#1
15th July 2015, 07:59 AM
 
 
Kumaun University Phd syllabus
Hello I want the syllabus of PhD in Physics of Kumaun University for study so kindly provide me the syllabus please???

#2
15th July 2015, 10:42 AM
 
 
Re: Kumaun University Phd syllabus
As you want the syllabus of PhD in Physics of Kumaun University for study so here I am providing you the syllabus below Kumaun University Syllabus 1. Mathematical Methods of Physics: Vector algebra and vector calculus; matrices, Cayley Hamilton theorem, eigenvalue problems; Linear differential equations; Hermite, Bessel, Laguerre and Legendre; Fourier series, Fourier and Laplace transforms; complex analysis: poles, residues and evaluation of integrals 2. Classical Mechanics: Centralforce motion; Twobody collisions, Rigid body dynamics, moment of inertia tensor, Variational principle, Lagrangian and Hamiltonian formalisms and equations of motion; Poisson brackets and canonical transformations, Special theory of relativity, Lorentz Transformations, relativistic kinematics and mass–energy equivalence. 3. Electromagnetic Theory: Gauss’ Law and its applications; BiotSavart law, electromagnetic induction; Maxwell's equations in free and linear isotropicb media; Gauge invariance; Electromagnetic waves in free space, dielectrics, and conductors; Lorentz invariance of Maxwell’s equations 4. Quantum Mechanics: Waveparticle duality; Heisenberg's uncertainty principle; Dirac’s bra and Ket notations, timedependent and timeindependent Schroedinger equation ; Time independent perturbation theory and applications; Time dependent perturbation and Fermi's Golden Rule; Elementary theory of scattering, partial waves and Born Approximation; Identical particles, Pauli's exclusion principle, Klein Gordon and Dirac equations. 5. Thermodynamic and Statistical Physics: Laws of thermodynamics and their consequences; Phase space, Micro canonical, canonical and grandcanonical ensembles; partition functions; Free Energy and connection with thermodynamic quantities; Classical and quantum statistics, ideal Fermi and Bose gases. 6. Electronics: Semiconductor devices: diodes, junctions, transistors, field effect devices; Optoelectronic devices: including solar cells, photodetectors, and LEDs; 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; chisquare test; Transducers (temperature, pressure/vacuum, magnetic field, vibration, optical, and particle detectors), , impedance matching, amplification (Opamp based, instrumentation amp, feedback), filtering and noise reduction, shielding and grounding. 8. Atomic & Molecular Physics: Quantum states of an electron in an atom; Electron spin; SternGerlach experiment; Spectrum of Hydrogen, helium and alkali atoms;Relativistic corrections for energy levels of hydrogen; Hyperfine structure; LS & JJ coupling; Zeeman, Paschen Back & Stark effect; Xray spectroscopy. 9. Condensed Matter Physics: Bravais lattices; Elastic properties, phonons, lattice specific heat; Free electron theory; Drude model of electrical and thermal conductivity; Hall effect; Dia,, Para , and Ferromagnetism; band theory of metals, insulators and Semiconductors; Superconductivity. 10. Nuclear and Particle Physics: Basic nuclear properties: size, shape, charge distribution, spin and parity; Binding energy, Semiempirical mass formula; Liquid drop model; Fission and fusion; Isospin; Elementary ideas of alpha, beta and gamma decays ; Nuclear reactions, Classification of fundamental forces; Elementary particles (quarks, Baryons, mesons, leptons); isospin, strangeness; GellMannNishijima formula; C, P, and T invariance ; parity nonconservation in weak interaction. 10. STATISTICS 1. Statistical Methods: Measures of central tendency, dispersion, skewness, kurtosis, correlation, regression, interpolation, extrapolation, index numbers, time series and vital statistics. 2. Sampling Methods: simple random Sampling, stratified sampling, systematic sampling, ratio and regression methods, cluster sampling, twostage sampling, double sampling, Nonsampling errors. 3. Design of Experiments: Block designs, CRD, RBD, LSD, BIBD, PBIPD, Factorial designs, confounding in block designs. 4. Probability: Compound probability, conditional probability, bayes theorem, expectation, MGF, characteristic function, Inversion and continuity theorems for C. F., Kolmogorov's inequality, The weak law of large numbers, The strong law of large numbers, Bernoulli's , Kintchine's theorems, Central limit theorem. 5. Testing of Hypothesis: Null hypothesis, alternative hypothesis, simple and compound hypothesis, errors in testing, Neyman Pearson Lemma and its generalization, UMP Tests, Unbiased Tests, UMPU Tests, Tests with Neyman structure and UMP similar tests, Likelihood Ratio tests and their large sample properties along with simple applications. 