Syllabus - AS2 : Mathematical Foundations II

AS2 : Mathematical Foundations II

(4 Hours – 5 Credits)

UNIT I ( without proof)

Introduction to Statistics – Primary and Secondary data – Classification,  tabulation and diagrammatic representation of statistical data - Bar-charts,  Pie-diagrams - Graphical Representation of data –Histograms,  Frequency polygon,  Ogives

UNIT II (without proof)

 Measures of dispersion – characteristics – coefficient of dispersion – coefficient of variation – moments - Skewness and Kurtosis – Pearson’s  coefficient of Skewness – Bowley’s coefficient of Skewness – coefficient of  Skewness based upon moments. 

UNIT III (without proof)

 Simple correlation – Karl Pearson’s coefficient.   of correlation – correlation coefficient for a bivariate frequency distribution – Rank correlation – Regression – lines of regression – properties of regression coefficient

UNIT IV (without proof)

Events and sets – sample space – concept of probability – addition and multiplication theorem on probability – conditional probability and independence of events – Baye’s Theorem- Concept of random variable – Mathematical expectation

UNIT V (without proof)

Concept of sampling distributions – standard error – Tests of significance based on t,  chi-square and F distributions with respect to mean,  variance . 

Text Book:

             Statistical Methods,  S.  P.   Gupta,   Sultan Chand and Sons,  2004. 

UNIT  I  : Chapter 1,  2.  2,  2.  2.  1,  2.  2.  2,  2.  2.  3

                 Chapters 4 and 5

UNIT II  : Chapters 7 and 8

UNIT III : Chapter 9, 9.  1, 9.  2, 9.  3

                  Chapter 10,  10.  1,  10.  2,  10.  2.  1,  10.  2.  2,  10.  2.  3,  10.  3

UNIT IV: Chapter 16

      UNIT V  : Chapter 18.  3, 18.  4,  18.  7.  1,  18.  7.  2,  19

Reference Book: Statistics,  Dr.  S.  Arumugam & A.  Thangapandi Issac,  New Gamma Publishing House, 2002