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M.Tech Entrance Examination Syllabus

SYLLABUS
Civil (Code 01)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Mechanics of Solids and Structural Analysis (ii) Concrete and Steel Structure (iii) Soil Mechanics and Geo
Technical Engineering (iv) Fluid Mechanics and Water Resources Engineering (v) Environmental
Engineering (vi) Surveying (vii) Transportation Engineering (viii) Remote Sensing (ix) Geographic
Information Systems (GIS).

Mechanical (Code 02)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i)Mechanics and Machine Design (ii) Material Science and Metallurgy (iii) Thermo dynamics (iv)
Refrigeration and Air Conditioning (v) Production Technology (vi) Automotive Engines (vii) Automotive
Transmission (viii) Strength of Materials (ix) Casting, metal forming and metal joining processes (x) Tool
Engineering, Machine tool operation, Metrology and inspection (xi) Engineering Materials, Processing of
Plastics and Computer Aided Manufacturing (xii) Product Design, Process Planning, Cost Estimate, Design
of Jigs and Fixtures and Press Tools (xiii) Operations Research. (xiv) Operations Management (xv) Quality
Control Reliability and Maintenance.

Electrical (Code 03)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Circuit Theory (ii) Network Analysis and Synthesis (iii)DC & AC Machines (iv) Electronic Circuits
(v) Power Electronics (vi) Control Systems (vii) Power System Analysis (viii) Microprocessors.

Electronics (Code 04)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Networks (ii) Electronic Devices (iii) Analog Circuits (iv) Digital circuits and microprocessors (v) Signals
and Systems (vi) Control Systems (vii) Communications (viii) Electromagnetics

Instrumentation (Code 05)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Electron Devices (ii) Linear and Digital Integrated Circuits (iii) Electronic circuits (vi) Transducers and
Industrial Instrumentation (v) Microprocessors and Microcontrollers (vi) Network Analysis (vii) Control
systems (viii) Biomedical Instrumentation (ix) Electrical and Electronic measurements and instrumentation
(x) Process control.

Computer Science (Code 06)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Discrete Mathematical Structures (ii) Micro Processor and Hardware Systems (iii) Computer Organization
and Architecture (iv) System Programming including Assemblers, Compilers and Operating Systems (v)
Programming Methodology, Data Structures and Algorithms (vi) Database Systems (vii) Computer
Networks.

Chemical (Code 07)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Chemical process calculations (ii) Chemical Process Industries (iii) Mechanical Operations (iv) Fluid
Mechanics (v) Heat Transfer (vi) Mass Transfer (vii) Thermodynamics (viii) Chemical Reaction Engineering
(ix ) Instrumentation & Control (x) Process Engineering Economics.

Bio Technology (Code 08)
Cell Structure – Function – Properties of Nucleic Acids - Protein Synthesis – Gene Manipulation –
Transgenic Microbes, Plants and Animals – Metabolism and Bio Energetics – Gene Regulation – Enzyme
Kinetics – Fermentation Process – Production of commercially important enzymes, Recombinant proteins –
Microbial Growth Kinetics – Biosaftey – Bioethics and Intellectual Property Rights – Bio conversion –

Fermentation Kinetics – Bioreactors- Genomics and Proteomics – Computer Applications in Bio
Technology -Nano Biotechnology – Application of Bio Technology – Systems Biotechnology.

GIS (Code 09)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
Probability Theory – Physics of Remote Sensing – Sensor – Electromagnetic Radiation – Satellites
– Photogrammetry – Surveying – Cartography – Digital Image Processing – GIS – Hardwares, Softwares –
Data base Management – Electronic Surveying – GPS – EDM – Radar – Hydrology – Geological Remote
Sensing – Soils – Pollution – Coastal zone – Urban Planning – Disaster.

Environmental (Code 10)
Mathematics
(i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function theory (iv) Calculus and ordinary
Differential Equations (v) Numerical Methods (vi) Probability and Statistics.

Other Topics
(i) Environmental Pollution (ii) Environmental Biotechnology (iii) Thermodynamics (iv)
Ecology (v) Environmental Conservation (vi) Water Resources (vii) Ecology and Sustainable
Development (viii) Remote Sensing (ix) Energy and Environmental (x) Environmental Impact
Assessment (xi) Current Topics in Environmental Sciences (xii) Soil Pollution and Solid Waste
Management (xiii) Natural Hazards (xiv) Environmental and Occupational Health

