GATE Syllabus 2026 revised, Download GATE syllabus PDF, Subject-Wise Syllabus

GATE Test Paper

Code

GATE Test Paper

Code

Aerospace Engineering

AE

Geology & Geophysics

GG

Agricultural Engineering

AG

Instrumentation Engineering

IN

Architecture and Planning

AR

Mathematics

MA

Biomedical Engineering

BM

Mechanical Engineering

ME

Biotechnology

BT

Mining Engineering

MN

Civil Engineering

CE

Metallurgical Engineering

MT

Chemical Engineering

CH

Naval Architecture & Marine Engineering

NM

Computer Science & Information Technology

CS

Petroleum Engineering

PE

Chemistry

CY

Physics

PH

Data Science & Artificial Intelligence

DA

Production & Industrial Engineering

PI

Electronics & Communication Engineering

EC

Statistics

ST

Electrical Engineering

EE

Textile Engineering & Fibre Science

TF

Environmental Science & Engineering

ES

Engineering Sciences

XE

Ecology and Evolution

EY

Humanities & Social Sciences

XH

Geomatics Engineering

GE

Life Sciences

XL

XE Paper Sections

Code

XH Paper Sections

Code

XL Paper Sections

Code

Engineering Mathematics

A

Reasoning and Comprehension

B1

Chemistry

P

(Compulsory) (15 marks)

(Compulsory) (25 marks)

(Compulsory) (25 marks)

Any TWO optional Sections

Any ONE optional Section

Any TWO optional Sections

(2x35 = 70 marks)

(60 marks)

(2x30 = 60 marks)

Fluid Mechanics

B

Economics

C1

Biochemistry

Q

Materials Science

C

English

C2

Botany

R

Solid Mechanics

D

Linguistics

C3

Microbiology

S

Thermodynamics

E

Philosophy

C4

Zoology

T

Polymer Science and Engineering

F

Psychology

C5

Food Technology

U

Food Technology

G

Sociology

C6

Atmospheric and Oceanic Sciences

H

Energy Science

I

Section

Topics

Fossil Energy Resources

R/P Ratio, Estimation of Reserves, Unconventional Fossil Resources (Coal bed methane, shale gas, gas hydrates, frozen methane), peak oil theory

Nuclear Energy Resources

Energy-mass relation, nuclear reaction conservation laws, binding energy, Q-values, radioactive decay, fission and fusion.

Solar Thermal Systems

Solar radiation distribution and management, solar geometry, optional efficiency, thermal efficiency, energy conservation for solar thermal collectors, flat plate collectors, evacuated tube collectors, solar air heaters, concentrating collectors.

Solar Photovoltaic (PV) Systems

I-V characteristics, efficiency, fill factor, series and parallel connections, sizing of PV systems (load factor, days of autonomy, battery size, inverter size, PV array size), maximum power point tracking.

Biomass

Biomass resources, biomass composition, characterisation, conversion methods (pyrolysis, gasification, steam reforming), biofuels.

Wind energy conversion systems

Wind resource analysis, types and characteristics of wind turbines, Betz limit, wind turbine motor design considerations, blade profile, wind energy generators)

Hydropower

Hydro resources, hydro power plants, turbines (Pelton, Kaplan, Francis), small hydro systems

Section

Topics

Energy Storage Systems

Batteries (capacity, C-rate, state of charge, state of health, depth of discharge, energy and power densities); conservation of energy and mass for thermal energy storage, pumped hydro storage, and compressed air storage, charging, discharging, and round-trip efficiency.

Economic Analysis of Energy Systems

Simple Payback Period, Time Value of Money, Discount rate, Present worth factor, capital recovery factor, life cycle costing, internal rate of return, net present value, annual worth, cost of save energy, levelised cost of energy.

Environmental Impacts of Energy Use

Air pollution (SOx, NOx, CO, particulates), greenhouse gas emissions, and their sources, emission factors, and inventories.

Energy Management

Energy auditing (methodology, analysis of past trends, plants data), electrical systems (demand side management, power factor correction), motor efficiency testing, energy efficient motors, lightning (lightening levels, efficient options, fixtures, daylightning, timers), thermal and mechanical systems (insulation, compressors, pumps, boilers, heating and cooling systems).

Section

Topic

Subtopics

Verbal Aptitude

Basic grammar

• Tenses
• Articles
• Adjectives
• Prepositions
• Conjunctions
• Parts of speech
• Verb-noun agreement

Basic vocabulary

• Antonyms
• Synonyms
• Idioms and phrases

Reading comprehension

• Reading and comprehension Narrative sequencing

Quantitative Aptitude

Data interpretation

• Data graphs (Bar, Pie, Histogram, etc.)
• 2- and 3- dimensional plots
• Maps and tables

Numerical computation and estimation

• Ratios
• Percentages
• Powers
• Exponents and logarithms
• Permutations and combinations

Other

• Mensuration
• Geometry
• Statistics & Probability

Analytical Aptitude

Logic

• Deduction and induction
• Analogy
• Numerical relations
• Reasoning

Spatial Aptitude

Transformation of shapes

• Translation, rotation & scaling
• Mirroring,
• Assembling
• Grouping paper folding, cutting
• Patterns in 2 and 3 dimensions

Sections

Syllabus Details

Reading Comprehension

Ability to understand complex language material in short paragraphs and answer questions regarding them.

Analytical Reasoning

Ability to understand relationships in statements or short passages and draw reasonable conclusions/inferences from them.

Expression

Questions on stylistic and rhetorical aspects of a short passage including corrections or modifications of particular sentences.

Logical Reasoning

Thinking critically to evaluate or to predict an argument, identify the main and supporting arguments, predicts outcomes, etc.

Section

Topics

Linear Algebra

Matrices and determinants | Cayley Hamilton theorem | Eigenvalues and eigenvectors | Linear and orthogonal transformations | Solutions of linear equations | Matrix algebra | LU decomposition

Calculus

Limit & functions of a single variable | Continuity and differentiability | Indeterminate forms | Mean value theorems | Evaluation of definite and improper integrals | Taylor series (in one and two variables) | Theorems of integral calculus | Double and triple integrals | Total, partial & directional derivatives | Fourier series | Maxima and minima | Gradient, divergence and curl | Vector identities | Line, surface and volume integrals | Applications of Gauss theorem, stokes, and Green’s theorems (vector analysis)

Differential Equation

First-order equations (linear and nonlinear) | Higher-order linear differential equations | Partial differential equations | Initial and boundary value problems | Method of separation of variables | Euler-Cauchy's equation | Laplace transforms | Solutions of heat, wave and Laplace's equations

Partial Differential Equations

Classification of second-order linear partial differential equations | Method of separation of variables | One-dimensional heat equation | Two dimensional Laplace equation

Complex Variables

Complex number and polar form | Analytic functions | Taylor and Laurent series | Cauchy-Riemann equations | Residue theorem | Cauchy’s integral theorem and integral formula

Probability and Statistics

Sampling theorems, conditional probability & Bayes theorem | Median, mean, mode, and random variables | Binomial distributions | Poisson and normal distributions | Discrete and continuous distributions | Linear regression and correlation analysis

Numerical Methods

Matrix inversion | Integration by trapezoidal and Simpson's rules | Numerical solutions of linear and non-linear algebraic equations | Single and multi-step methods for differential equations | Newton-Raphson method | Explicit Euler's method

Section

Important Topics

Flight Mechanics

Atmosphere & its components | Airplane performance | Static stability | Dynamic stability