6. Estimation: Elements of Decision Theory, Admissibility, Properties of good estimators, Unbiasedness, Efficiency, Sufficiency and completeness, Cramer –Rao inequality and it's generalization, Bhattacharya's Bounds, Characteristics of distribution admitting sufficient statistic, RaoBlackwell Theorem and Lehmann  Scheffe theorem. Method of Estimation, Method of Maximum Likelihood, Method of Moments, Method of ChiSquare, Properties of M.L.E. 7. Multivariate Analysis: Singular and Non Singular Multivariate Normal distributions, Marginal and Conditional distributions, Characteristic Function and Moment Generating Functions, Maximum Likelihood Estimation of Mean and CoVariance matrix, independence and joint sufficiency for these estimates, Hotelling's T2 statistic as a function of the Likelihood Ratio criterion, It's distribution and applications, Mahalanobis D2 statistic and it's distribution, Discriminant function(for two variables), Principal Components and Canonical Correlations. Path Analysis, Factor Analysis , Discriminant Analysis, MANOVA. 8. Nonparametric Inference: Tests for randomness, tests for goodness of fit, one sample and two sample tests, Linear rank statistic and general two way sample problem, Linear Rank tests for location and scale problems, Rank test for one way and two way classified data, Multivariate non parametric test for one sample location problems, Asymptotic relative efficiency, examples of ARE tests. 9. Stochastic Process and Reliability Theory: Definition of Stochastic processes, Markov Chain, one step and n step transition probabilities, ChapmanKolmogorov Equation, first passage and first return probabilities, classification of states, Markov Chains with continuous state space, Poisson Processes, Birth and death processes, elements of Markov Process. Definition of Reliability , Maintainability and Availability, Life distributions, failure rates and bath tub failure curve, exponential, Gamma, Weibull and Log Normal models, Linearly increasing Hazard model, mean time to system failure and mean time between failure components and system reliability, series and parallel configuration, Active and standby redundancy and preventive Maintenance. 10. Bayesian Inference and Econometrics: General structure of a Bayesian Decision problem, role of loss function, Risk function, Prior information, Application of Bayes theorem in computing posterior distributions, Bayes estimators of the posterior mean under squared error loss, Bayesian notion of sufficiency, construction of conjugate priors, improper and diffuse priors. Construction of economic models, Endogenous and Exogenous Variables, concept of Multicolinearity, Identification Problems, rank and order condition of Identifiability, identification under bilinear restrictions, identifiability everywhere in the parametric space, WALA'S criterion of identification, 11. ZOOLOGY 1. Microbiology, Biotechnology and Instrumentation: Kinds of Microorganisms: Viruses, Bacteriophages, Rickettsiae, Bacteria, Fungi, Slime moulds etc. Environmental Microbiology: Microbiology of air, water, soil and Bioremediation. Microbiology of food: Microbial contamination and spoilage of industrial and domestic food, sources of food poisoning and food preservation. Antibiotics: History of Penicillin, Classification of Antibiotics, Nonmedical uses of antibiotics. Biotechnology: Scope and importance, Restriction enzymes in cloning, Techniques used in recombinant DNA technology (agarose and polyacrylamide gel electrophoresis, PEGE, Southern, Northern and Western Blotting, dot blots and slot blots); Cloning vectors for recombinant DNA (Plasmids, Phages, Cosmids, Viruses and Transposons), Transgenic plants and animals. Instrumentation:Elementary knowledge of the functioning and application of the following equipments: Microscopy: Light and phase contrast, Interference, Fluorescence and electron microscopy. Microtomy: Routine paraffin microtomy, Spectrophotometry. Chromatography and Electrophoresis. Centrifugation 2. Animal Diversity I: General classification, characters, habits and habitats of nonchordate phyla. Protozoa: Locomotion and reproduction in protozoa. Porifera: Canal system. Coelenterata: Polymorphism in Coelenterata, coral reefs. Helminthes: Life cycle of Wuchereria and Schistosoma. Annelida: Segmental organs, Adaptive radiation in Polychaeta. Arthropoda: Crustacea (Larval forms); Onychophora (General characters and affinities); Insecta (social life in honey bee and termites). Echinodermata: Water vascular system. 3. Animal Diversity II: Classification upto orders, characters, habits and habitats of chordates. Origin and evolution of chordates, General organisation, classification and affinities of Protochordata and cyclostomata, Ratitae: Distribution and affinities, Dentition in mammals, General characters, distribution and affinities of Prototheria and Metatheria. 