# BUSINESS MATHEMATICS AND STATISTICS part A-part B syllabus

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### (UNIVERSITY OF DELHI)

REVISED SYLLABUS FOR Courses of Reading For B.Com. for Academic Year 2006-2007 and onwards
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B.Com. Part II

Paper No. VI

BUSINESS MATHEMATICS AND STATISTICS

Duration : 3 hrs. Max. Marks: 75

Lectures: 75

Objective: The objective of this course is to familiarize students with the applications of
mathematics and statistical techniques in business decisions process.

Notes:
1. Use of simple calculator is allowed.
2. Proofs of theorems / formulae are not required.
3. Trignometrical functions are not to be covered.
PART – A: Business Mathematics
(Marks: 25)
Unit I: Matrices and Determinants
1.1 Definition of a matrix. Types of matrices. Algebra of matrices. 3 Lectures
1.2 Calculation of values of determinants up to third order. Adjoint of a matrix.
Elementary row operations. Finding inverse of a matrix through adjoint and
elementary row operations. Applications of matrices for solution to simple business
and economic problems. 4 Lectures
Unit II: Calculus
2.1 Mathematical functions and their types – linear, quadratic, polynomial, exponential
and logarithmic. Concepts of limit, and continuity of a function. 3 Lectures
2.2 Concept of differentiation. Rules of differentiation – simple standard forms
(involving one variable). 3 Lectures
2.3 Applications of differentiation – elasticities of demand and supply. Maxima and
minima of functions (involving second or third order derivatives) relating to cost and
revenue. 3 Lectures
2.4 Integration and its applications to business and economic situations. 3 Lectures
Unit III : Basic Mathematics of Finance:
3.1 Simple and compound interest. Rates of interest – nominal, effective and continuous
– and their inter-relationships. Compounding and discounting of a sum using
different types of rates. 6 Lectures
PART – B : Business Statistics
(Marks : 50)
Unit I: Descriptive Statistics for univariate data
1.1 Introduction to statistics. Preparation of frequency distributions including graphic
presentations. 5 Lectures
1.2 Measures of Central Tendency 10 Lectures
(a) Mathematical averages :
Arithmetic mean, Geometric mean and Harmonic mean : Properties and
applications.
(b) Positional Averages :
Mode and median and other partition values - quartiles, deciles, and percentiles
(including graphic determination).
1.3 Measures of Variation: absolute and relative.
Range, quartile deviation, mean deviation, standard deviation, and variance.
5 Lectures
Unit II: Correlation and Regression Analysis
2.1 Correlation : Meaning, Correlation using scatter diagram. Karl Pearson's co-efficient
of correlation: calculation and properties. 5 Lectures
2.2 Regression Analysis : Linear regression defined. Regression equations and estimation
5 Lectures
Unit III: Index Numbers
3.1 Meaning and uses of index numbers. Construction of index numbers: fixed and chain
base; univariate and composite. Aggregative and average of relatives – simple and
weighted. Tests of adequacy of index numbers. Construction of consumer price
indices. 10 Lectures
Unit IV: Time Series Analysis
4.1 Components of time series, additive and multiplicative models. 2 Lectures
4.2 Trend analysis. Finding trend by moving average method, Fitting of linear trend line
using principle of least squares. 8 Lectures
1. E.T. Dowling, Mathematics for Economics, Schaum’s Outlines Series, McGraw Hill
Publishing Co.
2. Mizrahi and Sullivan, Mathematics for Business and Social Sciences, John Wiley and
Sons
3. V.K. Kapoor, Essentials of Mathematics for Business and Economics, Sultan Chand
and Sons.
4. J.K. Thukral, Mathematics for Business Studies, Mayur Publications
5. S.K. Singh & J. K. Singh, Business Mathematics, , Brijwasi Book distributors and
publishers.
6. Zameeruddin, Business Mathematics by Vikas Publishing House (P) Ltd.
Statistics:
1. Richard Levin and David S. Rubin, Statistics for Management, Prentice Hall of India,
New Delhi.
2. M.R. Spiegel, Theory and Problems of Statistics, Schaum’s Outlines Series, McGraw
Hill Publishing Co.
3. S.C. Gupta, Fundamentals of Statistics, Himalaya Publishing House.
4. S.P. Gupta and Archana Gupta, Elementary Statistics, Sultan Chand and Sons, New
Delhi.
5. J. S. Chandan, Business Statistics, Vikas Publishing House.
6. B. N. Gupta, Statistics, Sahitya Bhawan Publishers and Distributers (P) Ltd.

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