 Data Interpretation
GATE BIOTECHNOLOGY (BT) Syllabus
Section 1: Engineering Mathematics
Linear Algebra:
Linear Algebra: Matrices and determinants, Systems of linear equations, Eigen values and Eigen vectors. Calculus: Limit, continuity and differentiability, Partial derivatives, Maxima and minima, Sequences and series, Test for convergence, Fourier Series. Differential Equations: Linear and nonlinear first order ODEs, higher order ODEs with constant coefficients, Cauchy’s and Euler’s equations, Laplace transforms, PDELaplace, heat and wave equations. Probability and Statistics: Mean, median, mode and standard deviation, Random variables, Poisson, normal and binomial distributions, Correlation and regression analysis. Numerical Methods: Solution of linear and nonlinear algebraic equations, Integration of trapezoidal and Simpson’s rule, Single and multistep methods for differential equations.
Section 2: GENERAL BIOTECHNOLOGY
BIOCHEMISTRY:
Biomoleculesstructure and functions; Biological membranes, structure, action potential and transport processes; Enzymes classification, kinetics and mechanism of action; Basic concepts and designs of metabolism (carbohydrates, lipids, amino acids and nucleic acids) photosynthesis, respiration and electron transport chain; Bioenergetics.
MICROBIOLOGY:
Viruses structure and classification; Microbial classification and diversity (bacterial, algal and fungal); Methods in microbiology; Microbial growth and nutrition; Aerobic and anaerobic respiration; Nitrogen fixation; Microbial diseases and hostpathogen interaction.
CELL BIOLOGY:
Prokaryotic and eukaryotic cell structure; Cell cycle and cell growth control; CellCell communication, Cell signaling and signal transduction.
MOLECULAR BIOLOGY AND GENETICS:
Molecular structure of genes and chromosomes; Mutations and mutagenesis; Nucleic acid replication, transcription, translation and their regulatory mechanisms in prokaryotes and eukaryotes; Mendelian inheritance; Gene interaction; Complementation; Linkage, recombination and chromosome mapping; Extra chromosomal inheritance; Microbial genetics (plasmids, transformation, transduction, conjugation); Horizontal gene transfer and Transposable elements; RNA interference; DNA damage and repair; Chromosomal variation; Molecular basis of genetic diseases.
ANALYTICAL TECHNIQUES:
Principles of microscopylight, electron, fluorescent and confocal; Centrifugation high speed and ultra; Principles of spectroscopyUV, visible, CD, IR, FTIR, Raman, MS,NMR; Principles of chromatography ion exchange, gel filtration, hydrophobic interaction, affinity, GC,HPLC, FPLC; Electrophoresis; Microarray.
IMMUNOLOGY:
History of Immunology; Innate, humoral and cell mediated immunity; Antigen; Antibody structure and function; Molecular basis of antibody diversity; Synthesis of antibody and secretion; Antigenantibody reaction; Complement; Primary and secondary lymphoid organ; B and T cells and macrophages; Major histocompatibility complex (MHC); Antigen processing and presentation; Polyclonal and monoclonal antibody; Regulation of immune response; Immune tolerance; Hypersensitivity; Autoimmunity; Graft versus host reaction.
BIOINFORMATICS:
Major bioinformatic resources and search tools; Sequence and structure databases; Sequence analysis (biomolecular sequence file formats, scoring matrices, sequence alignment, phylogeny);Data mining and analytical tools for genomic and 11 of 72 proteomic studies; Molecular dynamics and simulations (basic concepts including force fields, proteinprotein, proteinnucleic acid, proteinligand interaction)
Section 3: RECOMBINANT DNA TECHNOLOGY
Restriction and modification enzymes; Vectors; plasmid, bacteriophage and other viral vectors, cosmids, Ti plasmid, yeast artificial chromosome; mammalian and plant expression vectors; cDNA and genomic DNA library; Gene isolation, cloning and expression ; Transposons and gene targeting; DNA labeling; DNA sequencing; Polymerase chain reactions; DNA fingerprinting; Southern and northern blotting; Insitu hybridization; RAPD, RFLP; Sitedirected mutagenesis; Gene transfer technologies; Gene therapy .
