## Thursday, May 21, 2020

B.Com: Semester II
Paper BC 2.3 : BUSINESS MATHEMATICS AND STATISTICS
Internal Assessment -30
Term End Exam – 70

Objectives: The objective of the course is to familiarize students with the applications of mathematics and statistical techniques in business decision-making.
Notes:
i) Use of simple calculator is allowed
ii) Proofs of theorems / formulate are not required
iii) Trigonometric functions are not to be covered
Part - A: Business Mathematics      Lectures: 26             10
Unit 1: Matrices
Definition of a matrix. Types of matrices; Algebra of matrices.
Calculation of values of determinants up to third order; Adjoint of matrix; Finding inverse of a matrix through ad joint; Applications of matrices to solution of simple business and economic problems.
Unit 2: Differential Calculus                                         20
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.

Part – B: Business Statistics
Lectures: 39                            20
Unit 3: 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 4: Bi-variate analysis                                       20
Simple Linear correlation Analysis: Meaning and measurement. Karl Pearson’s co- efficient and Sperman’s rank correlction.
Simple Linear Regression Analysis: Regression equations and estimation. Relationship between correlation and regression co-efficiencies
Unit 5: Time-based Data: Index Numbers and Time-Series Analysis                                 20
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.
1. Mizrahi and John Sullivan. Mathematics for Business and Social Sciences. Wiley and Sons.
2. Budnick, P. Applied Mathematics. McGraw Hill Publishing Co.
3. N.D. Vohra
4. S.N. Maheswari and S.K. Maheswari, Business Law, National Publishing House, New Delhi
5. Aggarwal S K, Business Law, Galgotia Publishers Company, New Delhi
6. Bhushan Kumar Goyal and Jain Kinneri, Business Laws, International Book House
7. Sushma Aroa, Business Laws, Taxmann Publications.
8. Akhileshwar Pathak, Legal Aspects of Business, McGraw Hill Education, 6th ed.
9. P C Tulsian and Bharat Tulsian, Business Law, McGraw Hill Education
10. Sharma, J.P. and Sunaina Kanojia, Business Laws, Ane Books Pvt. Ltv., New Delhi
Note: Latest edition of text books may be used.