Phd Entrance Exam North Maharashtra University

Please tell me the procedure of do participate in the PHD Degree course entrance exam of North Maharashtra University because I want to do participate in this so ask you about this so ask you the procedure of do participate in this

The North Maharashtra University conduct PET Ph.D. Entrance Test details are here:

PhD

Eligibility:
The applicant should have a Masters degree in relevant discipline from any recognized University.

Selection procedure:
Admission is based in entrance test conducted by University.

Entrance Test:
The conduction of PET and registration for Ph.D are two separate processes

An entrance test will be conducted by an online process.

Tentative dates:
Entrance Exam Date:
Oct 2014

Last Date of Form Submission:
2nd week of Nov 2014

NMU PhD Entrance Test Syllabus

NORTH MAHARASHSTRA UNIVERSITY
SYLLABUS FOR Ph. D.
ENTRANCE TEST
PAPER – I
GENERAL APTITUDE TEST
2
Ph. D. ENTRANCE TEST
Syllabus for PAPER-I
I. Research Aptitude :
Research: Meaning, characteristics and types;
Steps of research;
Methods of research;
Research Ethics;
Paper, article, workshop, seminar, conference and symposium;
Thesis writing: its characteristics and format.
II. Teaching Aptitude :
Teaching : Nature, objectives, characteristics and basic requirements;
Learners characteristics;
Factors affecting teaching;
Methods of teaching;
Teaching aids;
Evaluation systems.
III. Reading Comprehension :
A passage to be set with questions to be answered.
IV. General Awareness about Basic Science :
Basic Science up to the level of SSC.
V. Mathematical Reasoning:
Number series; letter series; codes;
Relationships; classification.
VI. Logical Reasoning :
Understanding the structure of arguments;
Evaluating and distinguishing deductive and inductive reasoning;
Verbal analogies : Word analogy-Applied analogy;
Verbal classification;
Reasoning Logical Diagrams : Simple diagrammatic relationship, multidiagrammatic
relationship; Venn diagram; Analytical Reasoning.
VII. Data Interpretation :
Sources, acquisition and interpretation of data;
Quantitative and qualitative data;
Graphical representation and mapping of data.
VIII. Information and Communication Technology (ICT) :
ICT : meaning, advantages, disadvantages and uses;
General abbreviations and terminology;
Basics of internet and e-mailing.
IX. Environment Awareness :
People and environment interaction;
Sources of pollution;
Pollutants and their impact on human life, exploitation of natural and energy
resources; Natural hazards and mitigation.
X. General Awareness about Higher Education System :
Structure of the institutions for higher learning and research in India; formal and
distance education; professional/technical and general education; value education;
governance, polity and administration; concept, institutions and their interactions.
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3