Space Dynamics

Central force motion | Kepler's laws

Aerodynamics

Fluid mechanics | Airfoils & wings | Compressible flows | Wind tunnel testing

Structures

Material strength | Flight vehicle structures | Structural dynamics | Vibration of beams

Propulsion

Thermodynamics | Aerothermodynamics | Aircraft engine performance | Turbomachinery | Rockets

Section

Important Topics

Farm Machinery

Machine design | Hitch systems

Farm Power

Sources of power | Tractors and power tillers | Thermodynamic & I.C. Engines

Soil and Water Conservation Engineering

Fluid mechanics | Soil mechanics | Hydrology | Surveying and levelling | Soil and water erosion

Irrigation and Drainage Engineering

Groundwater hydrology | Agricultural drainage | Water requirement of crops | Wells and pumps

Agricultural Process Engineering

Agriculture produce | Evaporation and drying | Material Handling | Storage systems

Dairy and Food Engineering

Heat exchange & energy balance | Food preservation | Pasteurization

Part

Sections

Part A: Common

Planning and Design | Urban Design, Landscape and Conservation | Construction and Management | Services and Infrastructure | Environmental Planning and Design | Housing & Planning Process

Part B1: Architecture

History and Contemporary Architecture | Building Services and Sustainability | Building Construction and Structural systems

Part B2: Planning

Regional and Settlement Planning | Planning Techniques and Management | Infrastructure Planning

Section

Important Topics

Electrical Circuits

Voltage and current sources | Kirchoff’s laws | RLC circuits

Signals and Systems

Continuous and discrete | Laplace and fourier transforms

Analog and Digital Electronics

Applications of diode, BJT and MOSFET | Boolean algebra

Measurements and Control Systems

SI units, errors

Sensors and Bioinstrumentation

Sensors & their measurement techniques - ECG, EEG, EMG, ERG, EOG, GSR, PCG

Human Anatomy and Physiology

Cell | Organ systems

Medical Imaging Systems

MRI, ultrasound, x-ray

Biomechanics

Properties of bone | Kinematics of muscles & joints

Biomaterials

Properties of biomaterials | Tissue engineering

Section

Topics

General Biology

Biochemistry | Microbiology | Immunology

Genetics, Cellular and Molecular Biology

Genetics and evolution | Cell Biology | Molecular biology

Fundamentals of Biological Engineering

Material and energy balances | Thermodynamics | Transport processes

Bioprocess Engineering and Process Biotechnology

Bioreaction engineering | Upstream and downstream processing | Instrumentation and process control

Plant, Animal and Microbial Biotechnology

Plants: growth, regeneration, roots, seeds | Animal cell and tissue, stem cell | Microbes

Recombinant DNA Technology and Other Tools in Biotechnology

Recombinant DNA technology | Molecular tools | Analytical tools | Computational tools

Section

Important Topics

Process Calculations and Thermodynamics

Thermodynamics, Equation of state, and Gibb’s phase rule & energy balances

Fluid Mechanics and Mechanical Operations

Fluid statics, Flow of liquid & friction factors, Particle size, shape & classification

Heat Transfer

Heat exchange & energy transfer

Mass Transfer

Fick’s laws, HTU & NTU concept , Processes (absorption, diffusion, etc)

Chemical Reaction Engineering

Theories of reaction rates and Catalyst & reactors

Instrumentation and Process Control

Sensors and transducers, Controller modes (P, PI, and PID), and Cascade and feed-forward control.

Plant Design and Economics

Principles of process economics and Cash flow & ROI

Chemical Technology

Inorganic chemical industries and Petroleum refining and petrochemicals

Section

Important Topics

Physical Chemistry

Atomic structure, Group theory, Spectroscopy, Equilibrium states, Kinetics, and Surface chemistry

Inorganic Chemistry

Main group elements, Transition elements, Lanthanides & Actinides, Organometallics, Radioactivity Solids, Bioinorganic chemistry, and Instrumental methods of analysis

Organic Chemistry

Stereochemistry, Reaction mechanism, Organic synthesis, Pericyclic reactions and photochemistry, Heterocyclic Compounds, Biomolecules, and Experimental Techniques in Organic Chemistry

Section

Important Topics

Probability and Statistics

Permutation and combinations, Probability, Random variables: Discrete & random, and Distribution functions

Linear Algebra

Vectors, Gaussian elimination, and Decomposition

Calculus and Optimization

Limit, continuity and differentiability and Maxima and minima

Programming, Data Structures and Algorithms

Programming, Search algorithms, and Graph theory

Database Management and Warehousing

ER & Relational model, and Data types & transformation

Machine Learning

Supervised Learning, and Unsupervised Learning

Artificial Intelligence

Search: informed, uninformed, adversarial, and Inference through variable elimination & sampling.

Section

Important Topics

Mathematics Foundation

Linear algebra, Calculus & differential equations, Probability and statistics

Environmental Chemistry

Water chemistry, Soil chemistry, Atmospheric chemistry

Environmental Microbiology

Cell chemistry and cell biology, Microbiology and health, Microbial metabolism, Growth and control of microorganisms

Water Resources and Environmental Hydraulics

Water resources: global, surface & groundwater, Environmental Hydraulics

Water & Wastewater Treatment and Management

Sources of wastewater, Water treatment methods, Industrial effluents

Air and Noise Pollution

Particulate & Gaseous pollutants, Air Quality Management, Noise Pollution.

Solid and Hazardous Waste Management

Integrated solid waste management, and Management of biomedical waste, plastic waste and E-waste

Global and Regional Environmental Issues

Global warming, and Environmental degradation

Environmental Management and Sustainable Development

Environmental Impact Assessment, Energy-Environment nexus, and Sustainable development goals

Section

Important Topics

Ecology

Fundamental Concept, Interactions, Community Ecology, Ecosystems Structure and Function

Evolution

Evolutionary History, Origin and history of life on earth, Population and quantitative genetics, and Molecular evolution and phylogenetics

Mathematics and Quantitative Ecology

Permutations and combinations, Descriptive statistics, and Test statistics

Behavioural Ecology

Sensory Ecology, Reproduction, Social Living, Optimal foraging theory.

Applied Ecology & Evolution

Ex-situ & in-situ conservation, Invasive species, zoonotic diseases, and Global climate change

Section

Important Topics

Part-A: Common Section

Solar system, Earth, plate tectonics, oceanic crust, Weather & soil, Crystallography, Hydrogeology

Basic physics concepts, Minerals, rocks & other resources

Part-B1: Geology

Geomorphology, Structural Geology, Crystallography & mineralogy, Geochemistry, Igneous petrology, Sedimentology, Metamorphic petrology, Paleobiology, Stratigraphy, Resource geology, Global tectonics, Applied geology, Hydrogeology, Basic principle of remote sensing

Part-B2: Geophysics

Solid-Earth geophysics, Geodesy, Earthquake seismology, Potential & Time varying fields, Gravity methods, Magnetic methods, Electrical methods, Electromagnetic methods, Seismic Methods, Reservoir Geophysics, Geophysical signal processing, Geophysical well logging, Radioactive methods, Geophysical inversion

Section

Important Topics

Electricity and Magnetism

• Electrostatics
• Current electricity
• Electromagnetic induction

Electrical Circuits and Machines

• RLC circuits
• Voltage and current source
• Single phase Transformer

Signals and Systems

• Periodic & Aperiodic signals
• Laplace, Fourier and z-transforms
• DFT & FFT

Control Systems

• Stability analysis
• Routh and Nyquist's criteria
• P, PI,PID

Analog Electronics

• Diodes & Transistors
• Amplifiers
• Rectifiers

Digital Electronics

• Boolean functions
• Converters
• Circuits (Sequential, Arithmetic...)
• DCS & PLCs

Measurements

• SI Units
• Errors
• Measuring instruments
• Schering and Wien for measurement of R, L, C and frequency

Sensors and Industrial Instruments

• Hall effect
• Transducers
• Thermistor, Pyrometer, Semiconductor

Communication & Optical instruments

• Modulation& Demodulation
• LED, Photo diode, UV-VIS Spectrometers

Section

Important Topics

Calculus

Derivatives, Lagrange's theorem, Maxima & minima, Vector calculus, Integrals, Gauss divergence theorem

Ordinary Differential Equations

First & Second order differential equations, Cauchy-Euler equation, Eigenvalue problems, Linear systems (stationary points), Lyapunov functions

Partial Differential Equations

First & second order partial differential equations, Laplace equations (cartesian & polar plane), Wave equation, Heat equation, Laplace and Fourier transform methods.

