syllabus for ph.d. examination (gptr-2016) syllabus new _6feb 2016.pdf · and principle of...

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Syllabus for Ph.D. Examination (GPTR-2016) 1. SCHOOL OF ENGINEERING ELECTRICAL ENGINEERING Circuits and Networks: Circuit's elements and theorems, Transient response and steady state response for sinusoidal and arbitrary inputs, Properties of networks, Resonant circuits, Three-phase circuits, Transfer function., two- port networks, network synthesis. Electro- magnetic field theory: Electric and magnetic fields and associated laws, Fields in dielectrics, conductors and magnetic materials, Resistance, inductance and capacitance calculations, Maxwell's equations, Time varying fields, Wave propagation and mode in dielectric and conducting media, Transmission lines. Smith chart. Instrumentation and Control: Error analysis, Units and Standards, measurement of current, Voltage, power, Power-factor and energy. Indicating instruments. Measurement of resistance, inductance, capacitance and frequency. Bridge, measurements. Electronic measuring instruments. Digital voltmeter and frequency counter, Hall effect and its applications, Transducers and their applications for non-electrical quantities like temperature, pressure, flow-rate displacement, acceleration, noise level, etc. Data acquisition systems modeling of physical systems. Block diagrams and signal flow graphs and their reduction. Time domain and frequency domain analysis of linear system. Errors for different inputs and stability criteria for feedback systems, Stability analysis using Routh-Hurwitz array, Nyquist plot and Bode plot. Root locus and Nicols chart and the estimation of margin. Basic concepts of compensator design. State variable matrix and its use in system modeling and design. Sampled data system and performance with the samples in the error channel, Stability of sampled data system, Elements of non-linear control analysis, Control system components, electromechanical, hydraulic, pneumatic components. Power Apparatus and Drive Magnetic materials and Circuits analysis; construction, Design, performance of 1-phase and three-phase Power transformers, Auto-transformer Concepts in rotating machines, Construction, governing equations, machine types, operation, leakage, losses and efficiency, regulation, starting, speed control of DC, theory and principle of induction and synchronous, characteristics and application of Power semi-conductor devices,. 1-phase and 3-phase power converters, AC switches. Thyristor controlled reactors, switched capacitor networks, Inverters; 1-phase and 3-phase PWM techniques, UPS and SMPS, operating analysis of AC voltage controller, cyclo-converter and chopper, commutation techniques, component of electric drive system, thermal model, determination of ratings, starting and braking operation of various machines, converter fed DC and AC drives . Power Systems Types of Power Stations, Pumped storage plants. Economics and operating factors. Power transmission lines. Modeling and performance characteristics. Voltage control. Load flow studies. Optimal power system operation, Load frequency control, Symmetrical component and circuit analysis. Z-Bus formulation, Per Unit system, Fault analysis. Transient and steady-state stability of power systems, Power system Protection Circuit breakers. Relays. Power system Transients, HVDC and HVAC transmission. Renewable energy sources, energy management systems, FACTS devices, power quality. Analog, Digital Circuits and Micro-processors

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Page 1: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

Syllabus for Ph.D. Examination (GPTR-2016)

1. SCHOOL OF ENGINEERING

ELECTRICAL ENGINEERING

Circuits and Networks:

Circuit's elements and theorems, Transient response and steady state response for sinusoidal and

arbitrary inputs, Properties of networks, Resonant circuits, Three-phase circuits, Transfer function., two-

port networks, network synthesis.

Electro- magnetic field theory:

Electric and magnetic fields and associated laws, Fields in dielectrics, conductors and magnetic materials,

Resistance, inductance and capacitance calculations, Maxwell's equations, Time varying fields, Wave

propagation and mode in dielectric and conducting media, Transmission lines. Smith chart.

Instrumentation and Control:

Error analysis, Units and Standards, measurement of current, Voltage, power, Power-factor and energy.

Indicating instruments. Measurement of resistance, inductance, capacitance and frequency. Bridge,

measurements. Electronic measuring instruments. Digital voltmeter and frequency counter, Hall effect

and its applications, Transducers and their applications for non-electrical quantities like temperature,

pressure, flow-rate displacement, acceleration, noise level, etc. Data acquisition systems modeling of

physical systems. Block diagrams and signal flow graphs and their reduction. Time domain and frequency

domain analysis of linear system. Errors for different inputs and stability criteria for feedback systems,

Stability analysis using Routh-Hurwitz array, Nyquist plot and Bode plot. Root locus and Nicols chart and

the estimation of margin. Basic concepts of compensator design. State variable matrix and its use in

system modeling and design. Sampled data system and performance with the samples in the error

channel, Stability of sampled data system, Elements of non-linear control analysis, Control system

components, electromechanical, hydraulic, pneumatic components.

Power Apparatus and Drive

Magnetic materials and Circuits analysis; construction, Design, performance of 1-phase and three-phase

Power transformers, Auto-transformer Concepts in rotating machines, Construction, governing equations,

machine types, operation, leakage, losses and efficiency, regulation, starting, speed control of DC, theory

and principle of induction and synchronous, characteristics and application of Power semi-conductor

devices,. 1-phase and 3-phase power converters, AC switches. Thyristor controlled reactors, switched

capacitor networks, Inverters; 1-phase and 3-phase PWM techniques, UPS and SMPS, operating analysis

of AC voltage controller, cyclo-converter and chopper, commutation techniques, component of electric

drive system, thermal model, determination of ratings, starting and braking operation of various

machines, converter fed DC and AC drives .