NORTH MAHARASHSTRA UNIVERSITY
SYLLABUS FOR Ph. D.
ENTRANCE TEST
PAPER – II
FACULTY : SCIENCE (Excluding Computer Science)
4
Physics
1) Mathematical Methods of Physics
Dimensional analysis; Vector algebra and vector calculus; Linear algebra, matrices,
eigenvalue problems; Linear differential equations; Special functions (Hermite, Bessel,
Laguerre and Legendre); Fourier series, Fourier and Laplace transforms; Elements of
complex analysis; Laurent series-poles, residues and evaluation of integrals; Elementary
ideas about tensors; Elements of computational techniques: roots of functions, interpolation,
extrapolation, integration by trapezoid and Simpson’s rule, Elementary probability theory,
random variables, binomial, Poisson and normal distributions.
2) Classical Mechanics
Newton’s laws; Phase space dynamics, stability analysis; Central-force motion;
Twobody collisions, scattering in laboratory and centre-of-mass frames; Rigid body
dynamics, moment of inertia tensor, non-inertial frames and pseudoforces; Variational
principles, Lagrangian and Hamiltonian formalisms and equations of motion; Poisson
brackets and canonical transformations; Symmetry, invariance and conservation laws, cyclic
coordinates; Periodic motion, small oscillations and normal modes; Special theory of
relativity, Lorentz transformations, relativistic kinematics and mass-energy equivalence.
3) Electromagnetic Theory
Electrostatics : Gauss’ Las and its applications; Laplace and Poisson 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 interfaces; Scalar and vector potentials; Gauge invariance;
Electromagnetic waves in free space, dielectrics, and conductors; Reflection and refraction,
polarization, Fresnel’s Law, interference, coherence, and diffraction; Lorentz invariance of
Maxwell’s equations.
4) Quantum Mechanics
Wave-particle duality; Wave functions in coordinate and momentum representations;
Commutators and Heisenberg’s uncertainty principle; Matrix representation; Dirac’s bra and
ket notation; Schroedinger equation (time-dependent and time-independent); Eigenvalue
problems 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, Time- independent perturbation theory and
applications; Variational method; WKB approximation. Time dependent perturbation theory
and Fermi’s Golden Rule; Selection rules; Identical particles, Pauli’s exclusion principle, spin
statistics connection.
5) Thermodynamic and Statistical Physics
Laws of thermodynamics and their consequences; Thermodynamic potentials,
Maxwell relations; Chemical potential, phase equilibria; Phase space, micro- and
macrostates; Microcanonical, canonical and grand-canonical ensembles and partition
functions; Free Energy and connection with thermodynamic quantities; First-aid 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.
5
6) Electronics
Semiconductor device physics, including diodes, junctions, transistors, field effect
devices, homo and heterojunction devices, device structure, device characteristics, frequency
dependence and applications; Optoelectronic devices, including solar cells, 210
photodetectors and LEDs; High-frequency 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.
7) 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; Signal conditioning and recovery, impedance matching,
amplification (Op-amp based, instrumentation amp, feedback), filtering and noise reduction,
shielding and grounding; Fourier transforms.
8) Atomic & Molecular Physics
Quantum states of an electron in an atom; Electron 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
and diatomic molecules; Frank – Condon principle and selection rules; Spontaneous and
stimulated emission, Einstein A & B coefficients; Laser, optical pumping, population
inversion, rate equation.
9) 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 – I and type – II superconductors, Josephson
junctions.
10) Nuclear and Particle Physics –
Basic nuclear properties; size, shape, charge distribution, spin and parity; Binding
energy, semi-empirical mass formula; Liquid drop model; Fission and fusion; Nature of the
nuclear force, form of nucleon-nucleon potential; Charge-independence and chargesymmetry
of nuclear forces; Isospin; Deuteron problem; Evidence of shell structure, singleparticle
shell model, its validity and limitations; Rotational spectra; Elementary ideas of
alpha, beta and gamma decays and their selection rules; Nuclear reactions, reaction
mechanisms, compound nuclei and direct reactions; Classification of fundamental forces;
Elementary particles (quarks, baryons, mesons, leptons); Spin and parity assignments,
isospin, strangeness, basics of LHC.
********
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Electronics (Faculty of Science)
Unit—I :
Electronic Transport in semiconductor, PN Junction, Diode equation and diode equivalent
circuit. Breakdown in diodes. Zener diodes, Tunnel diode, Semiconductor diodes,
characteristics and equivalent circuits of BJT, JFET, MOSFET, IC fabrication-crystal growth,
epitaxy, oxidation, lithography, doping, etching, isolation methods, metallization, bonding.
Thin film active and passive devices.
Unit—II :
Superposition, Thevenin, Norton and maximum Power Transfer Theorems. Network
elements, Network graphs, Nodal and Mesh analysis, Zero and Poles, Bode Plots, Laplace,
Fourier and Z-transforms. Time and frequency domain responses. Image impedance and
passive filters. Two-port Network Parameters. Transfer functions, Signal representation. State
variable method of circuit analysis. AC circuit analysis, Transient analysis.
Unit—III :
Rectifiers, Voltage regulated ICs and regulated power supply, Biasing of Bipolar junction
transistors and JFET. Single stage amplifiers, Multistage amplifiers. Feedback in amplifiers,
oscillators, function generators, multivibrators, Operational Amplifiers (OPAMP)-
characteristics and Applications, Computational Applications, Integrator, Differentiator,
Wave-shaping circuits, F to V and V to F converters. Active filters, Schmitt trigger, Phase
locked loop.
Unit—IV :
Logic families, flip-flops, Gates, Boolean algebra and minimization techniques,
Multivibrators and clock circuits, Counters-Ring, Ripple, Synchronous, Asynchronous, Up
and down shift registers, multiplexers and demultiplexers, Arithmetic circuits, Memories,
A/D and D/A converters.
Unit—V:
Architecture of 8085 and 8086 Microprocessors, Addressing modes, 8085 instruction set,
8085 interrupts, Programming, Memory and I/O interfacing, Interfacing 8155, 8255, 8279,
8253, 8257, 8259, 8251 with 8085 Microprocessors, Serial communication protocols,
Introduction of Microcontrollers (8 bit)-8031/8051 and 8048.
Unit—VI :
MOS capacitor characteristics, MOS devices capacitances, Enhancement and depletion mode
transistor action, Threshold voltage, body effect, MOS switches, nMOS inverter, CMOS
inverter, Latch up in CMOS circuit, stick diagrams layout, floor planning based design rules.
Structural design strategies, Silicon compilers, Logic level simulation, switch level
simulation, schematic editor, layout editor, DRC Adhoc testing, structured design for
testability. Coarse grid symbolic layout, gate matrix layout, stick layout, chip design process,
cell design process, compaction,ground rules for successful design.
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Unit—VII :
Basic principles of amplitude, frequency and phase modulation, Demodulation, Intermediate
frequency and principle of superheterodyne receiver, Spectral analysis and signal
transmission through linear systems, Random signals and noise, Noise temperature and noise
figure. Basic concepts of information theory, Digital modulation and Demodulation PM,
PCM, ASK, FSK, PSK, Time-division Multiplexing, Frequency-Division Multiplexing, Data
Communications-Circuits, Codes and Modems; Basic concepts of signal processing and
digital filters.
Unit—VIII :
Characteristics of solid state power devices-SCR, Triac, UJT, Triggering circuits, converters,
choppers,inverters, converters. AC regulators, speed control of a.c. and d.c. motors. Stepper
and synchronous motors; Three phase controlled rectifier; Switch mode power supply;
Uninterrupted power supply.
Unit—IX :
Optical sources-LED, Spontaneous emission, Stimulated emission, Semiconductor Diode
LASER, Photodetectors-p-n photodiode, PIN photodiode, Phototransistors, Optocouplers,
Solar cells, Display devices. Optical Fibres-Light propagation in fibre, Types of fibre,
Characteristic parameters, Modes, Fibre splicing, Fibre optic communication systemcoupling
to and from the fibre, Modulation, Multiplexing and coding, Repeaters, Bandwidth
and Rise time budgets.
Unit—X :
Transducers-Resistance, Inductance Capacitance, Peizoelectric, Thermoelectric, Hall effect,
Photoelectric, Techogenerators, Measurement of displacement, velocity, acceleration, force,
torque, strain, speed and sound temperature, pressure, flow, humidity, thickness, pH, position.
Measuring Equipment-Measurement of R, L and C, Bridge and Potentiometers voltage,
current, power, energy, frequency/time, phase, DVMs, DMMs, CRO, Digital storage
oscilloscope, Logic probes, Logic State Analyser, Spectrum Analyzer, Recorder, Noise and
Interference in instrumentation, instrumentation amplifiers, Radio Telemetry, Analytical
Instruments-Biomedical instruments-ECG, blood pressure measurements,
spectrophotometers, Electron Microscope, X-ray diffractometer.
DSP: Basic DSP operations: Convolution, Correlation, Digital filters, discrete transformation
and modulation.
Unit—XI :
Open-loop and close-loop control system, Error amplifier, on-off controller, Proportional (P),
Proportional-Integral (PI). Proportional-Derivative (PD), PID controllers, Dynamic
Behaviour of control systems-servomechanism, characteristics parameters of control systems-
Accuracy, Sensitivity, Disturbances, Transient response, Stability, Routh-Huewitz criterion,
Bode plots, Nyquist criterion, Controlling speed, Temperature and position using
analog/digital control circuits.
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8
Biochemistry
1. Structure of pro and eukaryotic cells, Membrane structure and function, Intracellular
compartments, protein sorting, secretory and endocytic pathways, membrane
channels and pumps, ligand and voltage gated channels, Na/K pump.
2. Biochemistry of specialised tissues, biochemical basis of blood clotting, vision,
muscle contraction, nerve impulse transmission and hormone action.
3. Principles of toxicology – general classification and nature, definition and purpose of
toxicology, dose response relationship, synergism, antagonism, ED 50, LD 50, chronic
exposure.
4. Microbial fermentation, Antibotics, organic acids and vitamins, Microbes in
decomposition and recycling processes, Symbiotic and asymbiotic N2 - fixation,
Microbiology of water, air, soil and sewage, Microbes as pathological agents in
plants, animals and man.
5. Antigen : Structure and functions of different classes of immunoglobulins, Primary
and secondary immune response, Lymphocytes and accessory cells, Humoral and cell
mediated immunity, MHC, Mechanism of immune response and generation of
immunological diversity. Application of immunological techniques.
6. Enzyme kinetics (negative and positive cooperativity), Regulation of enzymatic
activity, Active sites, Coenzymes, Activators and inhibitors, isoenzymes, allosteric
enzymes, ribozyme, abzyme .
7. Van der Waal’s electrostatic, hydrogen bonding and hydrophobic interactions,
Primary structure of proteins and nucleic acids, Conformation of proteins and
polypeptides (secondary, tertiary, and quaternary structure), Ramachandran plot.
8. Glycolysis and TCA cycle, Glycogen breakdown and synthesis, Gluconeogenesis,
interconversion of hexoses and pentoses, Amino acid metabolism, Coordinated
control of metabolism.
9. Biosynthesis of purines and pyrimidines, Oxidation of lipids, Biosynthesis of fatty
acids, Triglycerides, Phospholipids, Sterols.
10. Energy metabolism (concept of free energy), Thermodynamic principles in biology,
Energy rich bonds, Weak interactions, Coupled reactions and oxidative
phosphorylations, Group tranfers, Biological energy tranducers, Bioenergetics.
11. The law of DNA constancy and C-value paradox, Numerical and structural changes in
chromosomes, Molecular basis of spontaneous and induced mutation and their role in
evolution.
12. DNA replication, amplification and rearrangements. Organization of transcriptional
units - Mechanism of transcription in prokaryotes and eukaryotes, RNA processing
(capping, polyadenylation, splicing, introns and exons), Ribonucleoproteins, Structure
of mRNA, Genetic code and protein synthesis, DNA damage and repair, Regulation
of gene expression in pro-and eukaryotes, Attenuation and antitermination, Operon
concept, DNA methylation, Transposition, Regulatory sequences and transcription
factors.
9
13. Lysogeny and lytic cycle in bacteriophages, Bacterial transformation, Host cell
restriction, Trasduction, Complementation, Molecular recombination, DNA ligases,
Topoisomerases, gyrases, Methylases, Nucleases, Restriction endonucleases,
Plasmids and bacteriophage based vectors, cloning, cDNA and genomic libraries, S1
Nuclease mapping, restriction mapping.
14. Cell and tissue culture in plants and animals, Primary culture, Cell line, Cell clones,
Callus cultures, Somaclonal variation, Micropropogation, Somatic embryogenesis,
Haploidy, Protoplast fusion and somatic hybridization, Cybrids, Gene transfer
methods in plants and in animals, Transgenic biology, Artificial seeds, Hybridoma
technology.
15. General aspects and sources of natural products, introduction to primary and
secondary metabolites, types of secondary metabolites, general properties,
physiological role and importance of alkaloids, saponins, steroids, terpenoids and
tannins.
16. Principles and application of light, phase contrast, fluorescence, scanning and
transmission electron microscopy, Cytophotometry and flow cytometry.
17. Principles and applications of gel-filtration, ion-exchange and affinity
chromatography, Thin layer and gas chromatography, High pressure liquid
chromatography (HPLC), Electrophoresis and electrofocussing, Ultracentrifugation
(velocity and buoyant density).
18. Principles and techniques of nucleic acid hybridization, Sequencing of proteins and
nucleic acids, Southern, Northern and South-Western blotting techniques, Polymerase
chain reaction.
19. Principles of biophysical methods used for analysis of biopolymer structure, X-ray
diffraction, fluorescence, UV, ORD/CD Visible, IR and NMR spectroscopy, Atomic
absorption spectroscopy.
20. Principles and applications of tracer techniques in biology, Radiation dosimetry,
Radioactive isotopes and half life of isotopes, Effect of radiation on biological system,
Autoradiography, Liquid scintillation spectroscopy.
21. Principles and practice of statistical methods in biological research, samples and
populations, Basic statistics — average, statistics of dispersion, coefficient of
variation, Standard error, Confidence limits, Probability distributions (binomial,
poisson and normal), Tests of statistical significance, Simple correlation of regression,
Analysis of variance.
22. IPR - Patents, Trade secrets, Copyrights, Trademarks and Geographical Indications,
IPR and Plant Genetic Resources (PGRs), ‘Sui Generis’ system, Plant Variety
Protection and UPOV, Plant variety protection in India, Plant breeders rights,
Biodiversity and farmer’s rights.
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10
Biotechnology
1. Structure, classification, genetics, reproduction and physiology of bacteria and viruses
(of bacteria, plants and animals), Mycoplasma protozoa and yeast, Virology : General
features, Capsids and their arrangements, Viriods and Prions, Lytic cycle and
lysogeny of Lambda, One step growth curve, phage typing, Life cycle of HIV and
Adeno viruses.
2. Structure and functions of different classes of immunoglobulins, Primary and
Secondary immune response, Lymphocytes and accessory cells, Humoral and cell
mediated immunity, MHC, Mechanism of immune response and generation of
immunological diversity; Genetic control of immune response, Application of
immunological techniques.
3. Enzyme kinetics (negative and positive cooperativity), Regulation of enzymatic
activity, Active sites, Coenzymes, Activators and inhibitors, isoenzymes, allosteric
enzymes, Ribozyme and abzyme.
4. Van der Waal’s electrostatic, hydrogen bonding and hydrophobic interactions,
Primary structure of proteins and nucleic acids, Conformation of proteins and
polypeptides (secondary, tertiary, and quanternary structure), Structure carbohydrates,
polysaccharides, glycoproteins and peptido-glycans.
5. Structure and organisation of membranes, Glyconjugates and proteins in membrane
systems, ion transport/Na/KATPase/Molecular basis of signal transduction in bacteria,
plants and animals, Model membranes, Liposomes.
6. Glycolysis and TCA cycle, Amino acid metabolism, Biosynthesis of purines and
pyrimidines, Oxidation of lipids, Biosynthesis of fatty acids, Triglycerides,
Phospholipids, Sterols, Energy metabolism (concept of free energy), Thermodynamic
principles in biology, Energy rich bonds, Weak interactions, Coupled reactions and
oxidative phosphorylations, Group tranfers, Bioenergetics.
7. DNA replication, amplification and rearrangements. Organization of transcriptional
units, Mechanism of transcription in prokaryotes and eukaryotes, RNA processing
(capping, polyadenylation, splicing, introns and exons), Ribonucleoproteins, Structure
of mRNA, Genetic code and protein synthesis, DNA damage and repair.
8. Regulation of gene expression in pro-and eukaryotes, Attenuation and
antitermination, Operon concept, DNA methylation, Transposition, Regulatory
sequences and transcription factors.
9. Genetic engineering concepts, Restriction endonucleases: types and mode of action,
Nucleases: exo- and endo-nucleases (DNAses, RNAses), DNA-ligases, Alkaline
phosphatases and DNA modifying enzymes, DNA and RNA marker, Host cells:
prokaryotic hosts and eukaryotic hosts.