Section 4: PLANT AND ANIMAL BIOTECHNOLOGY
Totipotency; Regeneration of plants; Plant growth regulators and elicitors; Tissue culture and Cell suspension culture system: methodology, kinetics of growth and, nutriat optimization; Production of secondary metabolites by plant suspension cultures; Hairy root culture; transgenic plants; Plant products of industrial importance Animal cell culture; media composition and growth conditions; Animal cell and tissue preservation; Anchorage and nonanchorage dependent cell culture; Kinetics of cell growth; Micro & macrocarrier culture; Hybridoma technology; Stem cell technology; Animal cloning; Transgenic animals.
Section 5: BIOPROCESS ENGINEERING AND PROCESS BIOTECHNOLOGY
Chemical engineering principles applied to biological system, Principle of reactor design, ideal and nonideal multiphase bioreactors, mass and heat transfer; Rheology of fermentation fluids, Aeration and agitation; Media formulation and optimization; Kinetics of microbial growth, substrate utilization and product formation; Sterilization of air and media; Batch, fedbatch and continuous processes; Various types of microbial and enzyme reactors; Instrumentation control and optimization; Unit operations in solidliquid separation and liquidliquid extraction; Process scaleup, economics and feasibility analysis Engineering principle of bioprocessing Upstream production and downstream; Bioprocess design and development from lab to industrial scale; Microbial, animal and plant cell culture platforms; Production of biomass and primary/secondary metabolites; Biofuels, Bioplastics, industrial enzymes, antibiotics; Large scale production and purification of recombinant proteins; Industrial application of chromatographic and membrane based bioseparation methods; Immobilization of biocatalysts (enzymes and cells) for bioconversion processes; BioremediationAerobic and anaerobic processes for stabilization of solid / liquid wastes.
SECTION 6 : General Aptitude
General Aptitude Syllabus for GATE 2018 is the same across all streams.

Part 1 –
Verbal Ability
 English Grammar
 Sentence Completion
 Verbal Analogies
 Word Groups.
 Instructions.
 Critical Reasoning.
 Verbal Deduction.

Part 2 –
 Numerical Ability
 Numerical Computation.
 Numerical Estimation.
 Numerical Reasoning.
 Data Interpretation
GATE CHEMICAL ENGINEERING (CH) Syllabus
Section 1: Engineering Mathematics
Linear Algebra:
Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus:
Functions of single variable, Limit, continuity and differentiability, Taylor series, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems
Differential equations:
First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy’s and Euler’s equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables:
Complex number, polar form of complex number, triangle inequality.
Probability and Statistics:
Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions, Linear regression analysis.
Numerical Methods:
Numerical solutions of linear and nonlinear algebraic equations. Integration by trapezoidal and Simpson’s rule. Single and multistep methods for numerical solution of differential equations.
Section 2: Process Calculations and Thermodynamics
Steady and unsteady state mass and energy balances including multiphase, multicomponent, reacting and nonreacting systems. Use of tie components; recycle, bypass and purge calculations; Gibb’s phase rule and degree of freedom analysis.
First and Second laws of thermodynamics. Applications of first law to close and open systems. Second law and Entropy. Thermodynamic properties of pure substances: Equation of State and residual properties, properties of mixtures: partial molar properties, fugacity, excess properties and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium.
Section 3: Fluid Mechanics and Mechanical Operations
Fluid statics, Newtonian and nonNewtonian fluids, shellbalances including differential form of Bernoulli equation and energy balance, Macroscopic friction factors, dimensional analysis and similitude, flow through pipeline systems, flow meters, pumps and compressors, elementary boundary layer theory, flow past immersed bodies including packed and fluidized beds, Turbulent flow: fluctuating velocity, universal velocity profile and pressure drop.
Particle size and shape, particle size distribution, size reduction and classification of solid particles; free and hindered settling; centrifuge and cyclones; thickening and classification, filtration, agitation and mixing; conveying of solids.
Section 4: Heat Transfer
Steady and unsteady heat conduction, convection and radiation, thermal boundary layer and heat transfer coefficients, boiling, condensation and evaporation; types of heat exchangers and evaporators and their process calculations. Design of double pipe, shell and tube heat exchangers, and single and multiple effect evaporators.
Section 5: Mass Transfer
Fick’s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface renewal theories; momentum, heat and mass transfer analogies; stagewise and continuous contacting and stage efficiencies; HTU & NTU concepts; design and operation of equipment for distillation, absorption, leaching, liquidliquid extraction, drying, humidification, dehumidification and adsorption.
Section 6: Chemical Reaction Engineering
Theories of reaction rates; kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors, nonideal reactors; residence time distribution, single parameter model; nonisothermal reactors; kinetics of heterogeneous catalytic reactions; diffusion effects in catalysis.