Power Systems

Types of Power Stations, Pumped storage plants. Economics and operating factors. Power transmission

lines. Modeling and performance characteristics. Voltage control. Load flow studies. Optimal power

system operation, Load frequency control, Symmetrical component and circuit analysis. Z-Bus

formulation, Per Unit system, Fault analysis. Transient and steady-state stability of power systems, Power

system Protection Circuit breakers. Relays. Power system Transients, HVDC and HVAC transmission.

Renewable energy sources, energy management systems, FACTS devices, power quality.

Analog, Digital Circuits and Micro-processors

Page 2: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

Semiconductor physics, PN junctions and transistors, models and parameters, various devices and

applications, switching behavior of semi conductor devices, Small signal amplifiers, biasing circuits,

frequency response and improvement, multi-stage and feed-back amplifiers, D.C. amplifiers, Oscillators.

Large signal amplifiers, coupling methods, push pull and operational amplifiers, wave shaping circuits.

Multi-vibrators and flip-flops and their applications. Digital logic and gates, universal gates combinational

circuits for arithmetic and logic operation, sequential logic circuits. Counters, registers, RAM and ROMs,

80 family Micro-processor architecture, Instruction set and assembly language programming, Interfacing

for memory and I/O, Applications of Micro-processors in electrical engineering.

MECHANICAL ENGINEERING

ENGINEERING MECHANICS: Free body diagrams and equilibrium; trusses and frames; virtual work;

kinematics and dynamics of particles and of rigid bodies in plane motion, including impulse and

momentum (linear and angular) and energy formulations; impact.

STRENGTH OF MATERIALS: Stress and strain, stress-strain relationship and elastic constants, Mohr’s circle

for plane stress and plane strain, thin cylinders; shear force and bending moment diagrams; bending and

shear stresses; deflection of beams; torsion of circular shafts; Euler’s theory of columns; strain energy

methods; thermal stresses. DESIGN: Design for static and dynamic loading; failure theories; fatigue

strength and the S-N diagram; principles of the design of machine elements such as bolted, riveted and

welded joints, shafts, spur gears, rolling and sliding contact bearings, brakes and clutches.

ENGINEERING MATERIALS: Structure and properties of engineering materials, heat treatment, stress-

strain diagrams for engineering materials.

THEORY OF MACHINES: Displacement, velocity and acceleration analysis of plane mechanisms; dynamic

analysis of slider-crank mechanism; gear trains; flywheels.

VIBRATIONS: Free and forced vibration of single degree of freedom systems; effect of damping; vibration

isolation; resonance, critical speeds of shafts.

DESIGN: Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram;

principles of the design of machine elements such as bolted, riveted and welded joints, shafts, various

types gears (spur, bevel, helical, worm etc) rolling and sliding contact bearings, brakes and clutches.

FLUID MECHANICS: Fluid properties; fluid statics, manometry, buoyancy; control-volume analysis of mass,

momentum and energy; fluid acceleration; differential equations of continuity and momentum;

Bernoulli’s equation; viscous flow of incompressible fluids; boundary layer; elementary turbulent flow;

flow through pipes, head losses in pipes, bends etc.

HEAT-TRANSFER: Modes of heat transfer; one dimensional heat conduction, resistance concept, electrical

analogy, unsteady heat conduction, fins; dimensionless parameters in free and forced convective heat

transfer, various correlations for heat transfer in flow over flat plates and through pipes; thermal

boundary layer; effect of turbulence; radiative heat transfer, black and grey surfaces, shape factors,

network analysis; heat exchanger performance, LMTD and NTU methods.

POWER ENGINEERING: Steam Tables, Rankine, Brayton cycles with regeneration and reheat. I.C. Engines:

air-standard Otto, Diesel cycles. Refrigeration and air-conditioning: Vapour refrigeration cycle, heat

Page 3: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

pumps, gas refrigeration, Reverse Brayton cycle; moist air: psychrometric chart, basic psychrometric

processes.

Turbo-machinery: Pelton-wheel, Francis and Kaplan turbines — impulse and reaction principles, velocity

diagrams. Mechanics of machining, single and multi-point cutting tools, tool geometry and materials, tool

life and wear; economics of machining; principles of non-traditional machining processes; principles of

work holding, principles of design of jigs and fixtures

PRODUCTION PLANNING AND CONTROL: Forecasting models, aggregate production planning, scheduling,

materials requirement planning.

INVENTORY CONTROL: Deterministic and probabilistic models; safety stock inventory control systems.

OPERATIONS RESEARCH: Linear programming, simplex and duplex method, transportation, assignment,

network flow models, simple queuing models, PERT and CPM.

METAL CASTING: Design of patterns, moulds and cores; solidification and cooling; riser and gating design,

design considerations.