10. Cloning and expression vectors: Choice of vectors, Plasmids, Cosmids, Artificial
chromosomes, Shuttle vectors and Phagemids, Ti and Ri plasmids: General features,
basis of tumor formation, mechanism of DNA transfer, role of virulence genes, use of
reporter genes, Vectors in human gene therapy (viral and non viral vectors),
Identification of Recombinant DNA (Direct and indirect methods).
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11. Techniques in Genetic Engineering: Restriction mapping of DNA fragments and map
construction, Blotting techniques - Southern, Northern, Dot and Western Blotting,
DNA sequencing - Maxam and Gilbert technique, Sanger’s dideooxynucleotide
method, automated DNA sequencing, Polymerase chain reaction - Principle, Types
and applications, Chemical synthesis of DNA.
12. Cell and tissue culture in plants and animals, Primary culture, Cell line, Cell clones,
Callus cultures, Somaclonal variation, Micropropogation, Somatic embryogenesis,
Haploidy, Protoplast fusion and somatic hybridization, Cybrids, Gene transfer
methods in plants and in animals, Transgenic biology, Artificial seeds, Hybridoma
technology.
13. Microbial fermentations: Production, recovery and applications of Ethanol, Glycerol,
Citric acid, L-Glutamic acid, L-Tryptophan, Vitamin-B12 and Riboflavin, Penicillin,
Streptomycin, Tetracyclines.
14. Microbial biotransformation - Basic concept involved, Types of bioconversion
reactions (Oxidation, Reduction, Hydrolytic reactions, Condensations),
Transformation of steroids and sterols, Transformation of nonsteroid compounds - LAscorbic
acid, Prostaglandins, Antibiotics.
15. Biodiversity and its Conservation : Alpha (α) and Beta (β) biodiversity, Extinction,
endangered species, Reasons of concern for loss of biodiversity, Steps to preserve
biodiversity, In situ and ex situ conservation and gene banks, Conventions on
biological diversity.
16. Environment and Energy: Fossil fuels - Non renewable sources of energy, Renewable
sources of energy – Biomass (Sources and utilization of biomass, Production of
biogas from biomass), Hydrogen (as a new biofuel, production of biohydrogen),
Energy rich crops, Biodiesel, Advantages of biofuels.
17. Principles and applications of gel-filtration, ion-exchange and affinity
chromatography, Thin layer and gas chromatography, High pressure liquid
chromatography (HPLC), Electrophoresis and electrofocussing, Differential
centrifugation, Density gradient centrifugation, Ultracentrifugation.
18. Principles and application of light, phase contrast, fluorescence, scanning and
transmission electron microscopy. Principles of biophysical methods used for
analysis of biopolymer structure, UV, Visible, IR and NMR spectroscopy, Atomic
absorption spectroscopy.
19. Principles and applications of tracer techniques in biology, Radiation dosimetry,
Radioactive isotopes and half life of isotopes, Effect of radiation on biological system,
Autoradiography; Liquid scintillation spectroscopy.
20. Drug Development Process: Concept of LD50 and ED50 and their significance,
Pharmacokinetics and Pharmacodynamics, Reproductive toxicity and Teratogenicity,
Mutagenicity, Carcinogenicity and other tests, Clinical trial design: Trial size and
study population.
21. Bioinformatics: Overview of various primary and secondary databases of protein and
nucleic acid sequences, Use of sequences to determine phylogenetic relationship,
Methods for searching sequence databases (FASTA and BLAST algorithms),
Statistical analysis and evaluation of BLAST results.
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22. Intellectual Property Rights : Patents, Trade secrets, Copyrights, Trademarks and
Geographical Indications, IPR and Plant Genetic Resources (PGRs), ‘Sui Generis’
system, Plant Variety Protection and UPOV, Plant variety protection in India, Plant
breeders rights, Biodiversity and farmer’s rights.
23. Principles and practice of statistical methods in biological research, samples and
populations; Basic statistics—average, statistics of dispersion, coefficient of variation,
Standard error, Confidence limits, Probability distributions (binomial, poisson and
normal); Tests of statistical significance, Simple correlation of regression, Analysis of
variance.
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13
Botany
1. Principles of taxonomy as applied to the systematics and classification of Plant Kingdom,
Taxonomic structure, Biosystematics, Plant geography, Floristics.
2. Patterns of variation in morphology and life history in plants, broad outlines of
classification and evolutionary trend among algae, fungi, bryophytes and pteridophytes,
Principles of palaeobotany, Economic importance of algae, fungi and lichens.
3. Comparative anatomy and developmental morphology of gymnosperms and angiosperms,
Histochemical and ultrastructural aspects of development, Differentiation and
morphogenesis.
4. Androegenesis and gynoegenesis, Breeding systems, Pollination biology, structural and
functional aspects of pollen and pistil, Male sterility, Self and inter-specific
incompatibility, Fertilization, Embryo and seed development.
5. Plants and civilization : Centres of origin, utilization, cultivation and improvement of
plants of food, drug, fibre and industrial values, Unexploited plants of potential economic
value, Plants as a source of renewable energy, Genetic resources and their conservation.
6. Water Relations, Mineral nutrition, Photosynthesis and photorespiration, Nitrogen,
Phosphorous and Sulphur metabolism, Stomatal physiology, Source and sink relationship.
7. Physiology and biochemistry of seed dormancy and germination, Hormonal regulation of
growth and development, Photo- regulation, Growth responses, Physiology of flowering,
Senescence.
8. Principles of plant breeding: Important conventional methods of breeding self and cross
pollinated and vegetatively propagated crops, Non-conventional methods, Polyploidy,
Genetic variability, Plant diseases and defensive mechanism.
9. Structure of pro- and eukaryotic cells, Membrane structure and function, Intracellular
compartments, Cytoskeleton, Ultrastructure of nucleus, mitochondria and chloroplasts,
cell cycle, Structural organisation of pro- and eukaryotic chromosome, polytene and
lampbrush chromosomes.
10. Interactions between environment and biota, Concept of habitat and ecological niches,
Limiting factors, Energy flow, food chain, food web and trophic levels, Ecological
pyramids, Biotic community concept, structure, dominance, fluctuation and succession,
N.P.C. and S Cycles in nature.
11. Ecosystem dynamics and management: Stability and complexity of ecosystems,
Speciation and extinction, Principles of conservation, Conservation strategies, Sustainable
development.
12. Physico-chemical properties of water, Kinds of aquatic habitats (fresh water and marine),
Distribution and impact of environmental factors on the aquatic biota, Productivity.
13. Structure, classification, genetics, reproduction and physiology of bacteria and viruses
(viruses of bacteria and plants), Mycoplasma and yeast (a general account).
14. Van der Waal’s electrostatic, hydrogen bonding and hydrophobic interactions, Primary
structure of proteins and nucleic acids, Conformation of proteins and polypeptides
(secondary, tertiary and quaternary structure), Ramachandran plot, Structure
carbohydrates, polysaccharides, glycoproteins and peptido-glycans.
14
15. Glycolysis and TCA cycle, Glycogen breakdown and synthesis, Amino acid metabolism,
Biosynthesis of purines and pyrimidines, Oxidation of lipids, Biosynthesis of fatty acids,
Triglycerides, Phospholipids, Sterols. Coupled reactions and oxidative phosphorylations.
16. Principles of Mendelian inheritance, structural organization of prokaryotic and eukaryotic
chromosome, Linkage and crossing over, Gene Structure and regulation of gene
expression, Fine structure of gene, coding and non-coding sequences, satellite DNA,
DNA replication, DNA damage and repair.
17. Mechanism of transcription in prokaryotes and eukaryotes, RNA processing (capping,
polyadenylation, splicing, introns and exons), Ribonucleoproteins, Structure of mRNA,
Genetic code and protein synthesis. Regulation of gene expression in pro-and eukaryotes,
Attenuation and antitermination, Operon concept, DNA methylation, Transposition,
Regulatory sequences and transcription factors.
18. The law of DNA constancy, Numerical and structural changes in chromosomes,
Molecular basis of spontaneous and induced mutation and their role in evolution.
19. Principles and methods of genetic engineering and Gene targeting, Application in
agriculture, health and industry.
20. Cell and tissue culture in plants, Callus cultures, Somaclonal variation, Micropropogation,
Somatic embryogenesis, Haploidy, Protoplast fusion and somatic hybridization, Cybrids,
Gene transfer methods in plants, Transgenic biology, Artificial seeds.
21. Principles and application of light, phase contrast, fluorescence, scanning and
transmission electron microscopy. Principles and applications of gel-filtration, ionexchange
and affinity chromatography, Thin layer and gas chromatography, High
pressure liquid chromatography (HPLC), Electrophoresis and Ultracentrifugation
(velocity and buoyant density).
22. Principles and techniques of nucleic acid hybridization, Sequencing of proteins and
nucleic acids, Southern, Northern and South-Western blotting techniques, Polymerase
chain reaction.
23. Principles and applications of tracer techniques in biology, Radioactive isotopes and half
life of isotopes, Effect of radiation on biological system, Autoradiography.
*********
15
Microbiology
1. Prokaryotic and eukaryotic cellular organization: Structure of bacterial
(proteobacteria and archaebacteria), fungal and algal cells, classification, reproduction,
Cell wall, intracellular and extracellular components, biochemical shuttles across
mitochondrial membrane, structure and function of cytoskeleton, its role in motility,
protein trafficking, cell membrane structure, model, lipid bilayer, membrane
composition, hydropathy plots, intracellular compartments, cellular transport, ion
channels and pumps, P and F type ATPases, group transfer and translocation, economic
importance.
2. Virus: Structure of plant, animal, bacterial viruses, classification, strategies for
cultivation and assays, identification, and virus-host interactions, viroids, satellite
viruses and satellite RNAs, prions and viral diseases, process of infection (DNA and
RNA viruses).
3. Bacterial taxonomy: Nomenclature, structural and biochemical systematic, numerical
taxonomy, phylogenetic, chemotaxonomy, Bergey’s Manual (8, 9th edn., vol. I- IV),
microbial biodiversity.
4. Microbial physiology: Cell division, Growth pattern, diauxic growth, synchronous and
continuous culture, growth kinetics, stress response, Nutrition, physiology of motility
and bioluminescence, Bacterial chemotaxis, Quorum sensing, physiology of
methanogens and extremophiles, physical and chemical methods of microbial growth.
5. Molecules and basic biochemistry: Structure of atoms, molecules and chemical bonds,
Composition, structure and function of biomolecules (carbohydrates, lipids, proteins,
nucleic acids and vitamins), Stablizing interactions (Van der Waals, electrostatic,
hydrogen bonding, hydrophobic interaction, etc.), Principles of biophysical chemistry
(pH, buffer, reaction kinetics, thermodynamics, colligative properties), Conformation of
proteins and its Reverse turns, Ramachandran plot, domains, motifs and folds,
Structural polymorphism of DNA, DNA topology, RNA and two-dimensional structure
of tRNA, micro-RNA, Structure polysaccharides, glycoproteins and peptido-glycans,
Helix-coil transition, Energy terms in biopolymer conformational calculation.
6. Microbial enzymes: Enzyme kinetics (negative and positive cooperativity),
purification, Immobilized enzymes, Enzyme applications, Principles of catalysis,
Mechanism of enzyme catalysis, Regulation of enzymatic activity, Active sites,
Coenzymes, Activators and inhibitors, isoenzymes, allosteric enzymes, Hill’s plot,
Ribozyme and abzyme, Non-aqeuous enzymology.
7. Microbial metabolism: Glycolysis, pentose phosphate pathway and TCA cycle,
Glycogen breakdown, synthesis and regulation, Gluconeogenesis, interconversion of
hexoses and pentoses, peripheral metabolism, Amino acid metabolism, Co-ordinated
control of metabolism, Biosynthesis of purines and pyrimidines, Oxidation of lipids,
Biosynthesis of fatty acids, Triglycerides, Phospholipids, Sterols.
8. Energy metabolism: Concept of free energy, Thermodynamic aspect, Energy rich
bonds, Weak interactions, Coupled reactions and oxidative phosphorylations, inhibitors
and uncouplers of ETC, ATP structure and cycles, Mitochondrial and bacterial ETC,
Reverse ETC, Nitrogen metabolism, Autotrophic metabolism, Carbon dioxide fixation
pathways, Bacterial photosynthesis and photo-phosphorylation, Anaerobic respiration
and methanogenesis.
16
9. Microbial genetics: DNA replication, Mutation, Mutation rate, Site directed
mutagenesis, Repair, Gene transfer in bacteria (transformation, transduction,
conjugation, transfection nad sex duction) and fungi (parasexual cycle), Molecular
recombination mechanism, Genetic map, Restriction modification systems, plasmid and
bacteriophage genetics, Lysogeny and lytic cycle in bacteriophages, transposons,
structural and numerical alterations of chromosomes (ploidy, deletion, inversion,
translocation).
10. Molecular biology: Fine structure of gene, prokaryotic and eukaryotic genome
organisation (structure of chromatin, coding and non-coding sequences, satellite DNA),
DNA damage and repair, DNA replication, amplification and rearrangements.
11. Organization of transcriptional units: Mechanism of transcription of prokaryotes and
eukaryotes, transcription activators and repressors, RNA polymerases, RNA processing
(capping, polyadenylation, splicing, introns and exons), RNA editing, RNA transport,
Ribonucleo-proteins, mRNA. Protein synthesis and processing: Ribosome, formation of
initiation complex, initiation factors and their regulation, elongation and elongation
factors, termination, genetic code, aminoacylation of tRNA, tRNA-identity, aminoacyl
tRNA synthetase, translational proof-reading, translational inhibitors, post- translational
modification of proteins, protein targeting and degradation.
12. Regulation of gene expression: Pro-and eukaryotes, Attenuation and anti-termination,
Operon concept, DNA methylation, Heterochromatization, Transposition, Regulatory
sequences and transcription factors, Role of chromatin in regulating gene expression
and gene silencing, Environmental regulation of gene expression.
13. Genetic engineering: Principles and methods of genetic engineering and Gene
targeting, Molecular tools, Plasmids and bacteriophage based vectors for cDNA and
genomic libraries, cloning strategies in prokaryotic and eukaryotic, rDNA screening,
analysis and confirmation, metabolic engineering and metabolomics, applications in
agriculture, health and industry.
14. Bioinformatics: Data mining, Sequence analysis tools, Concept of microbial genomics,
High throughput cloning of ORFs, DNA microarray, metagenomics, protein genomics,
sequencing, folding and experimental approach to protein-protein interactions.
15. Microbial fermentation: Design aspects, construction, kinetics and applications of
bioreactors, Aeration, agitation, fermentation broth rheology, various process variables,
Medium engineering, Production of therapeutic antibotics, clinical dextran, organic
acids, nucleotides, biopolymers, biomass (SCP, mushrooms), vitamins, biogas,
bioethanol, biosurfactants, β-carotene, SK, SD, amylase and protease, and, vaccines.
Drug design and microbial quality control, validation aspects in pharmaceutical
products.
16. Applied environmental aspects: Microbes in food production, prevention of food
spoilage and food borne illness, Role decomposition and recycling processes,
Microbiology of water, air, soil and sewage, Microbes as pathological agents in animals
and man, Waste water treatment, Bioremediation, Phytoremediation, Biofertilizer and
Bioinsecticides.
17
17. Microbial ecology: Basic concept of habitat and Ecological niche, Interactions between
environment and biota, Limiting factors, Energy flow, food chain, food web and trophic
levels, Ecological pyramids and recycling, Biotic community-concept, structure,
dominance, fluctuation and succession, Microbial communities and methods to
quantitate microbial communities, Microbial interactions with plant roots (Rhizosphere
and miycorhizhae) and aerial structure (phyllosphere), Pathogenic interactions with
plants, Agrobacterium genetics.
18. Innate and adaptive immune system: Cells and molecules involved in innate and
adaptive immunity, antigens, antigenicity and immunogenicity, Lymphocytes and
accessory cells, B and T cell epitopes, structure and function of antibody molecules,
Antibody generation and antibody diversity, monoclonal antibodies, antibody
engineering, antigen-antibody interactions, MHC molecules, antigen processing and
presentation, activation and differentiation of B and T cells, B and T cell receptors,
humoral and cell- mediated immune responses, Genetic control of immune response,
Primary and secondary immune modulation, the complement system, Toll-like
receptors, cell-mediated effector functions, inflammation, hypersensitivity and
autoimmunity, immune response during bacterial (tuberculosis), parasitic (malaria),
viral (HIV) infections and cancer, Congenital and acquired immune-deficiencies and
vaccines, Detection of antibody molecules using ELISA, RIA, western blot,
immunoprecipitation, flow cytometry and immune-fluorescence microscopy, detection
of molecules in living cells, in situ localization by techniques such as FISH and GISH.
19. Microscopic techniques: Visulization of cells and subcellular components by light
microscopy, resolving powers of different microscopes, staining techniques,
microscopy of living cells, Principles of light and electron (scanning and transmission)