Real Analysis

Sequences and series of functions, Ascoli-Arzela theorem, Inverse and Implicit function theorems

Fatou’s lemma, Monotone & dominated convergence theorem

Complex Analysis

Complex integration, Maximum modulus theorem, Taylor’s series and Laurent’s series, Schwarz lemma, Mobius transformation, Liouville’s theorem

Functional Analysis

Hahn-Banach theorem, Spaces (Banach, linear, inner-product), Riesz representation theorem, and Graph theorems.

Numerical Analysis

Systems of linear equations, Iterative methods, Numerical differentiation and error

Numerical integration, Trapezoidal and Simpson rules

Algebra

Groups (normal, quotient, cyclic), Domains (Euclidean, principal ideal, factorization), Einstein's Irreducibility criterion & fields

Linear Programming

Linear programming models, methods & solutions, Transportation problems, Hungarian method

Topology

Types of topology & related factors, and Urysohn’s lemma

Section

Important Topics

Mining Geology, Mine Development and Surveying

Mineral, rocks & ores, Drilling methods & machines, Blasting devices & design practices, and Mechanical cutting system.

Geomechanics and Ground Control

Engineering Mechanics, Geomechanics, and Designs of pillers, strata control & supporting

Mining Methods and Machinery

Surface mining, Highwall mining, Underground metal mining, Mining machinery

Surface Environment, Mine Ventilation and Underground Hazards

Pollution, contamination & control, Underground atmosphere, ventilation networks, Mine gases, Safety management plan

Mineral Economics, Mine Planning, Systems Engineering

Mineral resources & valuation, Mine planning & its components, Reliability concepts, network analysis

Section

Important Topics

Metallurgical Thermodynamics

Laws of thermodynamics, Ellingham and phase stability diagram, Electrochemistry

Transport Phenomenon and Rate Process

Momentum, mass & heat transfer, Chemical & electrochemical kinetics

Mineral Processing and Extractive Metallurgy

Metal casting, Hot, warm and cold working of metals, Metal joining, Powder metallurgy, Non-destructive testing (NDT)

Section

Important Topics

Applied Mechanics and Structures

Engineering Mechanics, Material Mechanics, Vibrations, Machine design

Fluid Mechanics and Marine Hydrodynamics

Fluid mechanics, Bernoulli's theorem, Boundary layer theory, Vorticity and Kelvin’s theorem

Naval Architecture and Ocean Engineering

Ship geometry & fundamentals, Stability & trim of ships, Resistance & Propulsion, Ship maneuvering and motions, Ship structure & strength, Physical Oceanography

Thermodynamics and Marine Engineering

Thermodynamics, Marine diesel engines, Marine steam turbines, Marine boilers, Engine dynamics, Marine auxiliary machinery & systems

Sections

Petroleum Exploration

Petroleum Formation Evaluation

Oil and Gas Well Drilling Technology

Oil and Gas Well Testing

Reservoir Engineering

Health Safety and Environment in Petroleum Industry

Petroleum Production Operations

Enhanced Oil Recovery Techniques

Offshore Drilling and Production Practices

Latest Trends in Petroleum Engineering

Sections

Mathematical Physics

Classical Mechanics

Electromagnetic Theory

Quantum Mechanics

Thermodynamics and Statistical Physics

Atomic and Molecular Physics

Solid State Physics

Electronics

Nuclear and Particle Physics

Section

Important Topics

General Engineering

Engineering materials, Applied Mechanics, Theory of machine and design, Thermal and fluids engineering

Manufacturing Processes I

Casting, Metal forming, Joining of metals, Powder processing, Polymers and composites

Manufacturing Processes II

Machining, Machine tools, Advance manufacturing, Computer integrated manufacturing

Quality and Reliability

Metrology and inspection, Quality management, Reliability and maintenance

Industrial Engineering

Product design and development, Work system design, and Facility design

Operations research and Operations management

Operations research, Engineering economy and costing, Production control, and Project management

Section

Calculus

Estimation

Matrix Theory

Testing of Hypotheses

Probability

Non-parametric Statistics

Standard Discrete and Continuous Univariate Distributions

Multivariate Analysis

Stochastic Processes

Regression Analysis

Section

Important Topics

Textile Fibres

Natural fibres & fibre forming polymers, Fibre architecture & molecular architecture.

Yarn Manufacture, Yarn Structure and Properties

Principle of ginning & combing, Rover machines & spinning, and Fibre geometry & fibre arrangement

Fabric Manufacture, Structure and Properties

Winding processes, Shedding mechanism, Weft knitting, Warp knitting

Textile Testing

Sampling techniques for fibres, and Moisture in textiles

Chemical Processing

Impurities in natural fibre, Classification of dyes, Mechanical finishing of cotton, and Methods of printing

Part

Sections

XE-B Fluid Mechanics

Flow and Fluid Properties, Kinematics of Fluid Motion, Differential Analysis, Integral Analysis for a Control Volume, Dimensional Analysis, Internal Flows, Bernoulli’s Equation and its Applications, Potential Flows, External Flows

XE-C Materials Science

Classification and Structure of Materials, Thermodynamics, Kinetics and Phase Transformations, Properties and Applications of Materials, Characterization and Measurements of Properties, Processing of Materials, and Degradation of Materials

XE-D Solid Mechanics

Mechanics of rigid bodies, Mechanics of deformable bodies, and Vibrations

XE-E Thermodynamics

Basic Concepts, First Law of Thermodynamics, Second Law of Thermodynamics, Properties of Pure Substances, Thermodynamic Relations, Thermodynamic Cycles, Ideal Gas Mixtures

XE-F Polymer Science and Engineering

Chemistry of High Polymers, Polymer Characterization Synthesis, Manufacturing and Properties, Polymer Blends and Composites, Polymer Technology, Polymer Processing, Polymer Testing, Polymer Recycling and Waste management

XE-G Food Technology

Food Chemistry and Nutrition, Food Microbiology, Food Products Technology, Food Engineering

XE-H Atmospheric and Oceanic Sciences

Atmospheric Science, and Ocean Sciences

Section

Important Topics

XH-B1 Reasoning and Comprehension

Macroeconomics, Microeconomics, Statistics, Econometrics and Mathematical Economics, International Economics, Public Economics, Development Economics, Indian Economy

XH-C1 Economics

Literature

XH-C2 English

Language and Linguistics, Levels of Grammar and Grammatical Analysis, Historical Linguistics

Sociolinguistics, Areal Typology, Universals, Cross-linguistic Features, Methods of Analysis, and Applied Linguistics

