GATE 2025 Syllabus PDF (OUT): Download subject wise Syllabus for CSE, ECE, EEE, ME, CE & other papers

February 1, 2025 (Saturday)

9:30 am to 12:30 pm (forenoon session)

CS1 | AG | MA

2:30 pm to 5:30 pm (afternoon session)

CS2 | NM | MT | TF | IN

February 2, 2025 (Sunday)

9:30 am to 12:30 pm (forenoon session)

ME | PE | AR

2:30 pm to 5:30 pm (afternoon session)

EE

February 15, 2025 (Saturday)

9:30 am to 12:30 pm (forenoon session)

CY | AE | DA | ES | PI

2:30 pm to 5:30 pm (afternoon session)

EC | GE | XH | BM | EY

February 16, 2025 (Sunday)

9:30 am to 12:30 pm (forenoon session)

CE1 | GG | CH | PH | BT

2:30 pm to 5:30 pm (afternoon session)

CE2 | ST | XE | XL | MN

Aerospace Engineering (AE)

Instrumentation Engineering (IN)

Download Here

Agricultural Engineering ( AG)

Download Here

Mathematics (MA)

Download Here

Architecture and Planning (AR)

Download Here

Mechanical Engineering (ME)

Download Here

Biomedical Engineering (BM)

Download Here

Mining Engineering (MN)

Download Here

Biotechnology (BT)

Download Here

Metallurgical Engineering (MT)

Download Here

Civil Engineering (CE)

Download Here

Naval Architecture and Marine Engineering (New Paper) (NM)

Download Here

Chemical Engineering (CH)

Download Here

Petroleum Engineering (PE)

Download Here

Computer Science and Information Technology  (CS)

Download Here

Physics (PH)

Download Here

Chemistry (CY)

Download Here

Production and Industrial Engineering (PI)

Download Here

Electronics and Communication Engineering (EC)

Statistics (ST)

Download Here

Electrical Engineering (EE)

Textile Engineering and Fibre Science (TF)

Download Here

Environmental Science & Engineering (ES)

Download Here

Engineering Sciences (XE)

Download Here

Ecology and Evolution (EY)

Download Here

Humanities & Social Sciences (XH)

Download Here

Geomatics Engineering (New Paper) (GE)

Download Here

Life Sciences (XL)

Download Here

Geology and Geophysics (GG)

Download Here

Data Science and Artificial Intelligence (New)

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 

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

Linear Algebra 

• Matrices and determinants 
• Caley 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 

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 

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 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 

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 

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 

Structural Engineering 

• Solid mechanics 
• Structural analysis 
• Construction materials and management 
• Concrete & steel structures 

Geotechnical Engineering 

• Soil mechanics 
• Foundation engineering 

Water Resources Engineering 

• Fluid mechanics 
• Hydraulics & Hydrology 
• Irrigation 

Environmental Engineering 

• Municipal solid wastes  
• Air pollution 
• Water quality and treatment 

Transportation Engineering 

• Transportation infrastructure 
• Highway pavements 
• Traffic engineering 

Geomatics Engineering 

• Principles of surveying 
• Photogrammetry and remote sensing 

Process Calculations and Thermodynamics 

• Thermodynamics 
• Equation of state 
• 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...) 

Chemical Reaction Engineering 

• Theories of reaction rates 
• Catalyst & reactors 

Instrumentation and Process Control 

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

Plant Design and Economics 

• Principles of process economics 
• Cash flow & ROI 

Chemical Technology 

• Inorganic chemical industries 
• Petroleum refining and petrochemicals 

Digital Logic 

• Boolean algebra 
• Circuits 

Computer Organization and Architecture 

• ALU 
•  I/O interface 
• Memory hierarchy 

Theory of Computation 

• Automata 
• Regular expressions 
• Turing machines 

Operating System 

• System calls, processes, threads
• CPU and I/O scheduling 

Computer Networks 

• Concept of layering: OSI and TCP/IP Protocol 
• Application layer protocols: DNS, SMTP, HTTP, FTP, Email 
• Routing protocols and IP addressing 

Programming and Data Structures 

• Programming in C. 

Algorithms 

• Searching, sorting, hashing 
• Graph traversals 

Compiler Design 

• Analysis: Lexical & Liveness 
• Runtime environments 
• Intermediate code generation 

Databases 

• ER-model, tuple calculus, SQL 
• Transactions and concurrency control 

Physical Chemistry 

• Atomic structure 
• Group theory 
• Spectroscopy 
• Equilibrium states 
• Kinetics 
• Surface chemistry 

Inorganic Chemistry 

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

Organic Chemistry 

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

Probability and Statistics 

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

Linear Algebra 

• Vectors 
• Gaussian elimination 
• Decomposition 

Calculus and Optimization 

• Limit, continuity and differentiability 
• Maxima and minima 

Programming, Data Structures and Algorithms 

• Programming 
• Search algorithms 
• Graph theory 

Database Management and Warehousing 

• ER & Relational model 
• Data types & transformation 

Machine Learning 

• Supervised Learning 
• Unsupervised Learning 

Artificial Intelligence 

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

Networks, Signals and Systems 

• Circuit Analysis & RLC circuits 
• Time Signals: Continuous & Discrete 

Electronic Devices 

• Semiconductors 
• P/N Carrier Transport 

Analog Circuits 

• Diode Circuits 
• BJT and MOSFET Amplifiers 
• Op-amp Circuits 

Digital Circuits 

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

Control Systems 

• Feedback principle 
• Routh-Hurwitz and Nyquist stability criteria 
• LTI systems 