microscopes, different fixation and staining techniques for EM, freeze-etch and freezefracture
methods for EM, image processing methods in microscopy.
20. Seperation techniques: Principles and applications of gel-filtration, ion-exchange and
affinity chromatography, Thin layer and gas chromatography, High pressure liquid
chromatography (HPLC), Electrophoresis and electrofocussing, Ultracentrifugation
(velocity and buoyant density).
21. Molecular biology techniques: Principles and techniques of nucleic acid hybridization
and Cot curves, Sequencing of proteins and nucleic acids, Southern, Northern and
South-Western blotting techniques, Polymerase chain reaction, Methods for measuring
nucleic acid and protein interactions.
22. Biophysical methods: Principles of biophysical methods used for analysis of
biopolymer structure, X-ray diffraction, fluorescence, UV, ORD/CD Visible, NMR and
ESR spectroscopy, Hydrodynamic methods, Atomic absorption and plasma emission
spectroscopy.
23. Biostatistics: Principles and practice of statistical methods in biological research,
samples and populations; Basic statistics: average, statistics of dispersion, coefficient of
variation, Standard error, Confidence limits, Probability distributions (biomial, poisson
and normal); Tests of statistical significance, Simple correlation of regression, Analysis
of variance.
********
18
Zoology
1. Biodiversity and Taxonomy : Species concept, Biological nomenclature theories of
biological classification, Structural biochemical and molecular systematics, DNA
finger printing, numerical taxonomy, Biodiveristy, characterization, generation,
maintenance and loss, Magnitude and distribution of biodiversity, economic value,
wildlife biology, conservation strategies.
2. Animal behaviour: Feeding, learning, social and sexual behaviour of animals,
Parental care, Circadian rhythms, Mimicry, Migration of fishes and birds,
Sociobiology.
3. Parasitology: Important human and veterinary parasites (protozoans and helminths),
Life cycle and biology of Plasmodium, Trypanosoma, Ascaris, Wuchereria,
Fasciola,Schistosoma and Leishmania, Molecular, cellular and physiological basis of
host-parasite interactions.
4. Entomology: Arthropods and vectors of human diseases (mosquitoes, lice, flies, and
ticks), Mode of transmission of pathogens by vectors, Chemical biological and
environmental control of arthropod vectors, Biology and control of important insect
pests of agricultural importance, Plant host-insect interaction, insect-pest
management, useful insects, Silkworm.
5. Fisheries: Fish and Fisheries in India with respect to the management of fresh water,
estuarine, coastal water systems and man-made reservoirs, Fish food value,
preservation, and marketing.
6. Evolutionary biology : Origin of life (including aspects of prebiotic environment and
molecular evolution), Concepts of evolution, Theories of organic evolution,
Mechanisms of speciation, Hardy-Weinberg genetic equilibrium, genetic
polymorphism and selection, Origin and evolution of economically important
microbes, plants and animals.
7. Environmental biology : Concept and dynamics of ecosystem, components, food
chain and energy flow, productivity and biogeochemical cycles, Types of ecosystems,
Population ecology and biological control, Community structure and organisation,
Environmental pollution, Sustainable development, Economic importance of
microbes, plants and animals.
8. Physiology: Thermoregulation, digestion, respiration, circulation, excretion,
Physiology of reproduction, Nervous system, CNS, Neuro-endocrinology, Types of
endocrine glands, classification of hormones, mechanism of their action, Stress and
adaptation.
9. Cell Biology: Structure and function of cells and intracellular organelles (of both
prokaryotes and eukaryotes), Mechanism of cell division (mitosis and meiosis) and
cell differentiation; Cell-cell interaction, Malignant growth, Immune cells, Structure
of prokaryotic and eukaryotic cell, Membrane structure and function, Intracellular
compartments, protein sorting, secretory and endocytic pathways, Cytoskeleton,
Nucleus, Mitochondria and chloroplasts and their genetic organisation, cell cycle,
Structure and organisation of chromatin, polytene and lamphrush chromosomes,
Biochemistry and molecular biology of cancer, Oncogenes, Chemical carcinogenesis.
19
10. Biochemistry : Structure of atoms, molecules and chemical bonds, Principles of
physical chemistry, Thermodynamics, kinetics, dissociation and association constants,
Van der Waal’s electrostatic, hydrogen bonding and hydrophobic interactions,
Structure, function and metabolism of carbohydrates, lipids and proteins, Enzymes
and coenzyme, Respiration and photosynthesis, Enzyme kinetics (negative and
positive cooperativity), Regulation of enzymatic activity, Active sites, Coenzymes,
Activators and inhibitors, Isoenzymes, Allosteric enzymes, Ribozyme and Abzyme.
11. Metabolism: Glycolysis and TCA cycle, Glycogen breakdown and synthesis,
Gluconeogenesis, interconversion of hexoses and pentoses, Amino acid metabolism,
Coordinated control of metabolism, Biosynthesis of purines and pyrimidines,
Oxidation of lipids, Biosynthesis of fatty acids, Triglycerides, Phospholipids,
Sterols.Energy metabolism (concept of free energy), Thermodynamic principles in
biology, Energy rich bonds, Weak interactions, Coupled reactions and oxidative
phosphorylations, Group transfers, Bioenergetics.
12. Genetics : Principles of Mendelian inheritance, chromosome structure and function,
Linkage and genetic mapping, Extrachromosomal inheritance (episomes,
mitochondria and chloroplasts), chromosome aberrations, Transposons, Sex-linked
inheritance and genetic disorders, Somatic cell genetics, Genetic and metabolic
disorders, Hormonal imbalances, Drug metabolism and detoxification, Genetic load
and genetic counselling.
13. Molecular Biology: The law of DNA constancy and C-value paradox, Numerical
changes in chromosomes, Prokaryotic genome organization, Eukaryotic genome
organisation (structure of chromatin, coding and non-coding sequences, satellite
DNA), Fine structure of gene, DNA replication, amplification and rearrangements,
DNA damage and repair.
14. Organization of transcriptional units: Mechanism of transcription of prokaryotes
and eukaryotes, RNA processing , Ribonucleoproteins, Structure of mRNA, Genetic
code and protein synthesis. Regulation of gene expression in pro-and eukaryotes,
Attenuation and antitermination, Operon concept, DNA methylation, Transposition,
Regulatory sequences and transcription factors, Genomics, Proteomics.
15. Recombinant DNA technology: Principles and methods of genetic engineering and
Gene targeting, DNA ligases, Topoisomerases, Gyrases, Methylases, Nucleases,
Restriction endonucleases, Plasmids and bacteriophage based vectors, cDNA and
genomic libraries. Applications of recombinant DNA technology in agriculture,
health, pharmaceutical and other industry. Cell and tissue culture in plants and
animals, Primary culture, Cell line, Cell clones, Callus cultures, Transgenic biology.
16. Developmental Biology: Gametogenesis in animals , Molecular events during
fertilization,Cleavage patterns and fatemaps, Concepts of determination, competence
and induction,totipotency and nuclear transfer experiments, Cell differentiation and
differential gene activity. Morphogenetic determinants in egg cytoplasm, Role of
maternal contributions in early embryonic development, Genetic regulation of early
embryonic development in Drosophila.
17. Immunology: Antigens, Structure and functions of different classes of
immunoglobulins, Primary and secondary immune response, Lymphocytes and
accessory cells, Humoral and cell mediated immunity, MHC, Mechanism of immune
response and generation of immunological diversity; Genetic control of immune
response, Application of immunological techniques.
20
18. Microscopy: Principles and applications of light, phase contrast, fluorescence,
scanning and transmission electron microscopy, Cytophotometry and flow cytometry,
Principles of histology and histochemistry.
19. Separation techniques: Principles and applications of gel-filtration, ion-exchange
and affinity chromatography, Thin layer and gas chromatography, High pressure
liquid chromatography (HPLC), Electrophoresis and electrofocusing,
Ultracentrifugation (velocity and buoyant density).
20. Techniques in Molecular Biology: Principles and techniques of nucleic acid
hybridization and Cot curves, Sequencing of proteins and nucleic acids, Southern,
Northern and South-Western blotting, Polymerase chain reaction, Methods for
measuring nucleic acid and protein interactions.
21. Characterization of biomolecules: Principles of biophysical methods used for
analysis of biopolymer structure, X-ray diffraction, fluorescence, UV, ORD/CD
Visible, NMR and ESR spectroscopy, Atomic absorption spectroscopy.
22. Radiobiochemistry: Principles and applications of tracer techniques in biology,
Radiation dosimetry, Radioactive isotopes and half life of isotopes, Effect of radiation
on biological system, Autoradiography, Cerenkov radiation, Liquid scintillation
spectroscopy.
23. Animal tissue culture: Principles, significance, scope of animal tissue culture,
establishment of cell lines, organ culture methods, behaviour of organ explants,
transplants and cell hybridization.
24. Biostatistics: Principles and practice of statistical methods in biological research,
samples and populations; average, statistics of dispersion, coefficient of variation,
Standard error, Confidence limits, Probability distributions (binomial, Poisson and
normal);Tests of statistical significance, Simple correlation of regression, Analysis of
variance.
*********
21
Mathematics
UNIT – 1 :
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 Boreltheorem.
Continuity, uniform continuity, differentiability, mean value theorem.Sequences and series of
functions, uniform convergence. Riemann sums and Riemann integral, Improper Integrals.
Monotonic functions, Lebesgue measure, Lebesgue integral.Functions of several variables,
directional derivative, partial derivative, derivative as a linear transformation. Metric spaces,
compactness, connectedness. Normed Linear Spaces. Spaces of Continuous functions as
examples.
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.
UNIT – 2 :
Linear Algebra: Vector spaces, subspaces, linear dependence, basis, dimension, algebra of
linear transformations. 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.
Number Theory: 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.
Algebra: 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.
UNIT – 3 :
Differential Equations: 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, Series solution. First and second order partial differential equations.
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
equations.
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
interpolation, Numerical differentiation and integration, Numerical solutions of ODEs using
Picard, Euler and Runge-Kutta methods.
*******
22
Statistics
1. Mathematical Methods :
Countability, supremum and infimum of sets of real numbers. Limit point of a set –
open sets, closed sets etc. (developed through general metric space and Rn being
considered as a special case), compactness. Continuous functions, uniform continuity,
absolute continuity. Sequences and series of real numbers, limit superior, limit
inferior and limit of a sequence. Cauchy sequences, convergence of series, tests for
convergence of series, absolute convergence, Cauchy products.
Algebra of Matrices, Linear Systems of Equations, Eigen Values and Quadratic
Forms.
2. Sample Surveys :
Objectives of sample survey, planning for sample survey. Basic issue related to
estimation [biased and unbiased estimator, mean square error (MSE)] and confidence
interval, Concept of sampling distribution of statistic, Sampling and non-sampling
errors.
Simple random sampling with and without replacement, Systematic sampling and
related results on estimation of population total, mean and proportion, Stratified
sampling, Formation of strata and number of strata, Allocation problems and
estimation problems.
Inclusion probabilities, Horwitz-Thompson estimator and its properties, PPSWR,
PPSWOR methods (including Lahiri's scheme) and related estimators of a finite
population mean, Midzuno sampling design, πps design, Ratio and Regression
estimators based on SRSWOR method of sampling, Their properties and MSEs,
Cluster sampling, Estimator of population mean and its properties, Two-stage
sampling with equal number of second stage units, Double sampling and its uses in
ratio and regression estimation.
3. Probability Distributions :
M.g.f., p.g.f., c.g.f., characteristic function of random variables, Moments: raw
moments, Central moments, Factorial moments, Joint p.m.f. of discrete random
variables, Joint p.d.f. of continuous random variables, Marginal and conditional
density using joint density, Conditional expectation and variance, Independence of
random variables, Bivariate exponential distribution: joint p.d.f., Marginal p.d.f.s,
properties, Multivariate normal distribution: joint p.d.f., Marginal p.d.f., Conditional
p.d.f., Joint m.g.f., Multinomial distribution: joint p.m.f., Marginal p.m.f., Conditional
p.m.f., Joint m.g.f., Function of random variables, Joint density of functions of
random variables using Jacobian of transformation, Convolution of random variables.
Linear and multiple regression, Regression Function, Best linear regression function,
Multiple and Partial Correlation, Sampling distribution of statistics from univariate
normal random sample, Non-central Chi-square, t and F- distributions and their
properties, Distribution of linear and quadratic forms in i.i.d. Standard normal
variables (Technique based on m.g.f.), Independence of two linear forms,
Independence of two quadratic forms and independence of linear form and quadratic
form, Fisher Cochran's theorem, Distribution of rth order statistics, Joint distribution
23
of several order statistics and their functions, Distribution of function of order
statistics, Extreme values and their asymptotic distributions with applications.
4. Probability Theory :
Algebra of sets, fields and Sigma-fields ( -fields), Minimal fields, Minimal -field,
limit of sequences of subsets, sigma-field generated by a class of subsets, Borel fields.
Probability measure on a sigma-field, probability space, continuity of a probability
measure, real and vector-valued random variables (r. v. s), distribution functions (d.
f.), discrete r. v. s, r. v. s of the continuous type, decomposition of a d. f. Expectation
of a real r. v. Linear properties of expectations. Characteristic functions and their
simple properties. Convergence of a sequence of r. v. s., convergence in distribution,
convergence in probability, almost sure convergence and convergence in quadratic
mean and their interrelations. Monotone convergence theorem and dominated
convergence theorem.
Independence of two events and n (> 2) events, sequence of independent events,
independent classes of events, independence of r. v.s, Borel zero-one law, Khintchin's
weak law of large numbers, Kolmogorov strong law of large numbers, continuity
theorem for characteristic functions, Lindeberg's CLT.
5. Stochastic Processes :
Markov chains with stationary transition probabilities, properties of transition
functions, classification of states, Stationary distribution of a Markov chain, existence
and uniqueness, convergence to the stationary distribution. Methods based on Markov
chains for simulation of random vectors. MCMC algorithm. Gambler’s ruin problem,
Transient states. Estimation of transition probabilities. Numerical Illustrations and
calculations of transition probabilities. Branching processes. Introduction to Wiener
Process and Brownian Motion. Poisson process, Birth and Death processes. Finite
state continuous time Markov chains. Simple queuing systems, Stationary solution for
using birth and death process approach. Estimation of
transition probabilities, estimation of functions of transition probabilities in Markov
chains.
6. Multivariate Analysis :
Singular and nonsingular Multivariate normal distribution, pdf and mgf, singular and
nonsingular normal distributions, distribution of a linear form and a quadratic form of
normal variables, marginal and conditional distributions. Multiple regression and
multiple and partial correlation coefficients, Definition and relationships. MLE's of
the parameters of multivariate normal distribution and their sampling distributions
Wishart distribution, Properties of the Wishart Distribution. Tests of hypothesis about
the mean vector of a multinormal population, Hotelling's -statistic; Rao's U-statistic
and their distribution, Applications of Hotelling's -statistic.
Introduction to Principle Components, Canonical correlation coefficients, Cluster
Analysis. Classification problem, Discriminant analysis, Mahalanobis -statistic.
MANOVA for one way and two ways classified data, Wilk's criteria.
24
7. Statistical Inference :
Sufficiency, completeness, uniformly minimum variance unbiased estimators, C-R
inequalities, exponential class of densities and its properties, some special classes of
distributions admitting complete sufficient statistics, extensions of these results to
multi-parameter situation. Test function, Neyman-Pearson lemma for test functions.
Uniformly most powerful tests for one sided alternative for one parameter exponential
class of densities and extension to the distributions having monotone likelihood ratio
property. Confidence Intervals, shortest expected length confidence intervals,
relations with testing of hypotheses, uniformly most accurate confidence intervals.
Consistency and asymptotic normality (CAN) of real and vector parameters,
Invariance of consistency under continuous transformation. Invariance of CAN
estimators under differentiable transformations, generation of CAN estimators using