XH-C3 Linguistics

Language and Linguistics, Levels of Grammar and Grammatical Analysis, Historical Linguistics, Sociolinguistics, Areal Typology, Universals, Cross-linguistic Features, Methods of Analysis, and Applied Linguistics

XH-C4 Philosophy

Classical Indian Philosophy, Contemporary Indian Philosophy, Classical and Modern Western Philosophy, Contemporary Western Philosophy

XH-C5 Psychology

Research Methods and Statistics, Correlational Analysis, Psychometrics, Biological and Evolutionary Basis of Behaviour, Perception, Learning, Memory and Forgetting, Cognition: Thinking, Intelligence and Language, Motivation, Emotion and Stress and Coping, Social Psychology, Applications of Psychology

XH-C6 Sociology

Sociological Theory, Research Methodology and Methods, Sociological Concepts, Social Movements, and Sociology of Development

Section

Important Topics

XL-P Chemistry

Atomic Structure and Periodicity, Structure and Bonding, s, p and d Block Elements, Chemical Equilibria, Electrochemistry, Reaction Kinetics, Thermodynamics, Structure-Reactivity Correlations and Organic Reaction Mechanisms, Chemistry of Biomolecules

XL-Q Biochemistry

Organization of life, Enzyme kinetics, Biochemical separation techniques, Cell structure and organelles, DNA, Immune System

XL-R Botany

Plant Systematics, Plant Anatomy, Plant Development; Cell and Tissue Morphogenesis, Plant Physiology and Biochemistry, Genetics and Genomics, Plant Breeding, Genetic Modification, Genome Editing, Economic and Applied Botany, Plant Pathology, and Ecology and Environment

XL-S Microbiology

Historical Perspective, Methods in Microbiology, Microbial Taxonomy and Diversity, Prokaryotic Cells: Structure and Function, Microbial Growth, metabolism & genetics, Control of Micro-organisms, Microbial Diseases and Host-Pathogen Interaction, Chemotherapy/Antibiotics

XL-T Zoology

Animal diversity & behavior, Evolution, Genetics, Biochemistry and Molecular Biology, Cell Biology, Parasitology and Immunology, Animal Anatomy and Physiology, Development Biology

XL-U Food Technology

Food Chemistry and Nutrition, Food Microbiology, Food Products Technology, Food Engineering

Topic

Sub Topics

Linear Algebra

• Systems Of Linear Equations
• Matrix Algebra
• Eigen Values and Eigen Vectors

Calculus

• Functions Of Single Variable
• Mean Value Theorems, Local Maxima and Minima
• Partial Derivatives
• Total Derivative
• Line, Surface and Volume Integrals
• Directional Derivatives
• Evaluation Of Definite and Indefinite Integrals, Application of Definite Integral to Obtain Area and Volume
• Limit, Continuity, And Differentiability
• Gradient, Divergence and Curl, Vector Identities
• Taylor Series

Ordinary Differential Equation (ODE)

• Initial And Boundary Value Problems
• Euler-Cauchy Equations
• Higher Order Linear Equations with Constant Coefficients
• First Order (Linear and Nonlinear) Equations

Partial Differential Equation (PDE)

• Fourier Series
• Separation Of Variables
• Solutions Of One-Dimensional Diffusion Equation
• First And Second Order One-dimensional Wave Equation
• Two-Dimensional Laplace Equation

Probability And Statistics

• Linear Regression
• Sampling Theorems
• Descriptive statistics – Mean, median, mode, and standard deviation
• Random Variables – Discrete and Continuous, Poisson and Normal Distribution
• Conditional Probability

Numerical Methods

• Numerical Solutions of Linear and Non-linear Algebraic Equation
• Error Analysis
• Integration By Trapezoidal and Simpson’s Rule
• Numerical Differentiation
• Single And Multi-step Methods for First Order Differential Equations
• Newtons And Lagrange’s Polynomials

Topic

Sub Topics

Engineering Mechanics

• Free Vibrations of Undamped SDOF System
• Internal Forces in Structures
• System of forces, free-body diagrams, equilibrium equations
• Centre Of Mass
• Frictions And Their Applications

Structural Analysis

• Analysis of trusses, arches, beams, cables and frames
• Influence Lines
• Displacement Methods: Slope Deflection and Moment Distribution Methods
• Stiffness And Flexibility Methods of Structural Analysis
• Method Of Superposition
• Statically Determinate and Indeterminate Structures by Force/ Energy Methods

Solid Mechanics

• Simple Bending Theory, Flexural and Shear Stresses, Shear Centre
• Simple Stress and Strain Relationships
• Buckling Of Column, Combined and Direct Bending Stresses
• Uniform Torsion, Transformation of Stress
• Bending Moment and Shear Force in Statically Determinate Beams

Construction Materials and Management

• Construction Materials: Structural Steel – Composition, Material Properties and Behaviour
• Construction Management: Types of construction projects
• Concrete – Constituents, Mix Design, Short-Term and Long-Term Properties
• Project Planning and Network Analysis – PERT and CPM
• Cost Estimation

Steel Structure

• Connections – Simple and Eccentric, Beam-Column Connections, Plate Girders and Trusses
• Design Of Tension and Compression Members, Beams and Beam- Columns, and Column Bases
• Working Stress and Limit State Design Concepts
• Concept Of Plastic Analysis -Beams and Frames

Concrete Structures

• Bond and Development Length
• Working Stress and Limit State Design Concepts
• Prestressed Concrete Beams
• Design Of Beams, Slabs, Columns

Topic

Sub Topics

Soil Mechanics

• Principle Of Effective Stress and Quicksand Condition
• Shear Strength, Mohr’s Circle, Effective and Total Shear Strength Parameters, Stress-Strain Characteristics of Clays and Sand
• Unified and Indian Standard Soil Classification System
• Three-Phase System and Phase Relationships, Index Properties
• Compaction Of Soils
• One- Dimensional Consolidation, Time Rate of Consolidation
• Permeability – Dimensional Flow, Seepage Through Soils – Two – Dimensional Flow, Flow Nets, Uplift Pressure, Piping, Capillarity, Seepage Force
• Stress Paths

Foundation Engineering

• Deep Foundations – Dynamic and Static Formulae, Axial Load Capacity of Piles in Sands and Clays, Pile Load Test, Pile Under Lateral Loading, Pile Group Efficiency, Negative Skin Friction
• Sub-Surface Investigations – Drilling Bore Holes, Sampling, Plate Load Test, Standard Penetration and Cone Penetration Tests
• Combined Footing and Raft Foundation
• Contact Pressure
• Pressure Bulbs, Shallow Foundations – Terzaghi’s and Meyerhoff’s Bearing Capacity Theories, Effect of Water Table
• Stress Distribution in Soils – Boussinesq’s Theory
• Earth Pressure Theories – Rankine and Coulomb; Stability of Slopes – Finite and Infinite Slopes, Bishop’s Method
• Settlement Analysis in Sands and Clays

Topic

Sub Topics

Fluid Mechanics

• Concept Of Boundary Layer and Its Growth
• Continuity, Momentum and Energy Equations and Their Applications
• Flow In Pipes, Pipe Networks
• Properties Of Fluids, Fluid Statics
• Potential Flow, Laminar and Turbulent Flow
• Concept Of Lift and Drag

Hydraulics

• Dimensional analysis and hydraulic similitude
• Forces on immersed bodies
• Channel Hydraulics – Energy-depth relationships, specific energy, critical flow, hydraulic jump, uniform flow, gradually varied flow and water surface profiles
• Flow measurement in channels and pipes

