B.Com. (CBCS)
Semester- II
Marks: 100 (Internal Assessment 20+ Term-end 80)
Lectures: 60 Tutorials: 5
Objective: The objective of this course is to familiarize students with the applications of mathematics and statistical techniques in business decision-making.
a)      Use of simple calculator is allowed.
b)      Proofs of theorems / formulae are not required.
c)       Trigonometric functions are not to be covered.

Part – A: Business Mathematics                                (23L+3T)               Marks: 10

Unit I: Matrices
Definition of a matrix. Types of matrices; Algebra of matrices. Calculation of values of determinants up to third order; Adjoint of a matrix; Finding inverse of a matrix through ad joint; Applications of matrices to solution of simple business and economic problems
Unit II: Differential Calculus                                                       Marks: 10
Mathematical functions and their types – linear, quadratic, polynomial; Concepts of limit and continuity of a function; Concept of differentiation; Rules of differentiation – simple standard forms. Applications of differentiation – elasticity of demand and supply; Maxima and Minima of functions (involving second or third order derivatives) relating to cost, revenue and profit.
Unit III: Basic Mathematics of Finance                                   Marks: 12
Simple and compound interest Rates of interest – nominal, effective and continuous – their inter relationships; Compounding and discounting of a sum using different types of rates.

Part – B: Business Statistics         (37L+2T)                               Marks: 16
Unit I: Uni-variate Analysis
Measures of Central Tendency including arithmetic mean, geometric mean and harmonic mean: properties and applications; mode and median. Partition values - quartiles, deciles, and percentiles.
Measures of Variation: absolute and relative. Range, quartile deviation and mean deviation; Variance and Standard deviation: calculation and properties.
Unit II: Bi-variate Analysis                                           Marks: 16
Simple Linear Correlation Analysis: Meaning, and measurement. Karl Pearson's co-efficient and Spearman’s rank correlation.
Simple Linear Regression Analysis: Regression equations and estimation. Relationship between correlation and regression coefficients.

Unit III: Time-based Data: Index Numbers and Time-Series Analysis       Marks: 16
Meaning and uses of index numbers; Construction of index numbers: Aggregative and average of relatives – simple and weighted, Tests of adequacy of index numbers, Construction of consumer price indices.
Components of time series; additive and multiplicative models; Trend analysis: Finding trend by moving average method and Fitting of linear trend line using principle of least squares.
Suggested Readings:
a)      Mizrahi and John Sullivan. Mathematics for Business and Social Sciences. Wiley and Sons.
b)      Budnick, P. Applied Mathematics. McGraw Hill Publishing Co.
c)       N. D. Vohra, Business Mathematics and Statistics, McGraw Hill Education (India) Pvt Ltd
d)      J.K. Thukral, Mathematics for Business Studies, Mayur Publications
e)      J. K. Singh, Business Mathematics, Himalaya Publishing House.
f)       J. K. Sharma, Business Statistics, Pearson Education.
g)      S.C. Gupta, Fundamentals of Statistics, Himalaya Publishing House.
h)      S.P. Gupta and Archana Gupta, Elementary Statistics, Sultan Chand and Sons, NewDelhi.
i)        Richard Levin and David S. Rubin, Statistics for Management, Prentice Hall of India, New Delhi.
j)        M.R. Spiegel, Theory and Problems of Statistics, Schaum’s Outlines Series, McGraw Hill Publishing Co.
(Note: Latest edition of text books may be used.)

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