central limit theorem. Non Parametric Tests.
8. Linear Models and Design of Experiments :
Gauss-Markov set up, Least square estimation, Estimability of linear parametric
function, necessary and sufficient condition for estimability, Best Linear Unbiased
Estimator (BLUE), Gauss-Markov theorem, Variances and covariances of BLUE's.
Estimation space, Error space, their ranks, Simultaneous estimates of linear
parametric function, Estimation of error variance, Estimation with correlated
observations, Least square estimates with restriction on parameters, Method of
generalized least squares, Distribution of error sum of squares and Regression sum of
squares, distribution of BLUE's, their independence (Under the normality
assumption), Distribution of conditional error sum of squares, Distribution of sum of
squares due to null hypothesis, Test of hypothesis for one or more than one estimable
linear parametric function, Test of hypothesis of equality of all estimable functions to
zero, Testing of sub hypothesis for full rank model, Power of F-test, Simultaneous
confidence interval for n linearly independent estimable parametric functions, One
way and two way classified data.
One way classification models, random effect model for one way classification, Two
way classification model with equal number of observations per cell with and without
interactions, General two way block designs, various characteristics of general two
way block design: connectedness, balancedness and orthogonality, Balanced
Incomplete Block Design (BIBD). k 2 full factorial designs, analysis of single as well
as more than one replicates using ANOVA, technique of confounding, total and
partial confounding in k 2 full factorial designs.
*******
25
Industrial Chemistry
1) Unit Processes in Organic Synthesis
a) Amination– Liquor ammonia, metal-acid reductions, manufacture of aniline
by reduction of nitrobenzene.
b) Alkylation –Alkylating agents, manufacture of ethyl benzene.
c) Oxidation – Liquid phase oxidation, technical oxidation of benzene.
d) Esterification –Interesterification, manufacture of cellulose acetate.
e) Hydrogenation – Types of hydrogenation reactions, hydrogenation of fatty
oils.
2) Industrial Organic Chemistry
a) Dyes – Valance bond and molecular orbital theories, synthesis of Fast Red A
and Rosaniline.
b) Paints and Pigments – Definition, classification, manufacture of Tio2 by
sulphate and chloride methods.
c) Oil and Oleochemical Industries – Definition, characterization and
classification of oils, acid/sap/iodine values of oils, manufacture of soaps.
d) Fermentation – Manufacture of chloramphenicol and penicillin.
3) Pharmaceutical Chemistry
a) Antibiotics – Definition, classification, examples.
b) Anti AIDS/HIV – Definition and drugs.
c) Cancer therapy – Types of cancers and therapies.
d) Synthesis of prazasin, methyldopa and benzocane.
e) Manufacture of aspirin.
4) Agrochemical Industry
a) Agrochemicals and Pesticides – Definition, classification, nomenclature,
principles of pest control.
b) Formulation of pesticides – Definition, types, a.i., EC, solvents, Granules,
Direct impregnation method.
c) Chemistry of pesticides – phorate, captan, terbufos, warfarin, DEET,
metaldehyde.
5) Industrial Polymers
a) Polymers and polymerizations – Definition, types.
b) Chemistry, technology of production, properties and applications of phenol- formaldehyde based resins, epoxy resins and curing agents, polyamides,
polyolefins, acrylics, polyvinyls and co-polymers.
6) Industrial Waste, Hazards and Management
a) Chemical industry hazards and prevention – flammability, explosion, ignition,
pressure, temperature, noise.
26
b) Green chemistry – Introduction and importance, twelve principles,
environmentally benign synthetic approaches (polymer
supported/microwave/ionic liquids mediated organic syntheses).
c) Industrial management – Meaning of planning, organizing, directing and
controlling, entrepreneurship and factors affecting entrepreneurship
* * * * *
27
Pesticides & Agrochemicals
1. Introduction to pests (agriculture and public health pests), pesticides (classification,
nomenclature, principles of pest control) & IPM concept.
2. I) Introduction & chemistry of pesticides :
a) Insecticides – Decamethrin , Propaxor
b) Fungicides – Captan, Carbendazim
c) Rodenticides – Bromadiolone, Zinc phosphide
d) Nematicides – Aldicarb, Diazinon
e) Fumigants – Methyl bromide, Ethylene dibromide
f) Repellents – DEET, DMP
II) Manufacture of Lindane, Parathion, Phorate, 2, 4-D.
3. Formulation of pesticides – Introduction, a.i., necessity and types of formulation,
technical process for preparation of granules,(Direct impregnation, Extrusion,
agglomeration) and emulsifiable concentrates; Controlled release formulations
(microcapsulation and chemical systems).
4. Fertilizers – Synthetic fertilizers (urea, triple super phosphate, potassium nitrate,
potassium chloride), fluid fertilizers (nitrogenous fluids), soil amendments, fertility
management.
5. Herbicides & PGRs- Introduction, chemistry of herbicides (2,4-D, dicamba, propanil,
simazine) & PGRs (daminozide, IAA, tecnazene, chloramequat chloride).
6. Pesticide Residues & Toxicology- Introduction, effect of residues on human life, birds,
animals, basic principles of toxicology (exposure routes, interactions, dose response
relationships, GLP for toxicity studies ), toxicology of organophosphates and carbamates
(signs and symptoms of poisoning, biotransformation, cholinesterase inhibition action
and antidote mechanisms).
******
28
Polymer Chemistry
1. Polymers:
Basic concepts and definition:- Polymer, Degree of polymerization, functionality,
Classification of polymers:- Thermoplastic and Thermosets, Step growth and Chain
polymers, natural and synthetic polymers, Plastics/Fibers/Elastomers/Resins,
Methods of polymerization and kinetics:-Free radical chain polymerization, cationic
polymerization, anionic polymerization, co-ordination polymerization,
Step growth polymers and Kinetics:- Concept of equal reactivity, Catalyzed and
Uncatalyzed step polymerization of polyester, Carother’s equation,
Techniques of polymerization:- Bulk, Solution, Suspension, Emulsion and Interfacial
polymerization,
2. Polymer Characterization:
1. Analysis of polymers- Chemical (elemental), Flame test, Colour and solubility
test.
2. Number and weight average molecular weights and their determinations.
3. Thermal behavior and analysis (DTA, DSC, TGA, TMA) of polymers,
applications of these techniques.
4. Viscoelastic behavior of polymers, factors affecting viscoelastic behavior,
applications and measurement of viscoelastic properties (by DMA).
3. Processing of polymers :
Processing of plastics, elastomers, fibers, paints and varnishes, compounding,
extrusion techniques and processes based on extrusion, injection moulding and
processes based on injection moulding, compression moulding and transfer moulding.
4. Structure and properties of polymers:
Glass transition temperature and its determination, Tacticity of polymer chains,
Estimation of crystallinity: – XRD, Densities, Heat of fusion.
5. Preparation, Properties and Applications of commercial polymers:
PE, PVC, Polyamides, PET, epoxy resin, silicon polymers.
6. Additives for polymers:
Fillers, plasticizers, lubricants, antiaging additives, flame retarders, colourants, blowing
agents, cross linking agents.
*******
29
Physical Chemistry
1) Quantum Chemistry :
Plansks theory, wave particle duality, uncertainty principle, postulates of quantum
mechanics, Schrodinger equation, particle in a box, operators, harmonic Oscillator,
rigid rotator, hydrogen atom and emission spectrum of hydrogen atom. Variation
principle and Hiickel approximation for conjugated dienes. Term symbols, selection
rules and spectroscopic states. Theoretical treatment of rotational, vibrational
electronic and spin spectroscopies.
2
) Thermodynamics and Chemical Equilibrium :
Second and third laws of thermodynamics, Entropy and force energy. Free energy
functions, Maxwells relations phase equilibrium and rule. Effect of temperature and
pressure on equilibrium constant, Le-chateliars principle. The chemical potential and
chemical equilibrium. Fugacity and activity, Partial molar quantities, Solubility of
gases in liquids. Phase diagrams, Osmotic pressure, Determination of activity
coefficients.
3) Statistical Thermodynamics :
Ensembles partition function, Translational, Vibrational, rotational partition functions.
Entropy calculations. Boltzmam, Bose Einstein and Fermi-Diral Statistics, Heat
capacities of Solids. Einstein and Debye theories, Equilibrium Constant Calculations.
4) Chemical Kinetics :
Types of reactions, Opposing reactions, Consecutive reactions, Parallel reactions,
Chain reactions. Temperature dependence of reaction rates, collision theory,
Activated Complex theory of reaction rates, Reactions in solution, Diffusion
controlled reactions. Acid-Base catalysis, Enzyme catalysis. Fast reactions,
Relaxation methods to study rates of reactions.
5) Electrochemistry :
Ion activities and mean ionic activity coefficients, Diffusion and ionic mobility,
Debye Hiickel theory, limiting law. Electrode kinetics, polarization, The Tafel
equation, Diffusion Over potential, Fuel cells.
6) Surfaces and colloids :
Surface tension, Capillarity, Insoluble surface films, Structure of surface films,
Surfactants and micelles, Cell membranes, colloidal sols – particle size distribution.
Electrical double layer, Stability of Colloids, Emulsions.
7) Nuclear Chemistry and solid State :
30
Nuclear reactions, Nuclear models, the shell model and liquid drop model,
Radioactive decay and equilibrium, Q-value, fission and fusion, Bethe’s notation for
nuclear reactions, Compound nuclear theory, The fission energy, The four factor
formula, Breeder reactors.
The Bond model of solids, Closest packing of spheres, ionic crystals, Crystal energies.
radius ratio rule. Insulators and semiconductors. Defects in solids, point and line
defects. Effects due to dislocations. Solid solutions. Superconductivity
*******
31
Organic Chemistry
1) Aromaticity – Huckel’s rule & concept of aromaticity (n) annulenes & heteroannulenes
Fullerenes.
2) Stereochemistry & Confirmational Analysis :
(a) Never Method of asymmetric synthesis (including Enzymatic & Catalytic nexus) Enantio
& diastereo selective synthesis, Effects of confirmation on reactivity in acyclic
compounds & Cyclohexanes.
(b) CD & ORD
3) Name Reactions :
Favorskii reaction, Stone Enamine reaction, Michael addition, mannich reaction,
Sharpless asymmetric, Epoxidation, Ene reaction, Bartin reaction, Hofmann-Loffler
Freytag reaction, Shapiro reaction, Baeyer-villiger reaction, Suzuki Coupling, Still
Coupling, Sonogashira Coupling, Buckhwald Coupling, Biginelli reaction.
4) Pericyclic Reactions :
Selection rules & Stereochemistry of Electrocyclic reactions, Cycloaddition &
Sigmatropic Shifts, Sommelet, Hauser, Cope & Claisen rearrangements
5) Photochemistry :
Cis-trans isomensation paterno Buchi reactions Nomish Type I & II reactions,
photoreduction of ketons Oli-pi methane reamangement, Photochemistry of arenes.
6) Heterocyclic Chemistry :
Synthesis & heactivity of foran, thiophene, pyrrole, quinoine & isoquinoline & indole,
Skraup Synthesis, fisher indole synthesis.
7) Reagents in Organic Synthesis :
Complex metal hydrides, Gitman’s reagent, Lithium dimethyl cuprate, lithium
disopropyalamide (LDA) dicyclohexyl Carbodimide, 1,3-dithiane, trimethyl
silyiodide, tri-n-butyltin hydride, wordward prevost hydroxylation, Osmium tetroxide,
DDQ, Selenium dioxide, Phase transfer catalysts, Crewn Ethers & Merrifield resin,
Peterson’s synthesis, Wilkinson’s catalyst, Baker yeast, B-cyclodextrin, Grubbs
Catalyst.
8) Spectroscopy :
Applications of Mass UV VIS, IR & NMR Spectroscopy for Structural Elucidation of
compound.
32
9) Protecting Group :
For OH , NH2 – CAH & Carbonyl of ketone & aldehyde.
10) Green Chemistry & Microwave reactions.
******
33
Inorganic Chemistry
1. Chemistry of transition elements and coordination compounds-bonding theories,
spectral and magnetic properties.
2. Reaction mechanisms: Ligand substitution, Isomerization, insertion, oxidative
addition, reductive elimination and photochemical reactions.
3. d-block organometallic compounds - synthesis, bonding and structure and reactivity.
4. Organometallics in homogenous catalysis: Catalysis steps, hydrogenation of alkenes,
hydroformylation, Wacker process, alkene polymerization.
5. Cages and metal clusters: Structure, synthesis.
6. Coordination compounds in biology and medicines, redox chemistry of Iron
porphyrins, cytochromes, therapeutic uses of coordination compounds as anticancer,
antiarthritis drugs.
7. Analytical chemistry: a) Separation techniques- Solvent extraction, GC-HPLC, ion
exchange chromatography. b) Electroanalytical methods- polarography and
voltammetric methods. c) Thermoanalytical methods- Thermogravimetric analysis
(TGA), Differntial thermal analysis (DTA) and radio analytical techniques.
8. Physical Characterization of Inorganic compounds – Electron paramagnetic resonance
(EPR) & Mossbauer spectroscopy.
*******
34
Analytical Chemistry
1. Concepts of Analytical Chemistry:
Qualitative and quantitative analysis. Accuracy, precision, mean and standard
deviation. Analytical data processing. Solvent extraction- Determination of partition
ratios, Continuous separation and countercurrent processes.
2. Decomposition and Dissolution of Samples :
Acids as solvents. Oxidizing and non-oxidizing acidic and alkaline fluxes. Use of
chlorine and bromine at high temperatures. Dry and wet ashing methods.
3. Instrumental Methods of Analysis:
Principle, instrumentation and applications of following techniques:
pH metry, potentiometry, conductometry, polarography, voltametry,
electrogravimetry, coulometry, x-ray diffraction spectrometry.
4. Spectroscopic Methods of Analysis:
UV and Visible spectrophotometry, Infra-red spectroscopy, Nuclear magnetic
resonance spectroscopy, Mass spectrometry, Flame emission and Atomic absorption
spectroscopy.
5. Chromatographic Methods of Analysis:
Paper chromatography, Thin layer chromatography, Ion exchange chromatography,
Size exclusion chromatography, High performance liquid chromatography, Gas
chromatography.
6. Special Analytical Methods :
Neutron activation analysis, Isotope dilution analysis, Thermal methods of analysis
such as TGA, DTA, DSC and thermometric titrations.
7. Analysis of Organics and Medicinal:
Determination of hydrocarbons by combustion method, carbonyl compounds by DNP
method, nitrogen compounds by Kjeldahl and Duma’s method and sulphur
compounds by oxygen flask method. Assay of aspirin and sulpha drugs, Assay of
vitamins A, B1, B2, C and D. Enzyme assay. Bioassay of antibiotics.
8. Analysis of Foods and Bio-analysis:
Estimation of carbohydrates, fats and proteins from food. Analysis of foods such as
milk, flour, honey, jams-jellys and beverages. Analysis of urine and blood. Forensic
examination of saliva, blood and hairs. Forensic toxicology.
******
35
Geology
(i) Geomorphology: Landforms-their types and development; weathering, transport and
erosion; landforms in relation to rock type, structure and tectonics. Soils-their
development and types. Geomorphic processes and their impact on various landforms
and associated dynamics-slope, channel, coastline, glacial and aeolian; evolution of
major geomorphological features of the Indian sub-continent; geomorphometric
analysis and modelling.
(ii) Sedimentology: Classification of sedimentary rocks; petrography of rocks of clastic,
chemical and biochemical origin. Sedimentary textures and structures. Diagenesis;
marine, non-marine and mixed depositional environments. Facies association,
sedimentation and tectonics; basin analysis; Reconstruction of palaeoenvironments
using radioactive and stable isotopes.
(iii) Paleontology: Origin and evolution of life; fossils and their uses; species concept;
functional morphology, classification and evolution of important invertebrate,
vertebrate and plant fossils; biomineralisation and trace fossils; types of microfossils
and their applications; palaeobiogeography and palaeoecology; evolution of man.
Oxygen and carbon isotopic studies on fossils; analysis of palaentological record for
tracing plate tectonics processes.
(iv) Stratigraphy: Recent developments in stratigraphic classification: Litho bio and
chrono stratigraphic units and their interrelationships; modern methods of
stratigraphic correlation; steps in stratigraphic studies; approaches to
palaeogeography; Earth’s climatic history. Rocks of Phanerozoic Eon in India-their
intercontinental correlation with special reference to type localities; boundary
problems in stratigraphy; geodynamic evolution of the Indian subcontinent through
the Phanerozoic.
(v) Structural Geology and Geotectonics: Concepts of stress and strain; strain analysis
using deformed objects; geometric classification of folds; mechanics of folding;
folding in shear zones; geometry of superposed folding; structural analysis in terrains
with multiple deformation; foliation and lineation; geometry and mechanics of shear
zones; brittle ductile and ductile structures in shear zones; geometry of thrust sheets.
Classification of unconformities; map patterns and their uses in the determination of
large-scale structures. Isostasy; seismicity; sea-floor spreading and plate tectonics;
orogenesis; orogenic belts of India; evolution of the Himalaya and Himalayan
tectonics.
(vi) Mineralogy: Concept of symmetry, point group lattice and space group; principles of
crystal chemistry; principles of optical and X-ray mineralogy. Structural classification
of minerals; structure and its interrelation with physical and chemical properties of
minerals important phase diagrams of major rock forming minerals and ore minerals;
principles of geothermo-barometry.
(vii) Geochemistry: Abundances of elements; structure and atomic properties of elements;
the Periodic Table; geochemical classification and distribution of elements in the
earth; principles of geochemical cycling; principles of ionic substitution in minerals;