Section 7: Instrumentation and Process Control
Measurement of process variables; sensors, transducers and their dynamics, process modeling and linearization, transfer functions and dynamic responses of various systems, systems with inverse response, process reaction curve, controller modes (P, PI, and PID); control valves; analysis of closed loop systems including stability, frequency response, controller tuning, cascade and feed forward control.
Section 8: Plant Design and Economics
Principles of process economics and cost estimation including depreciation and total annualized cost, cost indices, rate of return, payback period, discounted cash flow, optimization in process design and sizing of chemical engineering equipments such as compressors, heat exchangers, multistage contactors.
Section 9: Chemical Technology
Inorganic chemical industries (sulfuric acid, phosphoric acid, chloralkali industry), fertilizers (Ammonia, Urea, SSP and TSP); natural products industries (Pulp and Paper, Sugar, Oil, and Fats); petroleum refining and petrochemicals; polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibers).
SECTION 10 : General Aptitude
General Aptitude Syllabus for GATE 2018 is the same across all streams.

Part 1 –
Verbal Ability
 English Grammar
 Sentence Completion
 Verbal Analogies
 Word Groups.
 Instructions.
 Critical Reasoning.
 Verbal Deduction.

Part 2 –
 Numerical Ability
 Numerical Computation.
 Numerical Estimation.
 Numerical Reasoning.
 Data Interpretation
GATE CHEMISTRY (CY) Syllabus
Section 1: Physical Chemistry
Structure:
Postulates of quantum mechanics. Time dependent and time independent Schrödinger equations. Born interpretation. Particle in a box. Harmonic oscillator. Rigid rotor. Hydrogen atom: atomic orbitals. Multielectron atoms: orbital approximation. Variation and first order perturbation techniques. Chemical bonding: Valence bond theory and LCAOMO theory. Hybrid orbitals. Applications of LCAOMOT to H2+, H2 and other homonuclear diatomic molecules, heteronuclear diatomic molecules like HF, CO, NO, and to simple delocalized π– electron systems. Hückel approximation and its application to annular π – electron systems. Symmetry elements and operations. Point groups and character tables. Origin of selection rules for rotational, vibrational, electronic and Raman spectroscopy of diatomic and polyatomic molecules. Einstein coefficients. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of nuclear magnetic resonance: nuclear g factor, chemical shift, nuclear coupling.
Equilibrium:
Laws of thermodynamics. Standard states. Thermochemistry. Thermodynamic functions and their relationships: GibbsHelmholtz and Maxwell relations, van’t Hoff equation. Criteria of spontaneity and equilibrium. Absolute entropy. Partial molar quantities. Thermodynamics of mixing. Chemical potential. Fugacity, activity and activity coefficients. Chemical equilibria. Dependence of equilibrium constant on temperature and pressure. Nonideal solutions. Ionic mobility and conductivity. DebyeHückel limiting law. DebyeHückelOnsager equation. Standard electrode potentials and electrochemical cells. Potentiometric and conductometric titrations. Phase rule. Clausius Clapeyron equation. Phase diagram of one component systems: CO2, H2O, S; two component systems: liquidvapour, liquidliquid and solidliquid systems. Fractional distillation. Azeotropes and eutectics. Statistical thermodynamics: microcanonical and canonical ensembles, Boltzmann distribution, partition functions and thermodynamic properties.
Kinetics:
Transition state theory: Eyring equation, thermodynamic aspects. Potential energy surfaces and classical trajectories. Elementary, parallel, opposing and consecutive reactions. Steady state approximation. Mechanisms of complex reactions. Unimolecular reactions. Kinetics of polymerization and enzyme catalysis. Fast reaction kinetics: relaxation and flow methods. Kinetics of photochemical and photophysical processes.
Surfaces and Interfaces:
Physisorption and chemisorption. Langmuir, Freundlich and BET isotherms. Surface catalysis: LangmuirHinshelwood mechanism. Surface tension, viscosity. Selfassembly. Physical chemistry of colloids, micelles and macromolecules.
Section 2: Inorganic Chemistry
Main Group Elements:
Hydrides, halides, oxides, oxoacids, nitrides, sulfides – shapes and reactivity. Structure and bonding of boranes, carboranes, silicones, silicates, boron nitride, borazines and phosphazenes. Allotropes of carbon. Chemistry of noble gases, pseudohalogens, and interhalogen compounds. Acidbase concepts.