Hydrology

• Application of Darcy’s Law
• Hydrologic cycle
• Precipitation
• Evaporation
• Evapotranspiration
• Watershed
• Infiltration
• Unit hydrographs
• Hydrograph analysis
• Reservoir capacity
• Flood estimation and routing
• Surface runoff models
• Groundwater hydrology
• Steady-state well hydraulics
• Aquifers

Irrigation

• Types Of Irrigation Systems and Methods
• Lined And Unlined Canals, Design of Weirs on Permeable Foundation
• Crop Water Requirements – Duty, Delta, Evapotranspiration
• Cross Drainage Structures
• Gravity Dams and Spillways

Topic

Sub Topics

Water And Waste-water Quality and Treatment

• Unit Processes and Operations
• Water Requirement
• Effluent Discharge Standards
• Sludge Disposal
• Reuse Of Treated Sewage for Different Applications
• Water Distribution System
• Basics of water quality standards – Physical, chemical and biological parameters
• Water Quality Index
• Drinking Water Treatment
• Sewerage System Design, Quantity of Domestic Wastewater, Primary Treatment and Secondary Treatment

Municipal Solid Wastes

• Engineered Systems for Solid Waste Management (Reuse/ Recycle, Energy Recovery, Treatment and Disposal)
• Characteristics, Generation, Collection and Transportation of Solid Wastes

Air Pollution

• Types Of Pollutants, Their Sources and Impacts
• Air Quality Index and Limits
• Air Quality Standards
• Air Pollution Control

Section

Important Topics

Transportation Infrastructure

• Geometric Design of Railway Track – Speed and Cant
• Geometric Design of Highways – Cross-Sectional Elements, Sight Distances, Horizontal and Vertical Alignments
• Taxiway and Exit Taxiway Design
• Concept Of Airport Runway Length, Calculations and Corrections

Highway Pavements

• Design Factors for Flexible and Rigid Pavements
• Desirable Properties of Bituminous Paving Mixes
• Highway Materials – Desirable Properties and Tests
• Design Of Flexible and Rigid Pavement Using IRC Codes

Traffic Engineering

• Highway Capacity
• Traffic Signs
• Types Of Intersections
• Microscopic And Macroscopic Parameters of Traffic Flow, Fundamental Relationships
• Signal Design by Webster’s Method
• Traffic Studies on Flow and Speed
• Peak Hour Factor
• Accident Study
• Statistical Analysis of Traffic Data

Section

Important Topics

Engineering Mathematics and Basic Geomatics

Engineering Mathematics: Measurement, accuracy, precision & errors, Remote sensing: EM spectrum, remote sensing products, GIS: Algorithms, data patterns, databases, spatial analysis

Surveying and Mapping

Mapping, Land Surveying, Aerial photogrammetry

Image Processing and Analysis

Data Quantization and Processing, Digital image processing, Radiometric and Geometric connections, Image enhancement, Image transformation, Image Segmentation and Classification

Topics

Sub Topics

Discrete Mathematics

Sets, Functions, Partial Orders and Latices, Groups, Relations, Monoids, Graphs, Combinatorics, general functions

Linear Algebra

Matrices, System of linear equations, eigenvectors, and eigenvalues

Calculus

Maxima and Minima, Mean value theorem, limits and continuity, differentiability

Probability and Statistics

Uniform, normal, Poisson and binomial distribution, Mean, median, standard deviation, mode, and Conditional Probability and Bayes theorem

Topics

Sub Topics

Digital Logic

Boolean algebra, Number Representation, Combinational and sequential circuits, Minimization

Computer Organization and Architecture

Machine instructions and addressing modes, ALU, Instruction Pipelining, Pipeline hazards, Memory hierarchy, Data path and control unit , and I/O interface

Programming and Data Structures

Recursion, Arrays, Queues, Trees, Binary search trees, Graphs

Algorithms

Searching, Hashing, Algorithms, Space complexity, Algorithm Design, Asymptotic worst-case time, Graph traversals, Minimum spanning trees, Dynamic programming and divide and conquer, and Shortest paths

Theory of Computation

Context-free grammars, Regular expressions, Finite Automata, Turing machines and undecidability, Push down automata, and Pumping lemma

Compiler Design

Runtime environments, Parsing, Syntax-directed translation, Intermediate code generation, Data flow analysis, Liveness analysis, Common subexpression elimination, Local optimisation. Lexical analysis

Operating System

Processes, Threads, Inter-process communication, Concurrency and synchronization, Deadlock, CPU and I/O scheduling, and File system

Database

Relational Algebra, Tuple calculus, Relational model, SQL, Integrity constraints normal forms, and Transactions and concurrency control

Computer Networks

Basics of packet, Circuit and virtual circuit switching, Framing, Error detection, Ethernet bridging, Data link layer, Medium access control, Routing protocols (shortest path, flooding, distance vector and link state routing), Application layer protocols, Transport layer, Basics of IP support protocols, CIDR notations, Fragmentation and IP addressing, Address Translation

Topic

Sub Topics

Linear Algebra

• Basis
• Vector Space
• Matrix Algebra
• Linear Dependence And Independence
• Rank
• Eigenvalues And Eigenvectors
• Solution Of Linear Equations- Existence And Uniqueness

Calculus

• Partial Derivatives
• Theorems Of Integral Calculus
• Mean Value Theorems
• Evaluation Of Definite And Improper Integrals
• Line, Surface And Volume Integrals
• Maxima And Minima
• Multiple Integrals
• Taylor Series

Differential Equation

• Higher-Order Linear Differential Equations
• First-Order Equations (Linear And Nonlinear)
• Cauchy’s And Euler’s Equations
• Variable Separable Method
• Complementary Function And Particular Integral
• Methods Of Solution Using Variation Of Parameters
• Partial Differential Equations
• Initial And Boundary Value Problems

Vector Analysis

• Divergence And Curl
• Vector Operations
• Vectors In Plane And Space
• Gradient
• Green’s And Stokes’ Theorems
• Gauss’s Theorem
• Complex Analysis
• Series
• Cauchy’s Integral Theorem
• Analytic Functions
• Cauchy’s Integral Formula
• Sequences
• Taylor And Laurent Series
• Convergence Tests
• Residue Theorem

Probability and Statistics

• Median, Mean, Mode, Standard Deviation
• Probability Distributions
• Combinatorial Probability
• Poisson Distribution
• Binomial Distribution
• Normal Distribution
• Exponential Distribution
• Joint And Conditional Probability

Topic

Sub Topics

Circuit Analysis

• Thevenin’s Theorem
• Node and Mesh Analysis
• Circuit Analysis
• Superposition
• Reciprocity
• Norton’s Theorem
• Sinusoidal steady-state analysis: Complex Power, Maximum Power Transfer
• Time and frequency domain analysis of linear circuits: RL, RC And RLC Circuits, Solution Of Network Equations Using Laplace Transform
• Linear 2-port network parameters, wye-delta transformation

Continuous-time signals

• Sampling Theorem And Applications
• Fourier Series And Fourier Transform

Discrete-time signals

• DTFT, DFT, z-transform, discrete-time processing of continuous-time signals
• LTI systems: Definition And Properties, Stability, Causality, Impulse Response, Convolution, Poles And Zeroes, Group Delay, Frequency Response, Phase Delay

Topic

Sub Topics

Semiconductor

• Energy bands in intrinsic and extrinsic semiconductors
• Equilibrium carrier concentration
• Direct and indirect band-gap semiconductors

Carrier Transport

• Diffusion current, drift current,
• Mobility and resistivity, generation and recombination of carriers
• Poisson and continuity equations.