laws of thermodynamics; concepts of free energy, activity, fugacity and equilibrium
constant; thermodynamics of ideal, nonideal and dilute solutions; element partitioning
in mineral/rocks formation and concept of distribution coefficients; concept of P-T-X.
Eh-pH diagrams and mineral stabilities; radioactive decay schemes, growth of
36
daughter isotopes and radiometric dating; stable isotopes and their fractionation.
Mineral/Mineral assemblages as ‘sensors’ of ambient environments.
(viii) Petrology: Phase equilibria studies of single, binary, temary and quaternary silicate
systems with reference to petrogenesis; magmas, their generation in the crust and
mantle, their emplacement and their relation to plate tectonics; magmatic
crystallization, differentiation and assimilation; classification of igneous rocks; major
and trace elements and isotopic composition of igneous rocks in the context of
petrogenesis; petrogenesis of important types of igneous rocks; volatile components in
petrogenesis. Physical and rheological properties of silicate melts-Bingham liquid;
partial melting and fractional crystallization in closed and open system models. Role
of T.P. and fluids in metamorphism; metamorphic facies; mineral assemblages and
important reactions in different facies; types of metamorphism and metamorphicbelts;
relationship among metamorphism, anatexis and grantization. Petrogenetic
aspects of important rocks of India such as the Deccan Trap. The Layered intrusions,
charnockites, khondalities and ‘gondites’.
(ix) Ore Geology: Physico-chemical controls of deposition and of post-depositional
changes in ores; geological processes of formation of economic mineral deposits;
global metallogeny as related to crustal evolution; metallogenesis in space and time.
Elements of ore petrology; mineral assemblages and fluid inclusions as ‘sensors’ of
ore-forming environments; Live ore forming systems. Geological setting,
characteristics features and genesis of ferrous and nonferrous ore deposits of India.
Metallogenic history of India.
(x) Marine Geology: Morphological and tectonic domains of the ocean floor; midocean
ridge systems; seawater-basalt interaction and hydrothermal vents; models and rates
of ocean circulation and of sedimentation in the oceans; digenetic changes in oxic and
anoxic environments; mobility of redox metals; major components of marine
sediments and processes regulating sediment composition; geochronology of marine
sediments from radioactivity measurements; sedimentary markers of
palaeoenvironmental conditions; mineral resources of the oceans and factors
controlling their distribution. Ocean margins; nature of deep sea sediments, their
chronology and correlation; tectonic history of the oceans.
(xi) Petroleum Geology: Origin, migration and entrapment of petroleum; properties of
source and reservoir rocks; structural, stratigraphic and combinations traps.
Techniques of exploration. Petroliferous basins of India.Well logging and other
methods.
(xii) Precambrian Geology and Crustal Evolution: Evolution of the early crust, early
Precambrian life, lithological, geochemical and stratigraphic characteristics of granite
greenstone and granulite belts. Stratigraphy and geochronology of the Precambrian
terrains of India.
(xiii) Applied Geology:
(a) Photo geology and Remote Sensing: Elements of photogrammetry; elements
of photo interpretation; electromagnetic spectrum emission range, film and
imagery; multispectral sensors; geological interpretation of air-photos and
imagery.
37
(b) Engineering Geology: Mechanical properties of rocks; geological
investigations for the construction of dams, bridges, highways and tunnels.
(c) Mineral Exploration: Geological and geophysical methods of surface and
subsurface exploration on different scales, sampling, assaying and evaluation
of mineral deposits; geochemical and Geobotanical surveys in exploration.
(d) Hydrogeology: Ground water, Darcy’s law; hydrological characteristics of
aquifers; Hydrological cycle; precipitation, evapotranspiration and infiltration
processes; hydrological Classification of water-bearing formations; fresh and
salt water relationship in coastal and inland areas; ground water exploration
and management, water pollution, ground water regimes in India.
******
38
Environmental Sciences
1. Environmental Science and Environmental Issues:
Definition. Principles and scope of environmental science. Earth, man and
environment. Ecosystems and pathways in ecosystem. Physico-chemical and
biological factors in the environment. Human population growth, Urbanization,
Industrialization, Effects of agriculture on environment.
Structure and composition of atmosphere: hydrosphere, lithosphere and biosphere.
Mass and energy transfer across the various interfaces. Material balance, First and
second laws of thermodynamics, Heat transfer processes.
Conventional and Non-conventional Energy Sources: Thermal power plants,
Hydropower projects, Nuclear power projects, Biogas, Wind energy, Solar energy,
Geothermal energy and Tidal power. Advantages, limitations and scope for above
types of energies in India.
Global environmental problems: Deforestation, desertification, ozone layer depletion,
greenhouse effect and global warming.
Global environmental awareness and action plans: Stockholm conference, Montreal
protocol, Rio-de-Janeiro summit, Kyoto protocol, Copenhagen summit, World Wide
Fund for nature (WWF), Carbon credit.
Environmental policies and legislations: Environmental policy resolutions, legislation,
Public policy strategies in pollution control. Introduction acts and legal provisions
pertaining to Environmental protection. Natural resources conservation and
sustainable development.
2. Environment and Ecology:
Definition, principles and scope of ecology. Human ecology and human settlement.
Evolution, origin of life and speciation.
Abiotic factors like temperature, light, rainfall, humidity, atmospheric gases and wind.
Wind factor and fire factor. Topographic factors like height and direction of
mountains. Steepness of slopes, edaphic factors like formation of soil, composition of
soil, soil erosion and conservation. Ecological adaptions in plants like hydrophytes,
mesophytes, xerophytes and halophytes. Ecological adoptions in animals.
Ecosystems. Structure and functions, biotic and abiotic components, energy flows,
food chain, food web, ecological pyramids, biomass and numbers, types and diversity,
ecological succession, Population. Community ecology and parasitism. Prey-predator
relationships.
Major types of ecosystems. Pond, grassland, forest, desert, cropland and terrestrial
ecosystems. Primary and secondary productivity.
System ecology and ecosystem modeling. Development of environmental modeling.
Scope, types and state of art.
39
Biodiversity: Concept of biodiversity. Types of biodiversity. Importance of
biodiversity. Major biomes distribution. Biodiversity hotspots. Endangered species.
Conservation of biodiversity in national parks, sanctuaries and biosphere reserves.
Biodiversity in India.
Ecological succession: Mechanism of succession. Course of succession. Types and
trends of succession. Climax concept in succession. Succession and biogeo-chemical
cycling of Carbon, Sulphur, Nitrogen and phosphorous.
3. Environmental Chemistry:
Fundamentals of environmental chemistry: Concept and scope. Stoichiometry. Gibbs
free energy. Redox potential, chemical potential and chemical equillibria. Acid-base
reactions, solubility products and solubility of gases in water. The carbonate system.
Saturated and unsaturated hydrocarbons. Radionuclides in air.
Air chemistry: Structure and composition of atmosphere. Chemical composition of air
and heat balance. Classification of elements. Chemical speciation. Particles, ions and
radicals in atmosphere. Chemical processes for formation of inorganic and organic
particulate matter. Thermochemical and photochemical reactions in the atmosphere.
Oxygen and ozone chemistry of air pollutants. Photochemical smog.
Water chemistry: Chemistry of water. Concept of DO, BOD and COD.
Sedimentation, coagulation, filteration and redox potential. Hydrospherecharacteristics
and structure. Oceans, ice and fresh water systems.
Properties of water bodies: Alkalinity, acidity, calcium and other metals in water,
organic pollutants, soaps, oil, detergents and pesticides in water. Radionucleides.
Soil chemistry: Lithosphere-formation of the earth, structure and composition of the
earth. Differentiation of elements. Soil and agriculture. Nature and composition of
soil. Acid-base and ion exchange reactions in soil. NPK in soil. macronutrients in soil.
Nitrogen pathways.
Principles, working and applications of analytical techniques: Titrimetry, gravimetry,
colorimetry, spectrophotometry nephalometry, turbidimetry, flame photometry,
polarography, paper chromatography, thin layer chromatography, ion exchange
chromatography, gas chromatography (GC), atomic absorption spectroscopy (AAS),
HPLC, X-ray florescence, X-ray diffraction, neutron activation analysis and isotope
dilution analysis.
4. Environmental Pollution and Its Control:
Air Pollution: Definition. Natural and anthropogenic sources of air pollution. Primary
and secondary air pollutants. Transport and diffusion of pollutants. Gas laws
governing effects of pollutants in atmosphere. Methods of monitoring and control of
air pollution. Study of air pollutants-SO2, NOx, CO and SPM. Effects of pollutants on
human beings, plants, animals, materials and climate. Acid rain. Air quality standards.
Air monitoring instruments- Orsat apparatus, high volume sampler and source
monitors.
40
Air pollution meteorology: Wind speed, direction and their vertical profiles.
Turbulence, atmospheric stability characteristics and classes. Plume behavior. Effects
of micrometeorology on point source emission. Wind valley effect, land/sea breeze
effect and heat island effect. Mixing height boundary. Temperature inversion. Factors
affecting dispersion of air pollutants. Micrometeorological instruments.
Water pollution: Types, sources and consequences of water pollution. Physical,
chemical and biological characteristics of water and wastewater. Physico-chemical
and bacteriological sampling and analysis of water. Water quality. Water quality
standards (WHO, BIS and CPCB). Water quality indices. Pollution potential of
industrial effluents of industries-textile & dye, paper & pulp, sugar, chemical, food
processing, petroleum, tannery and electroplating industry. Effects of water pollution
on human beings, plants, animals and materials. Biological uptake of pollutants.
Bioaccumulation and biomagnification. Eutrophication. Water borne diseases. Bioindicators.
Wastewater treatment: Introduction. Flow diagram of wastewater
treatment. Preliminary treatments -Flow measurement, screening, gritting, skimming.
Primary treatments- primary and secondary sedimentation. Secondary treatments- trickling filter, activated sludge process and bio-towers. Tertiary treatments- precipitation, ion exchange, membrane filtration, reverse osmosis, electro-dialysis and
effluent disinfection. Sludge treatments-thickening, conditioning, dewatering,
digestion, drying and disposal. Common effluent treatment plant (CETP).
Terrestrial pollution: Physico-chemical and bacteriological sampling and analysis of
soil. Soil quality. Sources of solid wastes. Composition of solid wastes. Collection,
transportation and characterization of solid wastes. Effects of solid wastes on
environment and health of human beings. Management of solid wastes by methods- sanitary landfill, incineration, pyrolysis, composting and vermicomposting. Modern
trends- reduce, reuse, recycle strategy. integrated waste management for energy
recovery. Hazardous wastes and its management. Generation and management of
solid wastes in industries-textile & dye, paper & pulp, sugar, fertilizers, petroleum,
chemical and food processing industry.
Noise Pollution: Sources of noise pollution. Measurement of noise. Noise exposure
levels and standards. Impact of noise pollution on human health. Noise control and
abatement measures.
Marine pollution: Sources of marine pollution and control. Criteria for disposal of
pollutants in marine system. Coastal management. Radioactive and thermal pollution.
5. Environmental Impact Assessment and Auditing:
Introduction: Definition of EIA & EIS. Environmental inventory. Concept, scope and
Objectives of EIA. National Environmental Policy Act (NEPA-1969). EIA
Guidelines-1994 of Government of India. Procedure to review report of EIA.
Impact Assessment Methodologies: Definition and concept of impacts. Types of
impacts (negative & positive, primary &secondary, reversible & irreversible, tangible
& intangible). Impact identification. Methods for impact identification- matrices,
networks and checklists. Advantages and disadvantages of EIA methodologies.
41
Components of EIA: Environmental setting. Baseline data. Prediction and evaluation
of impacts. Environmental management plan and monitoring. Baseline information.
Prediction, Evaluation and mitigation of impacts on socio-economic, air, water, soil
and noise environments.
Preparation and writing of EIA: For water resources. Dams and irrigation projects.
Mining and infrastructural projects.
Environmental auditing: Notification and guidelines for environmental audit.
6. Environmental Geoscience and Remote Sensing:
The Earth system and biosphere: Conservation of matter in various geospheres- lithosphere, hydrosphere, atmosphere and biosphere. Energy budget of the Earth.
Earth’s thermal environment and seasons. Ecosystems flow of energy and matter. Coexistence
in communities and food web. Earth’s major ecosystems-terrestrial and
aquatic. General relation between landscape, biomass and climate. Indian monsoon-
EL Nino, droughts, tropical cyclones and western disturbances.
Mineral resources and environment: Resources and reserves. Minerals and population.
Oceans as new areas for mineral exploration. Processing and smelting of minerals.
Environmental impacts of mineral exploration.
Landuse planning: The landuse plan. Soil surveys in relation to landuse planning.
Methods of site selection and evaluation.
Introduction to remote sensing: Definition. Historical perspective. Electromagnetic
radiation (EMR). EMR spectrum. Radiation laws. Blackbody and real body
radiations. Hemispheric reflectance, transmittance and absorption. Applications of
remote sensing in environmental studies.
Applications of remote sensing in environmental studies: Land use/land cover,
wastelands, forests, forest fires, water resources, disasters, wildlife habitats,
vegetations.
Geographical Information System (GIS): Definition. Capabilities and advantages.
History, objectives and elements of GIS. Data models- Raster and vector data model.
Data structures- relational, hierarchical and network data structures. Overview of GIS
softwares. Use of GIS in environmental management.
7. Industrial Safety, Hygiene and Toxicology:
Concept, need and application of industrial safety effective implementation of safety.
Safety policy in the industries. Risk assessment and management: Checklist
procedure. Preliminary hazard analysis. What if analysis. Failure mode effect
analysis. Hazard and operability (HAZOP) studies. Hazard analysis techniques- fault
tree analysis and event tree analysis. General outline of DOW index. Risk estimation
and management. Major hazard control. On-site and off-site emergency preparedness.
Industrial hygiene: Environmental stresses- physical, chemical, biological and
ergonomic stresses. Principles of industrial hygiene.
42
Elementary industrial toxicology: Introduction and Definition. Major toxic
substances. Environmental agents causing public concern. Factors affecting toxicity
of toxicant. Acute and chronic toxicity studies. Morphological, functional and
biochemical changes. LD50 and LC50. Dose response curve. Probit factor.
Extrapolation of animal studies results to human. Carcinogenesis- initiation,
promotion and progression of cancer. Threshold limit value (TLV) and criteria used in
arriving at TLV.
Occupational health: Concept of health and occupational health. Spectrum of health,
Occupational and work related diseases. History of occupational diseases.
Characteristics of occupational diseases. Level of prevention. Essentials of
occupational health services. personal protective equipments (respiratory and nonrespiratory).
*******
43
Geography
UNIT NO 1: CLIMATOLOGY :
Introduction: Definition, Nature and Scope, Aims and Objectives, Subdivisions,
Development of modern climatology. Composition and structure of atmosphere.
Isolation and Heat Budget: Definition, factors affecting the distribution of isolation, effects
of atmosphere, Heat budget of the earth and atmosphere.
Temperature, Humidity and Precipitation: Horizontal and vertical distribution of
temperature. Factors affecting the distribution of temperature, inversion of temperature,
Humidity types, Forms of precipitation, Types of rainfall.
Fronts and air masses: Classification, modification of airmasses and types of fronts
Atmospheric disturbances, Climatic Classification and Recent trends in climatology
Cartographic Techniques: Climatograph, Climograph, Hyther graph, Wind rose.
Isothermal lines. Interpretation of satellite imageries showing daily weather forecast.
U
NIT NO 2: GEOMORPHOLOGY:
Introduction: Definition, Nature, scope and fundamental concepts of geomorphology
Origin and Evolution of the earth: Continental Drift Theory, Palaemagnetism, Seafloor
Spreading Theory, Plate Tectonic Theory. Davisian Cycle of Erosion.
Landforms: Fluvial Landforms, Karst Landforms, Glacial Landforms, Aeolian Landforms.
Techniques: Average slope analysis, Relative and absolute relief, Dissection Index, Millor’s
Isotan maps, drainage Density, drainage frequency, Drainage network hierarchy- Hartshon’s
and Strahlers methods.
UNIT NO 3: ECONOMIC GEOGRAPHY:
Introduction: Definition, Nature and Scope, Approaches, Bran chases and recent trends in