Transition Elements:
Coordination chemistry – structure and isomerism, theories of bonding (VBT, CFT, and MOT). Energy level diagrams in various crystal fields, CFSE, applications of CFT, JahnTeller distortion. Electronic spectra of transition metal complexes: spectroscopic term symbols, selection rules, Orgel diagrams, chargetransfer spectra. Magnetic properties of transition metal complexes. Reaction mechanisms: kinetic and thermodynamic stability, substitution and redox reactions.
Lanthanides and Actinides:
Recovery. Periodic properties, spectra and magnetic properties.
Organometallics:
18Electron rule; metalalkyl, metalcarbonyl, metalolefin and metalcarbene complexes and metallocenes. Fluxionality in organometallic complexes. Types of organometallic reactions. Homogeneous catalysis  Hydrogenation, hydroformylation, acetic acid synthesis, metathesis and olefin oxidation. Heterogeneous catalysis  Fischer Tropsch reaction, ZieglerNatta polymerization.
Radioactivity:
Decay processes, halflife of radioactive elements, fission and fusion processes.
Bioinorganic Chemistry:
Ion (Na+ and K+) transport, oxygen binding, transport and utilization, electron transfer reactions, nitrogen fixation, metalloenzymes containing magnesium, molybdenum, iron, cobalt, copper and zinc.
Solids:
Crystal systems and lattices, Miller planes, crystal packing, crystal defects, Bragg’s law, ionic crystals, structures of AX, AX2, ABX3 type compounds, spinels, band theory, metals and semiconductors.
Instrumental Methods of Analysis:
UVvisible spectrophotometry, NMR and ESR spectroscopy, mass spectrometry. Chromatography including GC and HPLC. Electroanalytical methods polarography, cyclic voltammetry, ionselective electrodes. Thermoanalytical methods.
Section 3: Organic Chemistry
Stereochemistry:
Chirality of organic molecules with or without chiral centres and determination of their absolute configurations. Relative stereochemistry in compounds having more than one stereogenic centre. Homotopic, enantiotopic and diastereotopic atoms, groups and faces. Stereoselective and stereospecific synthesis. Conformational analysis of acyclic and cyclic compounds. Geometrical isomerism. Configurational and conformational effects, and neighbouring group participation on reactivity and selectivity/specificity.
Reaction Mechanisms:
Basic mechanistic concepts – kinetic versus thermodynamic control, Hammond’s postulate and CurtinHammett principle. Methods of determining reaction mechanisms through identification of products, intermediates and isotopic labeling. Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic). Addition reactions to carboncarbon and carbonheteroatom (N,O) multiple bonds. Elimination reactions. Reactive intermediates – carbocations, carbanions, carbenes, nitrenes, arynes and free radicals. Molecular rearrangements involving electron deficient atoms.
Organic Synthesis:
Synthesis, reactions, mechanisms and selectivity involving the following classes of compounds – alkenes, alkynes, arenes, alcohols, phenols, aldehydes, ketones, carboxylic acids, esters, nitriles, halides, nitro compounds, amines and amides. Uses of Mg, Li, Cu, B, Zn and Si based reagents in organic synthesis. Carboncarbon bond formation through coupling reactions  Heck, Suzuki, Stille and Sonogoshira. Concepts of multistep synthesis  retrosynthetic analysis, strategic disconnections, synthons and synthetic equivalents. Umpolung reactivity – formyl and acyl anion equivalents. Selectivity in organic synthesis – chemo, regio and stereoselectivity. Protection and deprotection of functional groups. Concepts of asymmetric synthesis – resolution (including enzymatic), desymmetrization and use of chiral auxilliaries. Carboncarbon bond forming reactions through enolates (including boron enolates), enamines and silyl enol ethers. Michael addition reaction. Stereoselective addition to C=O groups (Cram and FelkinAnh models).
Pericyclic Reactions and Photochemistry:
Electrocyclic, cycloaddition and sigmatropic reactions. Orbital correlations  FMO and PMO treatments. Photochemistry of alkenes, arenes and carbonyl compounds. Photooxidation and photoreduction. Diπmethane rearrangement, Barton reaction.
Heterocyclic Compounds:
Structure, preparation, properties and reactions of furan, pyrrole, thiophene, pyridine, indole, quinoline and isoquinoline.
Biomolecules:
Structure, properties and reactions of mono and disaccharides, properties of amino acids, chemical synthesis of peptides, structural features of proteins, nucleic acids, steroids, terpenoids, carotenoids, and alkaloids.
