Page 136 - Academic Handbook FoS+29june
P. 136
MA1140: DESCRIPTIVE STATISTICS [2 1 0 3]
Introduction of Statistics: Definition, scope, uses and limitations; Types of Data: Qualitative and quantitative data, nominal and
ordinal data, time series data, discrete and continuous data, frequency and non-frequency data; Collection of Data: Collection of
primary and secondary data- its major sources, classification and tabulation of data; Presentation of Data: Frequency distribution
and cumulative frequency distribution, diagrammatic and graphical presentation of data, construction of bar, pie diagram,
histogram, frequency polygon, frequency curve and ogives; Measures of Central Tendency and Location: Arithmetic mean, median,
mode, geometric mean, harmonic mean, partition values-quartiles, deciles, percentiles and their graphical location along with their
properties, applications, merits and demerits; Measures of Dispersion: Characteristics for an ideal measure of dispersion, absolute
and relative measures of dispersion, range, inter quartile range, quartile deviation, coefficient of quartile deviation, mean
deviation, coefficient of mean deviation, standard deviation, coefficient of variation and properties of these measures; Moments,
Skewness and Kurtosis: Moments about mean and about any point and their relationship, effect of change of origin and scale,
Sheppard’s correction for moments (without derivation), Charlier’s checks, coefficients of skewness and kurtosis with their
interpretations; Bivariate Data: Scatter diagram, correlation, product moment correlation coefficient and their uses, rank
correlation, concept of multiple correlation and partial correlation in case of three variables, regression analysis.
References:
rd
1. S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand and Co., 3 edition, New Delhi, 2008.
2. V.K. Rohtagi and A K.MD.E Saleh, An Introduction to Probability & Statistics, John Wiley & Sons, 2011.
3. A.M. Goon, M.K. Gupta, B. Dasgupta, Fundamental of Statistics, Vol.-I, World Press, 2016.
4. A.M. Mood, F.A. Greybill, and D. C. Bose, Introduction to the Theory of Statistics, McGraw Hill, 2001.
MA1130: LAB ON DESCRIPTIVE STATISTICS [0 0 2 1]
The following practical will be performed using statistical software: Graphical and diagrammatic representation of data, finding the
measure of central tendency and dispersion for various types of data, computation of moments, skewness and kurtosis of data,
computation of Karl Pearson’s, partial and multiple correlation coefficient and Spearman’s rank correlation coefficient, method of
least squares, fitting of straight line, parabola and exponential curves, fitting of lines of regression, fitting of regression plane for
three variates.
References:
1. M. J. Crawley, Statistics: An Introduction Using R, Wiley, 2015.
rd
2. Gopal K. Kanji, 100 Statistical Tests, SAGE Publication, 3 edition, 2006.
CY1160: GENERAL CHEMISTRY-I [2 1 0 3]
Structure and Bonding: Hybridization, interactions, resonance, aromaticity, H-bonds. Mechanism: Notations, bond cleavage,
electrophiles and nucleophiles, intermediates, free radicals. Stereochemistry: Isomerism, symmetry, chirality, projections, D&L-
E&Z- R&S- nomenclature. Basic Concepts of Inorganic Chemistry: Structure, periodicity, ionic solids. Bonding: Covalent bonds,
hybridization, VSEPRT, VBT, MOT. s-block Elements: Comparison, diagonal relationships, hybrids. Miscellaneous: Oxidation and
reduction, acids and bases, noble gasses, radioactivity.
References:
1. J. D. Lee, Concise Inorganic Chemistry, Blackwell Science, 2008.
2. J. E. Huheey, E. A. Keiter & R. L. Keiter, Inorganic Chemistry: Principles of Structure and Reactivity, Pearson India, 2008.
3. G. W. Solomon and B. F. Craig, Organic Chemistry, John Wiley & Sons, Inc., 2010.
4. P. Sykes, A Guidebook to Mechanism in Organic Chemistry, Pearson India, 2003.
CY1138: ORGANIC CHEMISTRY LABORATORY [0 0 2 1]
Basics: Distillation, crystallization, decolourization and crystallization using charcoal, sublimation. Qualitative Analysis:
Identification, functional group analysis, melting point, preparation of derivatives.
Reference:
1. A. K. Nad, B. Mahapatra, & A. Ghoshal, An Advanced Course in Practical Chemistry, New Central Book Agency, 2011.
PY1160: MECHANICS AND SPECIAL THEORY OF RELATIVITY [2 1 0 3]
Dynamics of a System of Particles: Centre of mass, conservation of momentum, idea of conservation of momentum from Newton’s
third law, impulse, motion of rocket, potential energy, stable and unstable equilibrium, elastic potential energy, work-energy
theorem, work done by non-conservative forces, law of conservation of energy, elastic and inelastic collisions between particles.
Rotational Dynamics: Angular momentum of a particle and system of particles, conservation of angular momentum, rotation about
a fixed axis, moment of inertia, kinetic energy of rotation, motion involving both translation and rotation. Gravitation and Central
Force Motion: Law of gravitation, inertial and gravitational mass, gravitational potential energy, potential and field due to spherical
shell and solid sphere. motion of a particle under central force field, two body problem and its reduction to one body problem and
its solution, the energy equation and energy diagram, orbits of artificial satellites. Inertial and Non-inertial systems: Reference
frames, inertial frames and Galilean transformations non-inertial frames and fictitious forces, uniformly rotating frame, physics laws
in rotating coordinate systems, centrifugal forces, Coriolis force, components of velocity and acceleration in cylindrical and
119