Page 140 - Academic Handbook FoS+29june

GE – III (A) & LAB
MA2140: DISTRIBUTION THEORY [2 1 0 3]
Discrete Probability Distributions: Bernoulli distribution, Binominal distributions, Poisson distribution, Poisson distribution as a
limiting case of Binomial distribution, Negative Binominal distribution, Geometric distribution, Hyper-geometric distribution and
their properties; Continuous Probability Distribution: Uniform distribution, Normal distribution, Exponential distribution, Beta
distribution, Gamma distribution, Cauchy distribution and their properties; Limit Laws: Convergence in probability, almost sure
convergence, convergence in mean square and convergence in distribution, weak law of large numbers (WLLN), strong law of large
numbers (SLLN), De-Moivre-Laplace theorem, central limit theorem (C.L.T.) for i.i.d. variates, Liapunov theorem and applications of
C.L.T.
References:
1. A.M. Goon, A.K. Gupta, and B. Dasgupta, Fundamental of Statistics, Vol. I, World Press, Calcutta, 2005.
2. A.M. Mood, F.A. Greybill, and D.C. Bose, Introduction to the Theory of Statistics, McGraw Hill, 2001.
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3. S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand and Co., 3 edition, New Delhi, 2008.
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4. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 1, 3 edition, John Wiley, 2005.
5. P. Mukhopadhyay, Mathematical Statistics, Books & Allied Ltd., 2009.
6. N.L Johnson, S. Kotz and A.W Kemp, Univariate discrete distributions, John Wiley, 1992.
7. N. L Johnson, S. Kotz and N Balakrishnan. Continuous Univariate distributions I & II, John Wiley, 1991.
8. S. Kotz, N. Balakrishnan and N.L. Johnson. Continuous Multivariate distributions, John Wiley and sons, 2000.

MA2130: LAB ON DISTRIBUTION THEORY [0 0 2 1]
The following practical will be performed using statistical software: Fitting of the Binomial distribution, Poisson distribution,
Geometric distribution, Negative Binomial distribution, Multinomial distribution, Hyper-geometric distribution, Uniform
distribution, Normal distribution, Exponential distribution, Beta distribution, Gamma distribution, Weilbul distribution and Cauchy
distribution.
References:
1. M. J. Crawley, Statistics: An Introduction Using R, Wiley, 2015.
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2. Gopal K. Kanji, 100 Statistical Tests, SAGE Publication, 3 edition, 2006.

CY2160: ANALYTICAL CHEMISTRY [2 1 0 3]
Basic Concepts: Introduction to analytical chemistry. Measurement Basics: Introduction, electrical components and circuits,
operational amplifiers in chemical instrumentation. Atomic spectroscopy: Introduction to spectrometric methods, components of
optical instruments, atomic absorption and atomic fluorescence spectrometry, atomic emission spectrometry, atomic mass
spectrometry, atomic X-ray spectrometry. Molecular Spectroscopy: UV-Vis, IR, NMR, mass, Raman, fluorescence spectroscopy,
instrumentations and applications. Electroanalytical Chemistry: Introduction to electroanalytical chemistry, potentiometry,
coulometry, voltammetry, instrumentation and application. Separation Methods: An introduction to chromatographic separations,
gas chromatography, high-performance liquid chromatography, capillary electrophoresis and capillary electrochromatography,
components of instruments and applications. Miscellaneous Methods: Thermal methods for analytical chemistry, instrumentation
and applications.
References:
5. D. A. Skoog, F. J. Holler, T. A. Nieman, Principles of Instrumental Analysis, Saunders College Publishing, 2013.
6. H. H. Willard, L. L. Merritt Jr., J. A. Dean, F. A. Settle, Instrumental Methods of Analysis, CBS Publishing Company, 2012.
7. G.D. Christian, Analytical Chemistry, John Wiley, 2004.
8. D.A. Skoog, D.M. West, F.J. Holler, S.R. Crouch, Fundamentals of Analytical chemistry, Brooks/Cole, 2004.

CY2138: ANALYTICAL CHEMISTRY LABORATORY [0 0 2 1]
Analytical: TLC, paper chromatography, determination of Rf values, separation techniques.
Reference:
2. A. K. Nad, B. Mahapatra, & A. Ghoshal, An Advanced Course in Practical Chemistry, New Central Book Agency, 2011.
PY2161: HEAT AND THERMODYNAMICS [3 1 0 4]
Thermodynamics: Thermodynamic equilibrium, zeroth law of thermodynamics and concept of temperature, work and heat energy,
state functions. Laws of Thermodynamics: First law of thermodynamics, differential form of first law, internal energy, first law and
various processes, applications of first law, heat engines, Carnot cycle, Carnot engine, second law of Thermodynamics-Kelvin-Planck
and Clausius Statements and their equivalence, Carnot theorem; Applications of Second Law of Thermodynamics: Thermodynamic
scale of temperature and its equivalence to perfect gas scale. Entropy: Change in entropy, entropy of a state, Clausius theorem,
second law of thermodynamics in terms of entropy, entropy of a perfect gas, entropy of the universe, entropy changes in reversible
and irreversible processes, principle of increase of entropy. Impossibility of Attainability of Absolute Zero: Third law of
thermodynamics, temperature-entropy diagrams, first and second order phase transitions. Thermodynamic Potentials: extensive
and intensive thermodynamic variables, thermodynamic potentials U, H, F and G, their definitions, properties and applications,
surface films and variation of surface tension with temperature, magnetic work, cooling due to adiabatic demagnetization,
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