Spectroscopy:
Applications of UVvisible, IR, NMR and Mass spectrometry in the structural determination of organic molecules.
GATE Engineering Sciences (XE) Syllabus
A: Engineering Mathematics (Compulsory)
Section 1: 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.
Section 2: 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.
Section 3: Vector Calculus
Gradient, divergence and curl; Line and surface integrals; Green's theorem, Stokes theorem and Gauss divergence theorem (without proofs).
Section 4: 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.
Section 5: 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.
Section 6: 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.
Section 7: Probability and Statistics
Axioms of probability; Conditional probability; Bayes' Theorem; Discrete and continuous random variables: Binomial, Poisson and normal distributions; Correlation and linear regression.
Section 8: 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.
B: Fluid Mechanics
Section 1: 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.
Section 2: Kinematics
Eulerian and Lagrangian description of fluids motion, concept of local and convective accelerations, steady and unsteady flows.
Section 3: Integral analysisControl volume analysis for mass, momentum and energy.
Section 4: 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.
Section 5: 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.
Section 6: Dimensional analysis
Concept of geometric, kinematic and dynamic similarity, some common nondimensional parameters and their physical significance: Reynolds number, Froude number and Mach number.
Section 7: Internal flows
Fully developed pipe flow, empirical relations for laminar and turbulent flows: friction factor and DarcyWeisbach relation.
Section 8: 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.
C: 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.
D: Thermodynamics
Section 1: Basic Concepts
Continuum and macroscopic approach; thermodynamic systems (closed and open); thermodynamic properties and equilibrium; state of a system, state postulate for simple compressible substances, state diagrams, paths and processes on state diagrams; concepts of heat and work, different modes of work; zeroth law of thermodynamics; concept of temperature.
Section 2: 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 and unsteady flow analysis.
Section 3: Second Law of Thermodynamics
Limitations of the first law of thermodynamics, concepts of heat engines and heat pumps/refrigerators, KelvinPlanck and Clausius statements and their equivalence; reversible and irreversible processes; Carnot cycle and Carnot principles/theorems; thermodynamic temperature scale; Clausius inequality and concept of entropy; microscopic interpretation of entropy, the principle of increase of entropy, Ts diagrams; second law analysis of control volume; availability and irreversibility; third law of thermodynamics.
Section 4: 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, ideal gas equation of state and van der Waals equation of state; law of corresponding states, compressibility factor and generalized compressibility chart.
Section 5: Thermodynamic Relations
Tds relations, Helmholtz and Gibbs functions, Gibbs relations, Maxwell relations, JouleThomson coefficient, coefficient of volume expansion, adiabatic and isothermal compressibilities, Clapeyron and ClapeyronClausius equations.
Section 6: Thermodynamic Cycles
Carnot vapor cycle, ideal Rankine cycle, Rankine reheat cycle, airstandard Otto cycle, airstandard Diesel cycle, airstandard Brayton cycle, vaporcompression refrigeration cycle.
Section 7: Ideal Gas Mixtures
Dalton’s and Amagat’s laws, properties of ideal gas mixtures, airwater vapor mixtures and simple thermodynamic processes involving them; specific and relative humidities, dew point and wet bulb temperature, adiabatic saturation temperature, psychrometric chart.
E: General Aptitude
General Aptitude Syllabus for GATE 2017 is the same across all streams.

Part 1 –
Verbal Ability
 English Grammar
 Sentence Completion
 Verbal Analogies
 Word Groups.
 Instructions.
 Critical Reasoning.
 Verbal Deduction.
 Numerical Ability
 Numerical Computation.
 Numerical Estimation.
 Numerical Reasoning.
 Data Interpretation

Part 2 –
To make the students understand and master basic concepts which is helpful in deep study of their core subjects.
To focus on encouraging students to look beyond textbooks for learning and apply the concepts learnt for solving GATE problems.
To help to understand better what is taught in regular classes, but also to develop the acumen which will give them an edge over the rest of their peers. This results in better performance in final GATE exams.
To groom our students to increase there speed without any calculation mistakes for securing good marks and saving there time in final GATE exam
Prateek sir has been pivotal in helping me to understand the topics from the scratch. His patience and ability to teach people shows through. he is always ready to clear my concepts. I used to look forward to his classes since he made our concepts crystal clear. He also gave us many tips for the Gate exam and motivated is immensely. I am very grateful that he taught us. Thank u so much!!