Economic Geography.
Theories and Models: Von Thunen’s Theory of Agricultural Location, Weber’s Theory of
Industrial Location, Rostow’s model, Myrdal’s Model, Friedman’s Core Periphery Model.
Economies of scale: Agglomeration and Growth Poles. External and Internal Economies of
scale.
Statistical Techniques: Crop combination, Crop concentration, Crop diversification,
Intensity of crops, Network analysis, Dispersion of settlements, Growth of Urban Population,
Degree of Urbanization, Functional classification of towns.
44
UNIT NO 4: POPULATION AND SETTLEMENT GEOGRAPHY:
Introduction: Nature and scope, Approaches, Sources of Population data, Factors
influencing distribution of population, Types of population density.
Fertility and Mortality: Measures of Fertility and Mortality, Factors influencing fertility and
Mortality, Composition of Population- Age, Sex, Religion and Economic Compositions of
Population.
P
opulation Theories: Demographic Transition, Optimum Population Theory and Karl
Marks Theory.
Statistical and Cartographic Techniques used in the study of Population and settlement
Geography
UNIT NO 5: GEO-STTISTICAL METHODS:
Techniques: Central Tendencies, correlation of co-efficient, Regression, residual from
regression, least square and semi average method.
Sampling techniques: Significance of Sampling, Types of sampling,
UNIT NO 6: GEOINFORMATICS:
Application of computer in geographic data analysis: Application of Excel worksheet, If
condition command, Advance filter, conditional formatting,
Remote sensing; Definition, History, electromagnetic spectrum, Aerial Photographs, Scale
of aerial Photographs, Camera calibration, types of platforms, types of sensors, satellite
imageries, annotation of satellite imageries, calculation of scale, Types of satellites, Recent
development of Remote sensing, Major centers of remote sensing.
GPS; Introduction to GPS, functions, applications and advance development in GPS
GIS: What is GIS? Views of a GIS, What you Can Do With GIS? Objectives and tasks of
GIS, Coordinate System, Geographic Coordinate System, Projected Coordinate Systems,
Vector And Raster Data Models, Definition Of Attributes, Types Of Attribute, DEM, GIS
software.
*******
45
NORTH MAHARASHSTRA UNIVERSITY
SYLLABUS FOR Ph. D.
ENTRANCE TEST
PAPER – II
FACULTY : ENGINEERING & TECHNOLOGY
(Excluding Chemical Engineering & Chemical Technology,
Computer Engineering)
46
Mechanical Engineering
1. Mathematics:
1.1 Differential Equations: First order equations (linear and nonlinear), Higher
order linear differential equations with constant coefficients, Cauchy's and Euler's
equations, Initial and boundary value problems, Laplace transforms, Solutions of one
dimensional heat and wave equations and Laplace equation.
1.2 Numerical Methods: Numerical solutions of linear and non-linear algebraic
equations Integration by trapezoidal and Simpson's rule, single and multi-step
methods for differential equations, Solution of ordinary differential equation, Iterative
methods, Finite Difference Method.
1.3 Calculus: Functions of single variable, Limit, continuity and differentiability, Mean
value theorems, Evaluation of definite and improper integrals, Partial derivatives,
Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector
identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss
and Green's theorems.
2. Mechanical Engineering Group:
A) Heat Power:
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.
H
eat-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.
Thermodynamics: Power Engineering: Steam Tables, Rankine, Brayton cycles with
regeneration and reheat. I.C. Engines: air-standard Otto, Diesel cycles. Refrigeration and airconditioning:
Vapour refrigeration cycle, heat pumps, gas refrigeration, Reverse Brayton
cycle; moist air: psychrometric chart, basic psychrometric processes. Turbomachinery:
Pelton-wheel, Francis and Kaplan turbines - impulse and reaction principles, velocity
diagrams.
47
B) Production Engineering:
Machining and Machine Tool Operations: Basic machine tools; machining processesturning,
drilling, boring, milling, shaping, planing, gear cutting, thread production, broaching,
grinding, lapping, honing, super finishing; mechanics of machining - geometry of cutting
tools, chip formation, cutting forces and power requirements, Merchant's analysis; selection
of machining parameters; tool materials, tool wear and tool life, economics of machining,
thermal aspects of machining, cutting fluids, machinability.
Product Design and Development: Principles of good product design, tolerance design;
quality and cost considerations; product life cycle; standardization, simplification,
diversification, value engineering and analysis, concurrent engineering.
Production Planning and Inventory Control: Forecasting techniques - causal and time
series models, moving average, exponential smoothing, trend and seasonality; aggregate
production planning; master production scheduling order control and flow control; routing,
scheduling and priority dispatching; push and pull production systems, concept of JIT
manufacturing system; logistics, distribution, and supply chain management; Inventory -
functions, costs, classifications, deterministic and probabilistic inventory models, quantity
discount; perpetual and periodic inventory control systems.
Operation Research: Linear programming - problem formulation, simplex method, duality
and sensitivity analysis; transportation and assignment models; network flow models,
constrained optimization and Lagrange multipliers; simple queuing models; dynamic
programming; simulation - manufacturing applications; PERT and CPM, time-cost trade-off,
resource leveling.
Quality Management: Quality - concept and costs, quality circles, quality assurance;
statistical quality control, acceptance sampling, zero defects, six sigma; total quality
management; ISO 9000; design of experiments - Taguchi method.
C
) Design 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.
S
trength 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.
Theory of Machines: Displacement, velocity and acceleration analysis of plane mechanisms;
dynamic analysis of slider-crank mechanism; gear trains; flywheels.
V
ibrations: Free and forced vibration of single degree of freedom systems; effect of
damping; vibration isolation; resonance, critical speeds of shafts.
48
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.
*****
49
Civil
Operations Research Techniques:
Importance of Operations Research (OR), Applications of OR techniques in decision making,
systematic approach in problem solving, optimization of processes.
Numerical methods:
Importance of numerical methods, linear curve fitting techniques, polynomial curve fitting
techniques, numerical differentiation, numerical integration, numerical solution of
polynomial equations, interpolation and extrapolation, numerical solution of ordinary
differential equations, numerical solution of partial differential equations, stability and
convergence.
Computer fundamentals:
Fundamentals of computer operations, common languages, languages for scientific
applications, types of variables, ability to write simple programs with IF, GOTO conditions
and LOOPS, matrix operations, familiarity with software Microsoft word, Microsoft excel
and Microsoft power point.
Project management techniques:
Elements of project management, role of a leader, event and activity, bar charts, Critical Path
Methods (CPM) and Project Evaluation and Research Techniques (PERT) methods.
Statistics:
Concept of average, mean, mode, median, standard deviation, weight of observation, size of
sample, grab and composite samples, representative samples.
Theory of probability:
Elements of probability theory, addition and subtraction of probability.
Theory of errors:
Significant figures, accuracy and precision, error definition, truncation error, round off error,
total numerical error, human error, instrumental error, systematic error, cumulative error,
compensating error, blunders, formulation error, data uncertainty.
********
50
Electronics Engineering
Basic Electronics
Energy band diagram, Fermi level. Carrier concentration under thermal equilibrium, and their
temperature dependence. Extrinsic and Intrinsic Semiconductors.
Carrier Transport, Drift, Diffusion, Excess carriers, Recombination, continuity equation,
Poission’s equation.
P-n junction, current-voltage, small signal capacitance, switching.
BJT, carrier profile, dc and ac characteristics.
Schottky diodes, ohmic contact.
MOS capacitor C-V characteristics, MOSFET threshold voltage and I-V characteristics
Basic bipolar and MOSFET process step technology.
Diode and its applications.
Basic FET and Bipolar Transistor amplifier circuits and parameters of amplifiers. Operational
amplifier and its applications. Negative feedback and frequency compensation. Positive
feedback and oscillators.
Filters, AGC, AVC and amplitude stabilization of oscillators.
Voltage regulators and power amplifiers, modulators, demodulators and mixers.
Networks & Control Systems
Network topology , Node-pair and loop analysis of networks containing independent and
dependent sources, Sinusoidal steady state analysis of single-phase and 3-phase circuits,
Resonance, Symmetrical components , Magnetically coupled circuits,. Fourier series and
transform, Laplace transform, Analysis of RLC networks using Laplace transform, network
functions for one-port and two-port networks , Impulse response and superposition integral,
Network theorems , State variables , Formulation of state equations of RLC-networks and
solutions , Discrete systems.
Open-loop and Closed-loop systems; Servomechanisms and regulator problems ; Transfer
function; Block diagram algebra ; Signal flow graphs; Mathematical Models for Physical
Systems : Mechanical translational and rotational systems; Gear trains; dc generator and
motors; Transportation lag systems; Analogs: Components like potentiometers as error
sensing devices; Synchros; as servomotor; tachometers; Concept of stability; necessary and
sufficient conditions for stability; Routh-Hurwitz criterion; Transient Response; Typical
inputs; Time-domain specifications; Steady state errors; error series; system error and Nonunity
feedback systems; Frequency response; Bode plots: both semilog coordinates and, loglog
coordinates; Frequency domain specifications: Gain Margin and phase Margin; Nyquist
stability criterion; M and N circles; Nichols chart; Root locus and Root Contours;
State-variable representation of systems; Phase variables: Solution of state equations,
controllability and observability.
Power Electronics & Power Systems
Semiconductor Devices in switched mode - Diode, SCR, BJT, IGBT, MOSFET - drivers,
protection, thermal aspects - ratings
Figures of merit - ripple factor, average value, Harmonic factor, Distortion factor, THD,
Power factor, Crest factor
51
Power in switching circuits -
2-pulse Midpoint converter - analysis for R load, infinite inductive load, R-L load -
implications of commutation overlap - use in DC drives.
3-pulse converter - analysis for R load, infinite inductive load, R-L load - implications of
commutation overlap - use in DC drives.
Bridge converters - three phase and single phase - analysis for R load, infinite inductive load,
R-L load - implications of commutation overlap - use in DC drives.
Buck, Boost, Buck-Boost Converters - circuit steady state analysis - current and voltage
ripple estimation - discontinuous and continuous modes of operation. Use of SCR in buck
converters - commutation circuit.
Inverters - 120 deg. and 180 deg. conduction operation - selective harmonic elimination -
McMurray inverter - SPWM, unipolar and bipolar switching
Single phase AC Voltage Controller - analysis and operation
Snubbers - turn on, turn off, snubbers - RCD snubber
Modeling of transmission lines, synchronous machines and transformers, one-line diagram
per unit (p.u) computation; Symmetrical and Unsymmetrical fault analysis; Power System
Protection , Design of relays; Zone of protection; primary and backup protection; protection
of transmission lines and transformers.
Communication Theory
Review of Fourier Techniques: Fourier transform properties, spectral density, Hilbert
transforms, bandpass signals and complex envelopes,
Probability Theory and Random Process: Random variables, distribution and density
functions, expected values, transformations Specification of a random process, stationary,
ensemble averages, correlation functions, power spectra, filtering of random signals,
Gaussian processes, noise, matched filtering
Basic Digital Communication: Vector space representation of digitally modulated signals,
optimal receiver for additive white Gaussian noise, performance of binary and M-ary
modulation schemes- PSK and QAM, power spectra of linearly modulated signals
Review on fundaments of optical Communication Fiber Cable characterization and testing
splicing, connectors, design of Local area network installation-link consideration-power
budget and rise-time budget, local area network, cabling of local area networks, testing
troubleshooting and measurement.
Components of fiber optic networks, fiber optic networks-an overview, transceivers for fiber
optic networks, semi conductor optical fibers. Erdium-doped fiber amplifiers.Passive
components, switches and functional modules of fiber-optic networks-couplers/splitters,
wavelength division multiplexers and demultiplexers, filters, isolators, circulators and
attenuators. Optical switches and functional modules.
52
Review on satellite fundaments. Satellite link design: Design of down links, uplink design,
design of satellite links for specified (C/N) Interference effects in complete link design,
Satellite Transponders : Function and implementation of transponder, transmission
impairments Spread spectrum technique direct sequence spread spectrum techniques, DSCDMA,
FM-SS FH-SS CDMA, Synchronization and applications.
Encoding and forward error correction for digital satellite links, Error detection and
correction, channel capacity, error detection coding, implementation of error detection on
satellite links, echo controlling Earth station : transmissions, receivers, antennas, tracking
system, terrestrial interface primary power test methods
Digital Signal Processing
The Discrete Fourier Transform :
Representation of periodic sequences – the Discrete Fourier series – properties of the Discrete
Fourier series – Fourier representation of finite duration sequences – The Discrete Fourier
Transform properties of the Discrete Fourier Transform – Linear Convolution using the
Discrete Fourier Transform – Two dimensional DFT.
Computation of the Discrete Fourier Transform:
Efficient computation of the DFT – FFT Algorithms -Direct computation of the DFTc -
Radix – 2 FFT algorithm- Radix – 4 FFT algorithm - Implementation of FFT algorithm
A linear Filtering approach to computation of the DFT - The Geortzel algorithm The chirp –
Z – Transformation algorithm- Quantization errors in the direct computation of the DFT and
FFT algorithms.
Digital Filters Design:
FIR – Filters-Magnitude response and Phase response of Digital Filters - Frequency response
of linear phase FIR filters - Design techniques for FIR Filters - Design of optimal Linear
phase FIR Filters IIR – Filters - IIR Filter Design by Impulse Invariant method-IIR Filter
Design by the Bilinear Transformation-Butterworth Filters – Chebyshev Filters – Inverse
Chebyshev filters – Elliptic Filters – Frequency transformation
Discrete Hilbert Transforms :
Real and Imaginary part sufficiency for causal sequences – minimum-phase condition –
Hilbert Transform Relations for the DFT – Hilbert Transform Relations for complex
sequences.
Power Spectrum Estimation :
Estimation of spectra from Finite Duration Observations signals – Non-parametric methods
for power spectrum Estimation – parametric method for power spectrum Estimation.
Electromagnetic Field Theory
53
Vector fields. Divergence and Stokes theorems. Overview of Electrostatics and
Magnetostatics.
Poissons Equation: Derivation, applications, existence and uniqueness. Dielectrics,
Displacement vector. Capacitance matrix, Energy in the field.
Amperes Law: B Field calculations. Vector potential. The magnetic dipole. Magnetization of
materials.
Faraday Law: Induced emf in stationary and moving coils. Inductance. Inductance matrix.
Energy in the magnetic field.
Maxwell Equation: The wave equation. Poynting theorem. Poynting theorem for phasors.
Transmission Lines: The high-frequency circuit. LCR ladder model. The transmission line
equation. Solution for loss-less lines. Wave velocity and wave impedence. Reflection and
Transmission coefficients at junctions. VSWR.
Plane Waves: Solution of the wave equation in vacuum. Wave velocity and impedence.
Normal and Oblique incidence at interfaces. Penetration into conducting surfaces – skin
effect. Reflection off dielectric layers.
Introduction to waveguides: Guided waves. Modes and their cutoffs. The TEM wave and the
transmission line limit.
Antennas: The half-wave dipole antenna. Radiation patterns. Antenna gain and directivity.
Digital Systems
Combinational circuits: Karnaugh maps; Design of single and multiple output circuits using
gates, MSI Ics, ROMs and PLAs.
Sequential circuits: Analysis and design of synchronous circuits; Analysis of asynchronous
circuits.
Design of practical digital systems using state diagram/ASM chart techniques.
Instrumentation and Measurements
Analog indicating instruments; Q-meter; Hall effect instruments; rms, average and peak
reading electronic instruments; Galvanometers; CRO and its applications; Errors in
measurement, Systematic and Random errors, error analysis; DC and AC potentiometers, DC
and AC bridges; Interference and noise: Screening and earthing: Instrument transformers;
Digital instruments; Counters, A/D and D/A converters; Active and passive transducers;
Instrumentation system for non electrical quantities, Thermo couples, Piezo electric type
transducers.
******
54
||

