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
   131   132   133   134   135   136   137   138   139   140   141