Food Processing (Code 11)
Bioprocess Engineering:
Properties of Vapors and Gases. Energy Balances/Conservation of Energy; Entropy; Ideal Gas Mixtures and
Psychometrics. Steady-state Heat Transfer; One-dimensional Heat Conduction; Heat Transfer through a
Composite Wall; Conduction, Forced Convection; Overall Heat Transfer Coefficient; Heat Exchangers; Radiation
Heat Transfer. Basic bioprocess engineering and reactor concepts; Stoichiometry , mass and energy balances;
Fluid flow and mixing in bioreactors; Heat transfer in bioprocesses; Mass transfer in bioprocess; Reaction and
cell growth kinetics; Downstream processing unit operations. Process instrumentation

Food Engineering:
Dimensions and units, Evaporation, crystallization, distillation, mechanical separations, size reduction and
mixing, properties of food, blanching, pasteurization, sterilization, extrusion, aseptic processing, drying, material
handling, dairy plant engineering, cereal processing, fat and oil processing, sugar cane processing, food
preservation, storage, non-thermal food processing, bakery and confectionary, meat and poultry processing,
Food safety and waste management, food packaging technology

Biochemistry and nutrition:
Enzymes, Coenzymes, Cofactors, Elements of carbohydrates, fat and protein metabolism, Elements of
photosynthesis, Food Requirements, Vitamins and their functions in the body, Minerals and their functions in
body, Elements in protein biosynthesis-Nucleic acids and their importance.

Microbiology:
Microorganism, isolation of microorganism, identification, stains and staining techniques, Growth, nutrition and
physiology of microorganism, diseases and control, microbial genetics, microbial spoilage in food, beneficial
microorganism, probiotic and prebiotic. Fermentation-Process, types, design, Fermented food products.
Enzymes-production-primary and secondary metabolites, application in food industry.

Nanotechnology (Code 12)
Mathematics : (i) Vector calculus (ii) Determinants and Matrices (iii) Analytic function
theory (iv) Calculus and ordinary Differential Equations (v) Numerical Methods (vi)
Probability and Statistics.

Other Topics:
Quantum Mechanics : Wave-particle duality, Heisenberg’s uncertainty principle, the
schrodinger equation, particle in a box, harmonic oscillator, tunneling through a barrier.
Motion in a central potential, orbital angular momentum, addition of angular momentum,
time independent perturbation theory. Fermi’s golden rule. Elementary theory of scattering
in a central potential.

Materials Science : Crystal structure, crystal diffraction and reciprocal lattice, types of
bonding, elementary ideas about point defects and dislocations, lattice vibrations, electron
motion in a periodic potential, energy bands in metals, insulators and semiconductors
Electronic transport from classical kinetic theory, electrical and thermal conductivity. Hall
effect and thermo electric power transport in semiconductors.
Di-electics-polarization mechanisms, Clausius-Mossotti equation, Piezo, Pyro and ferro
electricity.

Magnetism : Dia and para magnetism; exchange interactions, magnetic order, ferro, Antiferro
and ferromagnetism.
Superconductivity – basic phenomenology. Meissner effect, Type-I and Type-II
superconductors, BCS theory, London equations

Laser : Operating principles, semi conducting lasers: structures and properties, Quantum
well laser : operating principle and applications

Materials Synthesis : Polymers, composites, liquid crystals, organics conductors,
nanomaterials, multiphase materials and deformation, various types of isomorphism, two
component phase diagram

Mechanics : Governing equations for fluid flow and heat transfer, boundary layer theory,
Boussinesq approximation, Blasius flow over a flat plate, dynamic behavior of fluid system,
computational fluid dynamics, finite element method, flow measurements, measurement
technique for pressure, temperature and power, types of thermo-couples and transducers, skin
friction coefficient for boundary layers on a flat plate

Biology and Health Sciences : Physiology, anatomy, basic cell biology, genetics, common
infectious diseases, bacteriology, virology, cancers, various diseases of the cardiovascular
system, nervous system, pulmonary system, digestive system

Electronics : Biopolar junction transistors and its applications, field effect transistor : JFET,
MOSFET, C-MOS and CCD
Discrete Fourier transform, frequency domain sampling of discrete time signals, properties of
DFT, DET as a linear transformation, relationship of DFT to other transform, frequency
analysis of signals using the DFT, computation of DFT and FFT algorithms.
CMOS process technology : Silicon-semiconductor technology, wafer processing, oxidation,
epitaxy, deposition, ion implantation and diffusion, n-well CMOS process, p-well CMOS
process, twin tub CMOS process and silicon on insulator. Software simulation of VLSI
design.

MEMS/NEMS : Critical understanding of various transduction principles-design, production
and characterization of MEMS devices-sending (piezoelectric, capacitive, magnetic, etc.,) –
Actuation (electrostatic, electromagnetic, thermal, piezoelectric, SMA, etc.,) Layout and
design rules Experimental Mechanics for Microelectromechanical Systems (MEMS) –
Methods, techniques, and philosophies to characterize micro/nano electro-magnetomechanical
system (NEMS)