FORMING: Plastic deformation and yield criteria; fundamentals of hot and cold working processes; load

estimation for bulk (forging, rolling, extrusion, and drawing) and sheet (shearing, deep drawing, and

bending) metal forming processes; principles of powder metallurgy.

JOINING: Physics of welding, brazing and soldering; adhesive bonding; design considerations in welding.

MACHINING AND MACHINE TOOL OPERATIONS: Different Machining Processes,Mechanics of machining,

single and multi-point cutting tools, tool geometry and materials, tool life and wear; economics of

machining; principles of non-traditional machining processes; principles of work holding, principles of

design of jigs and fixtures

AR ARCHITECTURE AND PLANNING

Section 1: Architecture and Design Visual composition in 2D and 3D; Principles of Art and Architecture; Organization of space; Architectural Graphics; Computer Graphics– concepts of CAD, BIM, 3D modeling and Architectural rendition; Programming languages and automation. Anthropometrics; Planning and design considerations for different building types; Site planning; Circulation- horizontal and vertical; Barrier free design; Space Standards; Building Codes; National Building Code. Elements, construction, architectural styles and examples of different periods of Indian and Western History of Architecture; Oriental, Vernacular and Traditional architecture; Architectural developments since Industrial Revolution; Influence of modern art on architecture; Art nouveau, Eclecticism, International styles, Post Modernism, Deconstruction in architecture; Recent trends in Contemporary Architecture; Works of renowned national and international architects.

Section 2: Building Materials, Construction and Management Behavioral characteristics and applications of different building materials viz. mud, timber, bamboo, brick, concrete, steel, glass, FRP, AAC, different polymers, composites. Building construction techniques, methods and details; Building systems and prefabrication of building elements; Principles of Modular Coordination; Estimation, specification, valuation, professional practice; Construction planning and equipments; Project management techniques e.g. PERT, CPM etc.

Section 3: Building and Structures

Page 4: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

Principles of strength of materials; Design of structural elements in wood, steel and RCC; Elastic and Limit State design; Structural systems in RCC and Steel; Form and Structure; Principles of Pre-stressing; High Rise and Long Span structures, gravity and lateral load resisting systems; Principles and design of disaster resistant structures.

Section 4: Environmental Planning and Design Ecosystem- natural and man-made ecosystem; Ecological principles; Concepts of Environmental Impact Analysis; Environmental considerations in planning and design; Thermal comfort, ventilation and air movement; Principles of lighting and illumination; Climate responsive design; Solar architecture; Principles of architectural acoustics; Green Building- Concepts and Rating; ECBC; Building Performance Simulation and Evaluation; Environmental pollution- types, causes, controls and abatement strategies.

Section 5: Urban Design Concepts and theories of urban design; Public Perception; Townscape; Public Realm; Urban design interventions for sustainable development and transportation; Historical and modern examples of urban design; Public spaces, character, spatial qualities and Sense of Place; Elements of urban built environment – urban form, spaces, structure, pattern, fabric, texture, grain etc; Principles, tools and techniques of urban design; Urban renewal and conservation; Site planning; Landscape design; Development controls – FAR, densities and building byelaws.

Section 6: Urban Planning and Housing Planning process; Types of plans - Master Plan, City Development Plan, Structure Plan, Zonal Plan, Action Area Plan, Town Planning Scheme, Regional Plan; Salient concepts, theories and principles of urban planning; Sustainable urban development; Emerging concepts of cities - Eco-City, Smart City, Transit Oriented Development (TOD), SEZ, SRZ etc. Housing; Concepts, principles and examples of neighbourhood; Housing typologies; Slums; Affordable Housing; Housing for special areas and needs; Residential densities; Standards for housing and community facilities; National Housing Policies, Programs and Schemes.

Section 7: Planning Techniques and Management Tools and techniques of Surveys – Physical, Topographical, Landuse and Socioeconomic Surveys; Methods of non-spatial and spatial data analysis; Graphic presentation of spatial data; Application of G.I.S and Remote Sensing techniques in urban and regional planning; Decision support system and Land Information System. Urban Economics; Law of demand and supply of land and its use in planning; Social, Economical and environmental cost benefit analysis; Techniques of financial appraisal; Management of Infrastructure Projects; Development guidelines such as URDPFI; Planning Legislation and implementation – Land Acquisition Act, PPP etc.; Local self-governance.

Section 8: Services, Infrastructure and Transportation Building Services: Water supply; Sewerage and drainage systems; Sanitary fittings and fixtures; Plumbing systems; Principles of internal and external drainage system; Principles of electrification of buildings; Intelligent Buildings; Elevators and Escalators - standards and uses; Air-Conditioning systems; Firefighting Systems; Building Safety and Security systems. Urban Infrastructure – Transportation, Water Supply, Sewerage, Drainage, Solid Waste Management, Electricity and Communications. Process and Principles of Transportation Planning and Traffic Engineering; Road capacity; Traffic survey methods; Traffic flow characteristics; Traffic analyses and design considerations; Travel demand forecasting; Land-use – transportation - urban form inter-relationships; Design of roads, intersections, grade separators and parking areas; Hierarchy of roads and level of service; Traffic and transport management and control in urban areas,; Mass transportation planning; Paratransits and other modes of transportation, Pedestrian and slow moving traffic planning; Intelligent Transportation Systems. Principles of water supply and sanitation systems; water treatment; Water supply and distribution system; Water harvesting systems; Principles, Planning and Design of storm water drainage system; Sewage disposal methods; Methods of solid waste management - collection, transportation and disposal; Recycling and Reuse of solid waste; Power Supply and Communication Systems, network, design and guidelines.