New Registration for Ph.D.Entrance Test - Oct 2012 closed. And I am giving you important dates of the Phd Entrance Exam North Maharashtra University.

Online Registration for Ph. D. Entrance Test - from 12th October 2012 to 31st October 2012.

Last date for Physical Receipt of Ph. D. Application 9th November 2012.

__________________
Answered By StudyChaCha Member

North Maharashtra University is conducting Phd Entrance Exam and here I am providing you important dates for 2-013.

Venue and Schedule of Online PET Test:

The Date and Venue of Online Pre-Ph.D. Entrance Test is as follows:

(a) Date of On-Line Test : January 29-30, 2013.

(b) Venue Of On-Line Test : G.H. Raisoni Institute of Information Technology,
Survey No. 57, Shirsoli Road, Jalgaon.

(c) The On-Line Test will be conducted in 04 batches for two days on following time :

Batch Schedule for Fresh Candidates (Paper 1 & Paper 2):
Batch – I : Paper – 1 : 09.00 a.m. to 10.00 a.m.
Paper – 2 : 10.00 a.m. to 11.00 a.m.
Batch – II : Paper – 1 : 11.30 p.m. to 12.30 p.m.
Paper – 2 : 12.30 p.m. to 01.30 p.m.
Batch – III : Paper – 1 : 2.00 p.m. to 03.00 p.m.
Paper – 2 : 03.00 p.m. to 04.00 p.m.
Batch – IV : Paper – 1 : 4.30 p.m. to 05.30 p.m.
Paper – 2 : 05.30 p.m. to 06.30 p.m.

Batch Schedule for PeT Paper 2 Only:
Batch – I : Paper – 2 : 09.00 a.m. to 10.00 a.m.
Batch – II : Paper – 2 : 11.30 p.m. to 12.30 p.m.
Batch – III : Paper – 2 : 2.00 p.m. to 03.00 p.m.
Batch – IV : Paper – 2 : 4.30 p.m. to 05.30 p.m.

University Address:
North Maharashtra University,
P. O. Box No. 80,
Umavi Nagar,
Jalgaon - 425001 (M.S.) India

__________________
Answered By StudyChaCha Member

Will you please provide here North Maharashtra University PhD entrance exam syllabus?

Respected Sir/ Madam,


Please provide detail information about registration form for PhD admission 2014.

please provide MS MSc physics non semester Quantum theory latest syllabus Madurai Kamaraj University