Conjunction

• P-N junction
• Zener diode, BJT, MOS capacitor, MOSFET, LED, photodiode and solar cell.

All Topics

Drift Current

Diffusion Current

Zener Diode

Mobility and Resistivity

Poisson And Continuity Equations

Generation And Recombination Of Carriers

P-N Junction

BJT, MOS Capacitor

Photo Diode And Solar Cell

LED

MOSFET

Topic

Sub Topics

Diode circuit

Clamping, Clipping, and Rectifiers

BJT and MOSFET amplifiers

• AC Coupling
• Biasing
• Small-Signal Analysis
• Current Mirrors and Differential Amplifiers
• Frequency Response

Op-amp circuits

• Integrators
• Summers
• Amplifiers
• Differentiators
• Schmitt Triggers and Oscillators
• Active Filters

Topic

Sub Topics

Number representations

• Binary, integer and floating-point- numbers
• Combinatorial circuits

Sequential circuits

• Finite State Machines
• Counters
• Latches And Flip-Flops
• Shift-Registers
• Setup And Hold Time
• Propagation Delay
• Critical Path Delay

Data converters

• Sample and Hold Circuits
• ADCs & DACs

Semiconductor memories

• SRAM
• ROM
• DRAM

Computer organization

• Machine Instructions and Addressing Modes
• Data-Path And Control Unit
• ALU
• Instruction Pipelining

All Topics

Feedback Principle

Block Diagram Representation

Transfer Function

Transient and Steady-State Analysis Of LTI Systems

Signal Flow Graph

Basic Control System Components

State Variable Model and Solution Of State Equation Of LTI Systems

Routh-Hurwitz And Nyquist Stability Criteria

Bode and Root-Locus Plots

Lag, Lead And Lag Lead Compensation

Block Diagram Representation

Frequency Response

Topic

Sub Topics

Random processes

• Properties of White Noise
• Autocorrelation and Power Spectral Density
• Filtering of Random Signals Through LTI Systems

Analog communications

• Super heterodyne Receivers
• Angle Modulation and Demodulation
• Amplitude Modulation and Demodulation
• Spectra of AM and FM

Information theory

• Mutual Information and Channel Capacity Theorem
• Entropy

Digital communications

• DPCM
• PCM
• Digital Modulation Schemes (ASK, PSK, FSK, QAM)
• Inter-Symbol Interference
• Bandwidth
• MAP
• Matched Filter Receiver
• ML Detection
• Hamming Codes
• Fundamentals Of Error Correction
• SNR and BER
• CRC

Topic

Sub Topics

Maxwell’s Equation

• Poynting Vector
• Boundary Conditions
• Differential and Integral Forms And Their Interpretation
• Maxwell’s equations
• Wave Equation

Plane waves and properties

• Propagation Through Various Media
• Polarization
• Reflection And Refraction
• Phase And Group Velocity
• Skin Depth

Transmission lines

• Characteristic Impedance
• Equations
• Impedance Matching
• S-Parameters
• Impedance Transformation
• Smith Chart
• Linear Antenna Arrays
• Light Propagation in Optical Fibers
• Rectangular and Circular Waveguides
• Dipole and Monopole Antennas

Topic

Sub Topic

Linear Algebra

Eigenvectors, Systems of linear equations, Matrix Algebra, Eigenvalues

Calculus

Line Integral Volume Integral, Stokes’s Theorem, Divergence Theorem, Gauss’s Theorem, Green’s Theorem, Theorems of Integral Calculus, Mean Value Theorems, Evaluation Of Definite And Improper Integrals, Maxima And Minima, Partial Derivatives, Multiple Integrals, Vector Identities, Fourier Series, Directional Derivatives, Surface Integral

Differential equations

Partial Differential Equations, Initial And Boundary Value Problems, Euler’s Equation, Method Of Separation Of Variables, Cauchy’s Equation, Higher-Order Linear Differential Equations With Constant Coefficients, First-Order Equations (Linear And Nonlinear), Method Of Variation Of Parameters

Complex variables

Cauchy’s Integral Formula, Laurent Series, Taylor Series, Residue Theorem, Solution Integrals, Cauchy’s Integral Theorem, Analytic Functions

Probability and Statistics

Poisson Distribution, Binomial Distribution, Normal Distribution, Correlation Analysis, Regression Analysis, Conditional Probability, Sampling Theorems, Mean, Mode, Median, Standard Deviation, Discrete and Continuous distributions, and Random Variables

All Topics

Dependent Sources, R, L, C, M Elements

Ideal Voltage And Current Sources

Network solution methods: KVL, KCL, Node And Mesh Analysis

Network Theorems: (Thevenin’s, Norton’s, Superposition and Maximum Power Transfer Theorem)

Resonance

Transient Response of dc & ac networks

Sinusoidal Steady-State Analysis

Balanced Three-Phase Circuits

Two-port network

Complex Power And Power Factor in ac circuits

Star-Delta Transformation

All Topics

Electric Field Intensity

Coulomb’s Law

Divergence

Electric Flux Density

Gauss’s Law

Electric field and potential due to point, line, plane and spherical charge distributions

Biot-Savart’s Law

Effect Of Dielectric Medium

Capacitance Of Simple Configurations

Ampere’s Law

Curl

Self and Mutual Inductance of Simple Configurations

Lorentz Force

Inductance

Faraday’s law

Magnetomotive Force

Magnetic Circuits

Reluctance

All Topics

Average Value Calculation for any General Periodic Waveform

Representation of Continuous and Discrete-Time Signals

Shifting and Scaling Properties

Linear Time-Invariant and Causal Systems

RMS Value

Laplace Transform and Z Transform

Sampling theorem

Fourier Series Representation of Continuous and Discrete-Time Periodic Signals

Applications of Fourier Transform for Continuous and Discrete-Time Signals

All Topics

Models And Performance Of Transmission Lines And Cables

AC And DC Transmission Concepts

Basic Concepts Of Electrical Power Generation

Economic Load Dispatch

Electric Field Distribution And Insulators

Series And Shunt Compensation

Distribution Systems

Bus Admittance Matrix

Per-Unit Quantities

Power Factor Correction

Gauss-Seidel And Newton-Raphson Load Flow Methods

Symmetrical Components

Voltage And Frequency Control

Circuit Breakers

Equal Area Criterion

System stability concepts

Symmetrical and Unsymmetrical Fault Analysis

All Topics

Feedback Principle

Transfer Function

Transient And Steady-State Analysis Of Linear Time-Invariant Systems

Mathematical Modelling And Representation Of Systems

Block Diagrams And Signal Flow Graphs

Stability Analysis Using Routh-Hurwitz And Nyquist Criteria

Root loci

Bode Plots

Lag, Lead And Lead-Lag Compensators

Solution Of State Equations Of LTI Systems

P, PI And PID Controllers

State-Space Model

All Topics

Instrument Transformers

Oscilloscopes, Error Analysis

Measurement Of Voltage, Current, Power, Energy And Power Factor

Bridges And Potentiometers

Phase, Time and Frequency measurement

Digital Voltmeters And Multimeters

Time And Frequency Measurement

All Topics

Simple diode circuits: Clamping, Clipping, Rectifiers

Amplifiers: Biasing, Equivalent Circuit And Frequency Response Oscillators And Feedback Amplifiers

Operational amplifiers: Characteristics and applications; single-stage active filters