Page 5: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

2. SCHOOL OF MANAGEMENT:

Human Resource Management:

HR challenges; HRM functions; Strategic Management of human resources; Human resource

planning; Job analysis; Job evaluation; Recruitment and selection; Training and development;

Promotion and transfer; Performance management; Compensation management and benefits;

Employee morale and productivity; Management of organizational climate and Industrial

relations; Human resources accounting and audit; Human resource information system;

Marketing Management:

Concept, evolution and scope; Marketing strategy formulation and components of marketing plan;

Segmenting and targeting the market; Positioning and differentiating the market offering;

Analyzing competition; Analyzing consumer markets; Industrial buyer behavior ; Market

research; Product strategy; Pricing strategies; Designing and managing Marketing channels;

Integrated marketing communications; Building customer satisfaction, Value and retention;

Services and non-profit marketing; Ethics in marketing;

Financial Management:

Goals of finance function; Concepts of value and return; Valuation of bonds and shares;

Management of working capital: Estimation and financing; Management of cash, receivables,

inventory and current liabilities; Cost of capital; Capital budgeting; Financial and operating

leverage; Design of capital structure: theories and practices; Shareholder value creation: dividend

policy, corporate financial policy and strategy; Capital and money markets: institutions and

instruments; Leasing, hire purchase and venture capital; Regulation of capital market; Risk and

return: portfolio theory; Financial derivatives: option, futures, swap

Operations Management:

Fundamentals of operations management; Organizing for production; Aggregate production

planning, capacity planning, plant design: process planning, plant size and scale of operations,

Management of facilities; Line balancing; Equipment replacement and maintenance; Production

control; Supply chain management - vendor evaluation and audit; Quality management; Statistical

process control, Six Sigma; Flexibility and agility in manufacturing systems; World class

manufacturing; Project management concepts, R&D management, Management of service

operations; Role and importance of materials management, value analysis, make or buy decision;

Inventory control, MRP; Waste management.

3. SCHOOL OF VOCATIONAL STUDIES AND APPLIED

SCIENCES:

APPLIED CHEMISTRY

Basic Principles of Quantum Mechanics:

Postulates; operator algebra; Approximate methods of quantum mechanics; Elementary concepts

of MO and VB theories, Structure, bonding and shapes of molecules in homo and heteronuclear

molecules; Atomic structure and spectroscopy

Chemical Periodicity:

Concepts of acids and bases; Main group elements and their compounds; Transition elements and

coordination compounds

Organometallic Compounds-Synthesis:

Bonding and structure, and reactivity; Organometallics in homogeneous catalysis; Cages and

metal clusters.

Page 6: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

Nuclear Chemistry:

Nuclear reactions, fission and fusion, radio-analytical techniques and activation analysis.

Analytical Chemistry:

Separation, spectroscopic, electro- and thermoanalytical methods.

Bioinorganic Chemistry:

Photosystems, porphyrins, metalloenzymes, oxygen transport,electron- transfer reactions; nitrogen

fixation, metal complexes in medicine

Chemical Thermodynamics:

Laws, state and path functions and their applications; thermodynamic description of various types

of processes; Maxwell‟s relations; spontaneity and equilibria; temperature and pressure

dependence of thermodynamic quantities; Le Chatelier principle; elementary description of phase

transitions; phase equilibria and phase rule; thermodynamics of ideal and non-ideal gases, and

solutions.

Chemical Kinetics:

Empirical rate laws and temperature dependence; complex reactions; steady state approximation;

determination of reaction mechanisms; collision and transition state theories of rate constants;

unimolecular reactions; enzyme kinetics; salt effects; homogeneous catalysis; photochemical

reactions.

Electrochemistry:

Nernst equation, redox systems, electrochemical cells; Debye-Huckel theory; electrolytic

conductance–Kohlrausch‟s law and its applications; ionic equilibria; conductometric and

potentiometric titrations.

Colloids and Surfaces:

Stability and properties of colloids; isotherms and surface area; heterogeneous catalysis; Catalysis

and green chemistry

Solid State:

Crystal structures; Bragg‟s law and applications; band structure of solids

Principles of Stereochemistry:

Configurational and conformational isomerism in acyclic and cyclic compounds; stereogenicity,

stereoselectivity, enantioselectivity, diastereoselectivity and asymmetric induction.

Organic Reaction:

Mechanisms involving addition, elimination and substitution reactions with electrophilic,

nucleophilic or radical species; Determination of reaction pathways. Concepts in organic

synthesis: Retrosynthesis, disconnection, synthons, linear and convergent synthesis, umpolung of

reactivity and protecting groups.

Asymmetric Synthesis:

Chiral auxiliaries, methods of asymmetric induction – substrate, reagent and catalyst controlled

reactions; determination of enantiomeric and diastereomeric excess; enantio-discrimination.