Communications 

• Random Processes 
• Analog Communications 
• Digital Communications 

Electromagnetics 

• Maxwell's Equations 
• Plane Waves [EMW] 
• Transmission Lines 

Electric circuits 

• Network Elements 
• Network solution methods 
• Balanced three-phase circuits 

Electromagnetic Fields 

• Electrostatics 
• Current electricity 
• Electromagnetic effects 

Signals and Systems 

• Continuous and discrete time signals 
• Laplace and Fourier transforms 

Electrical Machines 

• Transformers 
• Induction machines 

Power Systems 

• AC and DC transmission 
• Bus admittance matrix 
• Power factor correction 
• System stability concepts 

Control Systems 

• Stability analysis 
• LTI systems 

Electrical and Electronic Measurements 

• Measurement of voltage, current, power, energy and power factor 

Analog and Digital Electronics 

• Simple diode circuits 
• Operational amplifiers 
• Sequential logic circuits 

Power Electronics 

• Buck-Boost Converters 
• Thyristor based converters 
• AC to DC converter 

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 
• Management of biomedical waste, plastic waste and E-waste 

Global and Regional Environmental Issues 

• Global warming 
• Environmental degradation 

Environmental Management and Sustainable Development 

• Environmental Impact Assessment 
• Energy-Environment nexus 
• Sustainable development goals 

Ecology 

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

Evolution 

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

Mathematics and Quantitative Ecology 

• Permutations and combinations 
• Descriptive statistics 
• Test statistics 

Behavioural Ecology 

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

Applied Ecology & Evolution 

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

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 

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 

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  

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 
• 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 
• Urysohn’s lemma  

Applied mechanics 

• Engineering Mechanics 
• Mechanics of material 
• Theory of Mechanics 
• Vibrations 
• Machine designs 

Fluid mechanics & Thermal sciences 

• Fluid mechanics 
• Heat transfer 
• Thermodynamics 
• Applications 

Material, Manufacturing and Industrial Engineering 

• Engineering materials 
• Casting, farming & Joining processes 
• Machining & machine tool operations 
• Metrology and inspection 
• Computer integrated manufacturing 
• Production planning & control 
• Inventory control 
• Operations research 

Mining Geology, Mine Development and Surveying 

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

Geomechanics and Ground Control 

• Engineering Mechanics 
• Geomechanics 
• 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 

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 

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 

Mathematical Physics 

Classical Mechanics 

Electromagnetic Theory 

Quantum Mechanics 

Thermodynamics and Statistical Physics 

Atomic and Molecular Physics 

Solid State Physics 

Electronics 

Nuclear and Particle Physics 

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 
• Facility design 

Operations research and Operations management 

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

Calculus 

Estimation 

Matrix Theory 

Testing of Hypotheses 

Probability 

Non-parametric Statistics 

Standard Discrete and Continuous Univariate Distributions 

Multivariate Analysis 

Stochastic Processes 

Regression Analysis 

Textile Fibres 

Natural fibres & fibre forming polymers 

Fibre architecture & molecular architecture. 

Yarn Manufacture, Yarn Structure and Properties 

• Principle of ginning & combing... 
• Rover machines & spinning... 
• Fibre geometry & fibre arrangement 

Fabric Manufacture, Structure and Properties 

• Winding processes 
• Shedding mechanism 
• Weft knitting 
• Warp knitting 

Textile Testing 

• Sampling techniques for fibres 
• Moisture in textiles 

Chemical Processing 

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

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 
• Degradation of Materials 

XE-D Solid Mechanics 

• Mechanics of rigid bodies 
• Mechanics of deformable bodies 
• 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 
• Ocean Sciences 

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 
• 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 
• 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 
• Sociology of Development 

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 
• 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 

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 

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 

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 

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 

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. 
• Conditional Probability and Bayes theorem 

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 
• 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 
• Shortest paths 

Theory of Computation 

• Context-free grammars 
• Regular expressions 
• Finite Automata 
• Turing machines and undecidability 
• Push down automata 
• 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 
• File system 

Database 

• Relational Algebra 
• Tuple calculus 
• Relational model 
• SQL 
• Integrity constraints normal forms 
• 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 

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 
• Random Variables 

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 

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 

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 

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 

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 

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 

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 

Demultiplexers 

Schmitt trigger 

A/D and D/A converters 

VCOs and timers 

Combinational and sequential logic circuits 

Sample and hold circuits 

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 

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 

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 

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. 

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 

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 

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 

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 

Random processes 

Properties of White Noise 

Autocorrelation and Power Spectral Density 

Filtering of Random Signals Through LTI Systems 

Analog communications 

Superheterodyne 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 

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 

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 

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 

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 

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 

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 

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 

Basics Of Remote Sensing And GIS 

Errors And Their Adjustment 

Principles Of Surveying 

Traversing And Triangulation Survey 

Total Station 

Photogrammetry And Remote Sensing – Scale, Flying Height 

Horizontal And Vertical Curves 

Distance And Angle Measurement – Leveling and Trigonometric Leveling 

Maps – Scale, Coordinate System 

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

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

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

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

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

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