Active Filters

Multiplexers

De-multiplexers

Schmitt trigger

A/D and D/A converters

VCOs and timers

Combinational and sequential logic circuits

Sample and hold circuits

All Topics

Buck, Boost And Buck-Boost Converters

Single and Three-Phase Configuration Of Uncontrolled Rectifiers

Static V-I characteristics and firing/gating circuits for Thyristor

MOSFET, IGBT; DC to DC conversion

Bidirectional AC to DC voltage Source Converters

Voltage And Current Commutated Thyristor Converters

Magnitude And Phase Of Line Current Harmonics For Uncontrolled and Thyristor-Based Converters

Single-Phase And Three-Phase Voltage And Current Source Inverters

Power Factor And Distortion Factor of AC to DC Converters

Sinusoidal Pulse Width Modulation

Topics

Sub Topics

Linear Algebra

• Systems of linear equations
• Matrix algebra
• Eigenvalues and eigenvectors

Calculus

• Functions of a single variable
• Limit, continuity and differentiability
• Indeterminate forms
• Mean value theorems
• Evaluation of definite and improper integrals
• Total & partial derivatives
• Double and triple integrals
• Fourier series & Taylor series (in 1 & 2 variables)
• Maxima and minima
• Gradient, divergence and curl
• Directional derivatives & vector identities
• Line, surface and volume integrals
• Applications of Gauss theorem, stokes, and Green’s theorems

Differential Equation

• First-order equations (linear and nonlinear)
• Higher-order linear differential equations with constant coefficients
• Euler-Cauchy equation
• Initial and boundary value problems
• Laplace transforms
• Solutions of heat, wave and Laplace's equations

Complex Variables

• Analytic functions
• Taylor and Laurent series
• Cauchy-Riemann equations
• Cauchy’s integral theorem and integral formula

Probability and Statistics

• Sampling theorems, conditional probability
• Median, mean, mode, and random variables
• Binomial theorem
• Poisson and normal distributions

Numerical Methods

• Numerical solutions of linear and non-linear algebraic equations
• Integration by trapezoidal and Simpson's rules
• Single and multi-step methods for differential equations

Topics

Sub Topics

Engineering Mechanics

• Free-body diagrams and equilibrium
• Friction and its applications including rolling friction, screw, jack, brakes, belt-pulley, clutches, vehicles.
• Kinematics and dynamics of rigid bodies in plane motion
• Virtual work and energy formulations
• Impulse and momentum (linear and angular) LaGrange's equation

Mechanics of materials

• Elasticity concepts: stress and strain, elastic constants, Poisson's ratio, bending and shear stresses, shear force and bending moment diagrams
• Mohr’s circle for plane stress and plane strain
• Concept of shear centre
• Deflection of beams
• Euler’s theory of columns
• Torsion of circular shafts
• Energy methods & thermal stresses
• Testing of materials with a universal testing machine
• Strain gauges and rosettes
• Testing of hardness and impact strength

Theory of machines

• Velocity and acceleration analysis of plane mechanisms
• Dynamic analysis of linkages
• Gears and gear trains
• Flywheels and governors
• Gyroscope
• Balancing of reciprocating and rotating masses

Vibrations

• Free and forced vibration of single degree of freedom systems
• Resonance
• Effect of damping
• Vibration isolation
• Critical speeds of shafts

Machine designs

• Design for static and dynamic loading
• Principles of the design of machine elements bolted, riveted and welded joints
• Fatigue strength and the S-N diagram
• Gears, shafts, brakes and clutches
• Rolling and sliding contact bearings
• Springs

Topics

Sub Topics

Fluid mechanics

• Fluid statics
• Fluid properties
• Stability of floating bodies
• Forces on submerged bodies
• Control-volume analysis of mass, momentum and energy
• Differential equations of continuity and momentum
• Fluid acceleration
• Bernoulli’s equation
• Dimensional analysis
• Viscous flow of incompressible fluids
• Flow through pipes
• Elementary turbulent flow
• Head losses in pipes, bends and fittings
• Basics of compressible fluid flow

Heat transfer

• Modes of heat transfer
• Heat transfer through fins
• Resistance concept and electrical analogy,
• Lumped parameter system
• Unsteady heat conduction
• Thermal boundary layer
• Heisler’s charts
• Heat transfer correlations for flow over flat plates and through pipes
• Dimensionless parameters in free and forced convective heat exchanger performance
• Effect of turbulence
• Radiative heat transfer
• LMTD and NTU methods
• Wien’s displacement law
• Stefan- Boltzmann law
• Black and grey surfaces
• Radiation network analysis

Thermodynamics

• Thermodynamic systems and processes
• Properties of pure substances
• Behaviour of ideal and real gases
• Zeroth and first laws of thermodynamics
• Second law of thermodynamics
• Availability and irreversibility
• Thermodynamic property charts and tables
• Calculation of work and heat in various processes
• Thermodynamic relations

Applications

• Power engineering: air and gas compressors, vapor and gas power cycles, concepts of regeneration and reheat
• I.C. Engines: diesel and dual cycles, air-standard Otto, diesel and dual cycles.
• Refrigeration and air-conditioning: basic psychrometric processes, properties of moist air, vapor and gas refrigeration and heat pump cycles, psychrometric chart
• Turbomachinery: impulse and reaction principles, velocity diagrams, Pelton-wheel, Francis and Kaplan turbines; steam and gas turbines

Topics

Sub Topics

Engineering Materials

• Stress-strain diagrams for engineering materials
• Phase diagrams
• Structure and properties of engineering materials
• Heat treatment

Machining and Machine Tool Operations

• Basic machine tools
• Mechanics of machining
• Single and multi-point cutting tools
• Tool life and wear
• Tool geometry and materials
• Economics of machining
• Principles of work holding, jigs and fixtures
• Principles of non-traditional machining processes
• Abrasive machining processes
• NC/CNC machines and CNC programming

Casting, Forming and Joining Processes

• Solidification and cooling
• Riser and gating design
• Design of patterns, molds and cores
• Different types of castings
• Fundamentals of hot and cold working processes
• Plastic deformation and yield criteria
• Principles of powder metallurgy
• Load estimation for bulk (forging, extrusion, rolling, drawing) and sheet (shearing, deep drawing, bending) metal forming processes
• Principles of welding, soldering, brazing, and adhesive bonding

Metrology and Inspection

• Interferometry
• Linear and angular measurements
• Limits, fits and tolerances
• Comparators
• Alignment and testing methods
• Form and finish measurement
• Concepts of coordinate-measuring machine (CMM)
• Tolerance analysis in manufacturing and assembly

Computer Integrated Manufacturing

• Additive manufacturing
• Basic concepts of CAD/CAM and their integration tools

Production Planning and Control

• Materials requirement planning
• Aggregate production planning
• Forecasting models
• Scheduling
• Lean manufacturing

Inventory Control

• Safety stock inventory control systems
• Deterministic models

Operations Research

• Simplex method
• Linear programming
• Transportation
• Assignment
• Simple queuing models
• Network flow models
• PERT and CPM

GATE Topics

Name of Recommended Books and Author

Engineering Mathematics

• Advanced Engineering Mathematics by Erwin Kreyszig
• Discrete Mathematics and Its Applications by Kenneth Rosen

Theory of Computation

An Introduction to Formal Languages and Automata by Peter Linz

Computer Organization & Architecture

• Computer Architecture – A Quantitative Approach by Hennessy and Patterson
• Computer Organization and Embedded systems by Carl Hamacher