Resolution–optical and kinetic.

Pericyclic Reactions:

Electrocyclisation, cycloaddition, sigma tropic rearrangements and other related concerted

reactions; Principles and applications of photochemical reactions in organic chemistry.

Polymer Chemistry:

Molar masses; kinetics of polymerization, Solution and thermal properties.

Chemistry of Natural Products:

Carbohydrates, proteins and peptides, fatty acids, nucleic acids, terpenes, steroids and alkaloids;

Biogenesis of terpenoids and alkaloids.

Chemistry in Nanoscience and Technology:

Page 7: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

Environmental chemistry; Medicinal chemistry; Supramolecular chemistry

APPLIED MATHEMATICS

Analysis:

Elementary set theory, finite, countable and uncountable sets, Real number system as a complete

ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence,

limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, uniform

continuity, differentiability, mean value theorem. Sequences and series of functions, uniform

convergence. Riemann sums and Riemann integral, Improper Integrals. Monotonic functions,

types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral.

Functions of several variables, directional derivative, partial derivative, derivative as a linear

transformation, inverse and implicit function theorems. Metric spaces, compactness,

connectedness.Normed linear Spaces.Spaces of continuous functions as examples.

Linear Algebra:

Vector spaces, subspaces, linear dependence, basis, dimension, algebra of lineartransformations.

Algebra of matrices, rank and determinant of matrices, linear equations. Eigenvalues and

eigenvectors, Cayley-Hamilton theorem.Matrix representation of linear transformations. Change

of basis, canonical forms, diagonal forms, triangular forms, Jordan forms. Inner product spaces,

orthonormal basis. Quadratic forms, reduction and classification of quadratic forms

Complex Analysis:

Algebra of complex numbers, the complex plane, polynomials, power series,transcendental

functions such as exponential, trigonometric and hyperbolic functions. Analytic functions,

Cauchy-Riemann equations. Contour integral, Cauchy‟s theorem, Cauchy‟s integral formula,

Liouville‟s theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem.

Taylor series, Laurent series, calculus of residues.Conformal mappings, Mobius transformations.

Algebra:

Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements.

Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem,

Euler‟s Ø- function, primitive roots.Groups, subgroups, normal subgroups, quotient groups,

homomorphisms, cyclic groups, permutation groups, Cayley‟s theorem, class equations, Sylow

theorems. Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain,

principal ideal domain, Euclidean domain. Polynomial rings and irreducibility criteria. Fields,

finite fields, field extensions, Galois Theory.

Topology: Basis, dense sets, subspace and product topology, separation axioms, connectedness

and compactness.

Ordinary Differential Equations (ODEs):

Existence and uniqueness of solutions of initial value problems for first order ordinary differential

equations, singular solutions of first order ODEs, system of first order ODEs. General theory of

homogenous and non-homogeneous linear ODEs, variation of parameters, Sturm-Liouville

boundary value problem, Green‟s function.

Partial Differential Equations (PDEs):

Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs.

Classification of second order PDEs, General solution of higher order PDEs with constant

coefficients, Method of separation of variables for Laplace, Heat and Wave.

Numerical Analysis:

Numerical solutions of algebraic equations, Method of iteration and Newton-Raphson method,

Rate of convergence, Solution of systems of linear algebraic equations using Gauss elimination

and Gauss-Seidel methods, Finite differences, Lagrange, Hermite and spline

interpolation,Numerical differentiation and integration, Numerical solutions of ODEs using

Picard, Euler, modified Euler and Runge-Kutta methods.

Page 8: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

Fluid Mechanics:

Real and Ideal fluids, Basic flow concepts, Viscosity, Laminar and Turbulent flows, Reynolds

Number, Eulerian and Lagrangian description of fluid motion, steady and unsteady flows,

Couette-Poiseuille flows. Equations of mass and momentum (Euler equation).

Probability and Distributions:

Descriptive statistics, exploratory data analysis.Sample space, discrete probability, independent

events, Bayes theorem.Random variables and distribution functions (univariate and multivariate),

Binomial, Poisson, Normal distributions, expectation and moments.Independent random variables,

marginal and conditional distributions.

Operations Research:

Linear programming problem, simplex methods, duality. Elementary queuing and inventory

models.Jobsequences, Game theory, Steady-state solutions of Markovian queuing models: M/M/1,

M/M/1 with limited waiting space, M/M/C, M/M/C with limited waiting space, M/G/1.

APPLIED PHYSICS

Mathematical Method of Physics:

Vector Algebra and vector calculus; Linear algebra, matrices, Cayley Hamilton theorem,

eigenvalue problems; Linear differential equations; Special functions (Hermite , Bessel, Laguerre

and Legender); Fourier series, Fourier and Laplace transforms; Elements of complex analysis:

Laurent series-poles, residues and evaluation of integrals; Elementary ideas about tensors;

Introductory group theory, SU(2),O(3); Elements of computational techniques: roots of functions,

interpolation, extrapolation, integration by trapezoid and Simpson‟s rule, solution of first order

differential equations using Runge-Kutta method; Finite difference methods; Elementary

probability theory, random variables, binomial, Poisson and normal distributions.