4. Biological Chemistry and Physiology (With emphasis on Vertebrates): Carbohydrates, Proteins and Lipids: Chemical structure, classification and sources of biochemically significant and metabolism. Enzymes: Nomenclature and classification, mechanism of enzyme action, factors influencing enzyme activity. Vitamins: Chemical structure, source and deficiency state of fat soluble and water soluble vitamins. Nutrition: Digestion, absorption and assimilation of various food stuffs. Respiration: Respiratory surfaces in different groups and gaseous exchange , Respiratory pigments, Transport of oxygen and Carbon dioxide. Circulation: Haemopoiesis, Heart beat and its regulation and cardiac out put, Blood flow through arteries, veins and capillaries (pulse and blood pressure) including regulation, coronary circulation and coronary occlusion. Excretion and osmoregulation: Functions of kidney, Types of nitrogenous wastes in different animal groups and their excretion, Renal excretion in vertebrates (urine formation in a mammal in particular). Nervous Coordination : Structure of neuron , nature , origin and propagation of nerve impulse , Synaptic transmission, Chemistry and functions of neurotransmitters. Muscle physiology: Structure, kinds and characteristics of muscles. 5. Cytogenetics: Chemistry of gene: Structure of nucleic acids (A, B, C and ZDNAs, RLmodel of Sasisekharan; supercoiling; genetic and nongenetic RNAs), DNA –replication (evidence for semi conservative replication); DNA repair (excision repair, mismatch repair and SOS repair), DNA repair and genetic disease in humans, Genetic Code: Properties of genetic code, Mutation and genetic code, Wobble hypothesis, New genetic codes in mitochondria and ciliate protozoa. Gene Function (Regulation of gene expression): Fine structure of gene; Benzer’s analysis of rII locus by deletion and complementation mapping; Operons in bacteria (lac and trp operons in E. coli); General introduction to complexities of gene regulation in eukaryotes, organisation of typical eukaryotic gene. 6. Genetics; Chromosome mapping: Chromosome mapping in Drosophila (single and double crossing over), human chromosomes (Somatic cell genetics). Sex determination: Chromosome theory of sex determination , Balance theory of sex determination (X/A ratio in Drosophila), Hormonal and environmental control of sex, Doses compensation in Drosophila and man. Sexuality and recombination in Bacteria and Viruses: Three modes of transfer of genetic material (Transformation, transduction and conjugation), Sexual conjugation in bacteria (F+ , F and HFR strain), F and sex sexduction. Multiple Alleles : Multiple alleles and isoalleles (Skin colour in rodents, eye colour in Drosophila , blood group in humans). 7. Ecology: Basic concepts, Rationale and approach. Habitats: Freshwater (Lakes) and Marine (Estuary). Environmental factors: Laws of limiting factors , namely temperature. Eutrophication of freshwater ecosystems: Causes, consequences and control measures. Functioning of ecosystems: Energy flow, productivity, trophic structure and ecological efficiencies. Ecology of communities: Namely dominance, various types of diversity indices, Ecotone and niche concept. 8. Evolutionary Biology, Taxonomy and Animal Behaviour: Evolutionary Biology: Synthetic theory f evolution., Micro, macro and mega evolution., Isolation and Variation. Species and speciation. Genetic drift (Sewell –Wright effect). HardyWeinberg law. Taxonomy, Introduction to systematics and taxonomy and its significance in Zoology. Modern approaches in taxonomy. Concept of zoological classification. Species concept.Rules of zoological nomenclature. Collection, preservation and identification of insects and other specimens. Animal Behaviour Innate Behaviour and Learned Behaviour Communication: Chemical communication, Visual and Auditory communication. Migratory Behaviour: Mechanisms of navigation and homing in fish and birds. Social Behaviour: Types of social acts, Parental care. Biological Rhythms: Kinds of biological rhythms, Biological clock, Circadian rhythms and their control. 9. Mammalian Endocrinology: Classification and chemical nature of hormones, Complete knowledge of the generalized mechanisms of action (at molecular level) of protein and steroid hormones. Molecular structure, origin, release and transport of sex hormone. Microanatomical and histological structure of mammalian Pituitary, hypothalamohypophysial system, Pineal, Thyroid, Parathyroid, Endocrine Pancreas and Adrenal glands, and the molecular structure , synthesis , storage, control of release, transport, denaturation and physiological actions of their hormones. 10. Developmental Biology: Fertilization: Mechanism of fertilization , early and late changes in egg organisation caused by fertilization . Cleavage and Blastulation: Patterns of cleavage, determinate and indeterminate cleavage, influence of yolk on cleavage, metabolic changes during cleavage, morulation and blastulation in frog , chick and rabbit. Gastrulation: Fate maps, morphogenetic movements in frog , chick and rabbit. Development and functions of the foetal membranes in mammals. Organogenesis: Development of brain, eye and heart in chick. Metamorphosis: Kinds of metamorphosis, Physiological and biochemical changes during metamorphosis, hormonal control of metamorphosis. Contact Details: Kumaun University Sleepy Hallow, Nainital, Uttarakhand 263001 Phone: 05942 235 563 [MAP]Kumaun University Uttarakhand[/MAP] more syllabus detail to attached a pdf file; 