Programming & Data Structures

• Classic Data Structures by Debasis Samanta
• The C Programming language by Dennis Richie

Digital Logic

• Digital Electronics by S. Salivahanan & S. Arivazhagan
• Digital Design by Morris Mano

Computer Networks

• Computer Networks by Peterson & Davie
• Data Communications and Networking by Kurose & Ross and Behrouz A. Forouzan

Algorithms

• Introduction to Algorithms by Cormen
• Data Structures & Algorithms by R.S. Salaria

Compiler Design

• Compiler Design in C by Allen I Holub
• Compilers: Principles, Techniques and Tools by Aho & Ullman

Operating System

• Operating Systems by Stallings
• Operating System Concepts by Galvin

Databases

• Database System Concepts by Henry. F. Korth
• Normalization and indexing by Shamkant B. Navathe

GATE Topics

Name of Recommended Books and Authors

Engineering Mathematics

Advanced Engineering Mathematics by E.Kreyszig

Networks

Engineering Circuit Analysis by Hayt & Kemmerly

Signal and systems

• Signals and Systems by Oppenheim & Wilsky
• Signals and Systems by Nagoor Kani

Electrical Machine

Electrical Machinery by P.S.Bimbhra

Control system

Control Systems Engineering by Nagrath & Gopal

Measurement

Electrical and Electronic Measurement & Instrumentation by AK Sawhney

Circuit analysis

Transient Analysis Of Electric Power Circuits by Arieh L Shenkmann and also Chakrabarthi

Analog

Electronic Devices and Circuit Theory by Boylestad

Digital Circuits

Digital Design by M.Morris Mano

Electro Magnetics

• Elements of Electromagnetics by Mathew N. O. Sadiku
• Engineering Electromagnetics by William .H.Hayt

Power Electronics

• For Beginners - Power Electronics by MH Rashid
• Power Electronics by P.S.Bimbhra

Power system

• Power Systems Engineering by Nagrath & Kothari
• Power Systems by JB Gupta & CL Wadhwa

GATE 2026 Topics

Name of Recommended Books and Authors

Design of Machine Elements

Machine design - V.B. Bhandari

Engineering Mechanics

• Engineering Mechanics by Bhavikatti
• Engineering Mechanics by R K Rajput
• Engineering Mechanics by Beer and Johnston

Fluid Mechanics

• Fluid Mechanics by R K Bansal
• Fluid & Hydraulics - Modi and Seth

Heat Transfer

• Heat Transfer by Cengel and Holman
• Heat and Mass Transfer by J P Hollman and R C Sachdeva

Strength of Materials

Strength of Materials by Gere and Timoshenko, B C Unamia, Sadhu Singh, Ramamrutham

Industrial Engineering

Industrial Engineering by O P Khanna, Buffa and Sarin

Manufacturing Engineering

Production Technology: Manufacturing Processes, Technology and Automation by R.K. Jain

Strength of Materials

Strength of Materials - Gere & Timoshenko

Theory of Machines

Theory of Machines by Ratan

Thermal Science

Engineering Thermodynamics by P.K. Nag

Thermodynamics

• Engineering Thermodynamics by P K Nag and Rajput
• Thermodynamics by Cengel.

Vibrations

Mechanical Vibration by Grover

GATE Books

Name of Recommended Authors

General Aptitude

• Quantitative Aptitude by CAT by Arun Sharma,
• Quantitative Aptitude by R.S Agarwal

Control System

• Control Systems by Nagarath and Gopal
• Control Systems Engineering by Norma Nise

Network

• Network Theory by Alexander Sadiku
• Network Analysis by Van Valkenburg
• Circuit Theory by A. Chakraborty

Electronic Devices

• Electronic Devices and Circuits by Millman & Halkias,
• Semiconductor Physics And Devices by Donald A. Neamen,
• Solid state electronic devices by Ben G. Streetman and Sanjay Banerjee

Signal Systems

• Digital Signal Processing by S.K Mitra,
• Modern digital and analog Communications system by BP Lathi,
• Signals & Systems By Alan V. Oppenheim

Analog Circuits

• Analog Electronics, Electronics devices and circuits – Donald A Neaman,
• Microelectronics Circuits by Sedra & Smith,
• Electronic Devices and Circuit Theory by Robert L Boylestad & Nashelsky,
• Pulse and Digital Electronics by Millman and Taub

Communication System

• Analog and Digital Communication System by Simon Haykin,
• Principle of Communication System by Taub & Schillings,
• Modern digital and Analog Communications system by BP Lathi,
• Electronic Communication Systems by Kennedy and Davis (just the Noise chapter)

Digital System

• Digital Logic and Computer Design by M.Morris Mano,
• Digital circuits and design by Salivahanan
• Fundamentals of digital systems by Anandkumar,
• Digital Electronic Principles and applications by Ronald J. Toccii, Pearson Publications

Electromagnetics

• Elements of Electromagnetics by Matthew N.O. Sadiku
• Network lines and fields by J.D ryder (Transmission lines part)
• Electromagnetic waves and Radiating Systems by Jordon and ballmain
• Antenna Theory by Balanis

GATE Topics

Name of Recommended Authors

Theory of Structure

CK Wang, S. Rammamrutham, L.S. Negi & Jangit

Theory of Elasticity

Timoshenko & Gere

Theory of Structure

Wilbur & Norris

Strength of Materials/Mechanics of Structure

• Gare & Timoshenko,
• E. Popove, L. Singer,
• B.C. Punamia, Rammamrutham

Soil Mechanics

• Gopal Ranjan & Rao, Venkat Ramaiha, S. K. Garg,
• B.C. Punamia, V N S Murthy

Steel Design

Kazimi Zindal to improve concepts; for numerals L.S. Negi and for other topics – S.K. Duggal

Reinforced Concrete Structures Design (RCC)

Krishna Raju, PC Verghese, Pillai & Menon

Railway Engineering

Subhash And Satyapal

Pre-stressed Concrete

Krishna Raju

Reinforced Concrete

Ashok K Jain

Water Resources

S K Garg

Transportation

Justo Khanna

Geo-tech Engineering

Gopal Ranjan and Rao, R.F. Craig

Environmental Engg

SK Garg (1&2), Peavy-Rowe

Highway Engineering

Khanna

CPM-PERT/ Construction Tech

BC Punmia, Peurifoy

Fluid Mechanics & Machines

RK Bansal, Modi & Seth

Highway/ Pavement & Traffic

Khanna & Justo, Kadiyali

Railway & Airport

Saxena & Arora

Surveying

KR Arora; BC Punmia

Build materials

ML Gambhir; BC Punmia; MS Shetty

Irrigation

SK Garg

GATE Topics

Name of Recommended Books and Author

Mathematics

Advanced Engineering Mathematics by Erwin Kreyszig

Network Theory

Engineering Circuit Analysis by Steven M. Durbin, Jack E. Kemmerly , William H. Hayt

Transducers

Introduction to Measurements and Instrumentation by Arun K Ghosh

Signals and Systems

Signals And Systems (Schaum’s Outline Series) by H P HSU Signals & Systems by Alan V. Oppenheim

Communication Systems

Modern Digital and Analog Communication System by B P Lathi

Electrical and Electronic Measurements

A Course In Electrical And Electronic Measurements And Instrumentation by A K Sawhney

Analog Electronics

• Fundamentals of Microelectronics by Behzad Razavi
• GATE - Electronics & Communication by R K Kanodia

Control System

Automatic Control Systems by B C Kuo

Process Control

Process Control: Modeling, Design, And Simulation by B. Wayne Bequette