Electromagnetic theory:

Electrostatics: Gauss‟ Law and its applications; Laplace and Poison equations, boundary value

problems; Magnetostatics: Biot–savart law, Ampere‟s theorem, electromagnetic induction;

Maxwell‟s equations in free space and linear isotropic media; boundary conditions on fields at

interface; Scalar and vector potential; Gauge invariance; Electromagnetic wave in free space,

dielectrics, and conductors; Reflection and refraction, polarization, Fresnel‟s Law, interface,

coherence, and diffraction; Dispersion relations in plasma; Lorentz invariance of Maxwell‟s

equations; Transmission lines and wave guides.

Quantum Mechanics:

Wave-particle duality; Wave function in coordinate and momentum representation; Commutators

and Heisenberg‟s uncertainty principle; Matrix representation; Dirac‟s bra and ket notation;

Schroedinger equation (time-dependent and time-independent); Eigenvalue problem such as

particle-in-a-box, harmonic oscillator, etc.; Tunneling through a barrier; Motion in a central

potential; Orbital angular momentum, Angular momentum algebra, spin; Addition of angular

momenta; Hydrogen atom, spin-orbit coupling, fine structure; time independent perturbation

theory and applications; Variational method; WKB approximation; Time dependent perturbation

theory and Fermi‟s Golden Rule; Selection Rules; Semi-classical theory of radiation; Elementary

theory of scattering, phase shifts, partial waves, Born approximation; Identical particles, Pauli‟s

exclusion principle, spin-statistics connection; Relativistic quantum mechanics: Klein Gordon

and Dirac equations.

Thermodynamic and Statistical Physics:

Laws of thermodynamics and their consequence; Thermodynamic potentials, Maxwell relations;

Chemical potential, phase equilibria; Phase space, micro-and macrostates; Microcanonical,

Page 9: Syllabus for Ph.D. Examination (GPTR-2016) Syllabus New _6Feb 2016.pdf · and principle of induction and synchronous, ... coupling methods, ... single and multi-point cutting tools,

canonical and grand-canonical ensembles and partition functions; Free energy and connection

with thermodynamic quantities; First-and second–order phase transitions; Classical and quantum

statistics, ideal Fermi and Bose gases; Principle of detailed balance; Blackbody radiation and

Planck‟s distribution law; Bose-Einstein condensation; Random Walk and Brownian motion;

introduction to nonequilibrium processes; Diffusion equations.

Electronics:

Semiconductor device physics, including diodes, junctions, transistors, field effect devices, homo

and hetero junction devices, device structure, device characteristics, frequency dependence and

applications; Optoelectronics devices, including solar cells, photodetectors, and LEDs;

Highfrequency

devices, including generators and detectors; Operational amplifiers and their

applications; Digital techniques and applications (registers, counters, comparators, and similar

circuits); A/D and D/A converters; Microprocessors and microcontroller basics.

Experimental Techniques and data analysis:

Data interpretation and analysis; Precision and accuracy, error analysis, propagation of errors,

least squares fitting, linear and nonlinear curve fitting, chi-square test; Transducers (temperature,

pressure/vacuum, magnetic field, vibration, optical, and particle detectors), measurement and

control; Signals conditioning and recovery, impedance matching, amplification (Op-amp based,

instrumentation; amp feedback), filtering and noise reduction, shielding and grounding; Fourier

transforms; lock-in detector, box-in car integrator, modulation techniques.

Atomic and Molecular Physics:

Quantum stats of an electron in an atom; Electro spin; Stern-Gerlach experiment; Spectrum of

Hydrogen, helium and alkali atoms; Relativistic corrections for energy levels of hydrogen;

Hyperfine structure and isotopic shift; width of spectral lines; LS&JJ coupling; Zeeman, paschen

Back & Stark effect; X-ray spectroscopy; Electron spin resonance, Nuclear magnetic resonance,

chemical shift; Rotational, vibrational, electronic, and raman spectra of diatomic molecules;

Frank–Condon principle and selection rules; Spontaneous and stimulated emission, Einstein A &

B coefficients; Lasers, optical pumping, population inversion, rate equation; Modes of resonators

and coherence length.

Condensed Matter Physics:

Bravais lattices; Reciprocal lattice, diffraction and the structure factor; Bonding of solids Elastic

properties, phonons, lattice specific heat; Free electron theory and electronic specific heat;

response and relaxation phenomena; Drude model of electrical and thermal conductivity; Hall

effect and thermoelectric power; Diamagnetism, paramagnetism, and ferromagnetism; Electron

motion in a periodic potential, band theory of metals, insulators and semiconductors;

Superconductivity, type-l and type-ll superconductors, Josephson Junctions; Defects and

dislocations; Ordered phase of matter, translational and orientational order, kinds of liquids

crystalline order; Conducting polymers; Quasicrystals.

4. SCHOOL OF BIOTECHNOLOGY

Biochemistry Physiochemical properties of amino acids and proteins; Primary, Secondary, Tertiary and

Quaternary Structures of proteins, Protein stability and denaturation. Determination of protein

structure, vitamins; structure and functions, coenzymes forms and biochemical functions,

Enzymes: Nomenclature, Enzyme catalytic mechanisms, Factors affecting enzyme activity,

Michalis-Menten kinetics, Isozymes, regulation of enzyme activity, Enzyme inhibition kinetics,

Structure organization and function of nucleic acids, carbohydrates and biomolecules,

Metabolism, glycolysis, TCA metabolism of lipids nucleic acids and proteins, Various

biochemical techniques, Centrifugation, electrophoresis, chromatography and spectroscopy.

