# BUSINESS MATHEMATICS AND STATISTICS part A-part B syllabus

------------------------------------------------------------------------------------

### (UNIVERSITY OF DELHI)

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

------------------------------------------------------------------------------------

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

Suggested Readings:

Business Mathematics:

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.