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Microbiology Classification of Microorganisms, Classification systems: Numerical Taxonomy, Phylogenetic

system, Bacterial taxonomy and Bergey's manual of Bacteriology, Diversity in Bacterial

morphology, Structures external to cell wall: Flagella, Pili, Capsule, Sheath. Prosthecae and Stalk,

Structure and chemical composition of cell wall, Structure internal to cell wall: Cytoplasmic

membrane. Protoplast, Spheroplast, Cytoplasmic inclusions, Genetic material, Growth kinetics,

Spores and Cysts, Major Characteristics used in Bacterial genetics (Conjugation,Transformation

and Transduction), Metagenomics, Drug resistance, Virus, Protoza, Prions. Role of

microorganisms in human health, agriculture and industry.

Molecular Biology Chemical & physical structure of DNA (Watson Crick Model) as deduced from X-ray diffraction

pattern, variability of DNA structure, structure of RNA, Super coiling, Multiplex structure of

DNA & its relevance, Mutagenesis, DNA Damage and repair. Denaturation & Renaturation of

nucleic acids, Replication, Transcription and Translation in Prokaryotes and Eukaryotes,

Regulation of transcription, Chromatin remodeling, Operons, Promoters and transcription factors,.

Constitutive and inducible promoters, Transcriptional regulation in bacteriophage lambda, Lytic

and lysogenic switch, RNA Processing and RNA editing, post transcriptional gene regulation,

miRNA, SiRNA, Genetic code, Essential components of translation, Post translational

modification,Transport of bacterial proteins: Co transational and Post-translational mechanisms,

Control of gene expression at translational level, Techniques of RNA and protein expression

profiling.

Cell Biology Cells (types, diversity & specialization, role of bio-molecules in cell organization, cellular

bioenergetics, metabolism and its regulation); Membrane structure and its functions, transport of

micro and macro molecules across plasma membrane; plant cell wall (its composition and

synthesis); Mitochondria and chloroplast structure and role in cellular bioenergetics; Nucleus and

nuclear envelop, nuclear pore complex transport of RNA and proteins across nuclear membrane.,

chromosome packing and chromatin remodeling during cell cycle and gene expression ;

Chromosomes (physical and chemical nature of gene, structure of viral/ bacterial/eukaryotic

genome, genome stability); Structure and function of Endoplasmic reticulum; golgi complex;

peroxisomes, lysosomesand ribosomes, ; Endo-membrane system and vesicular transport

(endocytic and biosynthetic/ secretary pathways, types of vesicles, protein sorting); post

translation protein uptake; Cell-cell interaction; cytoskeleton; Cell cycle and its control (MPF,

CDKs, cyclin, check points), Cancer (DNA viruses and transforming agents, Human tumor

viruses, Oncogene, proteins in carcinogenesis, Apoptosis), Cell signaling, Gene expression

profiling, microscopy and centrifugation methods.

Immunology The antigen and concept of self and non-self discrimination, Antignicity and immunogenicity,

Factors contributing to antigenecity, Epitope mapping Haptens, Humoral and Acquired Cellular

Immune Response , The organs and cells involved in the immune response, Lymphocyte traffic,

Immunological Methods in Biotechnology (ELISA, RIA etc), Monoclonal Antibodies and

HybridomaTechnology, Advantages over polyclonal antibodies, Basics of animal Cell culture,

Media constituents, Cell quantitation

techniques, Cell lines, Transgenic animals, Reproductive Cloning etc.

Recombinant DNA Technology

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Tools of genetic engineering, Restriction endonucleases, DNA polymerases, Ligases, Kinases

Phosphatases, Reverse transcriptase, Exonucleases, Ribonucleases, Proteinases. Cloning Vectors,

Plasmids & cosmids, Phages, BAC, YAC, transponsons. Radioactive and non radioactive labeling

techniques, Gene cloning, Vectors for heterologus gene expression in bacteria, yeast, animal and

plant cells, Expression and purification of recombinant proteins from bacterial and eukaryotic

systems. Genomic and cDNA libraries, Chromosome walking, gene tagging, subtraction

hybridization, Southern blotting, Northern blotting and western Blotting. Latest techniques in

rDNA technology, DNA Fingerprinting, AFP, RFLP, RAPD. DNAFoot printing, PCR and its

applications, Sequencing of DNA and proteins, Site-directed mutagenesis, Method of genetic

transformation for bacteria, plants and animal cells Protein and nucleic acid gel electrophoresis,

Phage display, Two hybrid system.

Ecology, Evolution and Environmental Biotechnology Concepts of Ecology and Ecosystem, Components of ecosystem, Food chain, Food web, Trophic

level and Energy flow, Characteristic features, structure and function of the Forest, Grassland,

Desert and Aquatic ecosystem, Structure and function of some Indian ecosystems Population

ecology, Species interactions, Community ecology, Ecological succession, Applied ecology,

Biodiversity and Conservation biology, The Mechanism: Population genetics-population, gene

pool, gene frequency, Hardy- Weinberg law, concepts and rate of change in gene frequency

through natural selection, migration and random genetic drift, Emergence of evolutionary

thoughts, Origin of cells and unicellular evolution, Paleontology and evolutionary history,

adaptive radiation and modifications, isolating mechanism, speciation, allopatricity and

sympatricity, convergent evolution, sexual selection, co- evolution, Molecular evolution, Centre of

evolution of economically important plant and animals. Fermentation technology, Vermiculture

technology, Biofertilizer technology, Bioremediation and Phytoremediation, Biosensors.

Basics of bioinformatics and biostatistics

5. SCHOOL OF LAW, JUSTICE & GOVERNANCE

1- Constitutional Law

2- Administrative Law

3- Law of Crimes

4- Public administration

5- International Law

6- Legal Method

7- Jurisprudence

8- Legal research and interdisciplinary legal research

9- Envormental Law

SYLLABUS FOR M.PLAN. PROGRAMME:

Architecture and Planning (AR)

City planning: Evolution of cities; principles of city planning; types of cities & new towns;

planning regulations and building byelaws; eco-city concept; sustainable development.

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Housing: Concept of housing; neighborhood concept; site planning principles; housing typology;

housing standards; housing infrastructure; housing policies, finance and management; housing

programs in India; self-help housing.

Landscape Design: Principles of landscape design and site planning; history of landscape styles;

landscape elements and materials; plant characteristics & planting design; environmental

considerations in landscape planning.

Computer aided Design: Application of computers in architecture and planning; understanding

elements of hardware and software; computer graphics; programming languages – C and Visual

Basic and usage of packages such as Auto CAD, 3D-Studio, 3D Max.

Environmental Studies in Building Science: Components of Ecosystem; ecological principles

concerning environment; climate responsive design; energy efficient building design; thermal

comfort; solar architecture; principles of lighting and styles for illumination; basic principles of

architectural acoustics; environment pollution, their control & abatement.

Visual and Urban Design: Principles of visual composition; proportion, scale, rhythm,

symmetry, harmony, datum, balance, form, colour, texture, sense of place and space, division of

space; barrier free design; focal point, vista, image ability, visual survey, figure-background

relationship.

History of Architecture: Indian – Indus valley, Vedic, Buddhist, Indo-Aryan, Dravidian and

Mughal periods; European – Egyptian, Greek, Roman, medieval and renaissance periods-

construction and architectural styles; vernacular and traditional architecture.

Development of Contemporary Architecture: Architectural developments and impacts on

society since industrial revolution: influence of modern art on architecture; works of national and

international architects; art novuea, eclecticism, international styles, post modernism,

deconstruction in architecture.

Building Services: Water supply, sewerage and drainage systems; sanitary fittings and fixtures;

plumbing systems, principles of internal, & external drainage systems, principles of electrification

of buildings, intelligent buildings; elevators & escalators, their standards and uses; air-

conditioning systems; fire fighting systems, building safety and security systems.

Building Construction and Management: Building construction techniques, methods and

details; building systems and prefabrication of building elements’ principles of modular

coordination; estimation, specification, valuation, professional practice; project management

techniques e.g., PERT, CPM etc;

Materials and Structural Systems: Behavioral characteristics of all types of building materials

e.g. mud, timber, bamboo, brick, concrete, steel, glass, FRP, different polymers, composites;

principles of strength of materials; design of structural elements in wood, steel and RCC; elastic

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and limit state design; complex structural systems; principles of pre-stressing; tall buildings;

principles of disaster resistant structures.

Planning Theory: Regional planning; settlement system planning; history of human settlements;

growth of cities & metropolises; principles of Ekistics; rural-urban migration; urban conservation;

urban renewal; Five-year plan; structural and sectoral plan.

Techniques of Planning: Planning survey techniques; preparation of urban and regional structure

plans, development plans, action plans; site planning principles and design; statistical methods of

data analysis; application of G.I.S and remote sensing techniques in urban and regional planning;

decision making models.

Traffic and Transportation Planning: Principles of traffic engineering and transportation

planning; traffic survey methods; design of roads, intersection, grade separators and parking areas;

hierarchy of roads and levels of services; traffic and transport management in urban areas,

intelligent transportation system; mass transportation planning; para-transits and other modes of

transportation, pedestrian & slow moving traffic planning.

Infrastructure, services and Amenities: Principles of water supply and sanitation systems;

water treatment; solid waste disposal systems; waste treatment, recycle & reuse; urban rainwater

harvesting; power supply and communication systems – network, design & guidelines;

demography related standards at various levels of the settlements for health, education, recreation,

religious & public-semi public facilities.

Development Administration and Management: Planning laws; development control and

zoning regulations; laws relation to land acquisition; development enforcements, urban land

ceiling; land management techniques; planning and municipal administration; disaster mitigation

management; 73rd

& 74th

Constitutional amendments; valuation & taxation; revenue resources and

fiscal management; public participation and role of NGO & CBO; Institutional networking &

capacity building.