# Business Mathematics Notes | PDF, Syllabus | B COM, BBA (2023)

Business Mathematics subject is included in B.COM and BBA, so students can able to download business mathematics notes for b.com 1st year and business mathematics notes for BBA 1st year.

A detailed business mathematics syllabus as prescribed by various Universities and colleges in India are as under. You can download the syllabus in business mathematics pdf form.

SECTION A: FUNDAMENTALS OF BUSINESS MATHEMATICS

1. Arithmetic
(a) Ratios and Proportions
(b) Simple and Compound interest including application of Annuity
(c) Bill Discounting and Average Due Date
(d) Mathematical reasoning – basic application

2. Algebra
(a) Set Theory and simple application of Venn Diagram
(b) Variation, Indices, Logarithms
(c) Permutation and Combinations – basic concepts

3. (d) Linear Simultaneous Equations ( 3 variables only)

5. (f) Solution of Linear inequalities (by geometric method only)

6. (g) Determinants and Matrices

7. Calculus
(a) Constant and variables, Functions, Limit & Continuity
(b) Differentiability & Differentiation, Partial Differentiation
(c) Derivatives – First order and Second order Derivatives
(d) Maxima & Minima – without constraints and with constraints using Lagrange transform
(e) Indefinite Integrals: as primitives, integration by substitution, integration by part
(f) Definite Integrals: evaluation of standard integrals, area under curve

SECTION B: FUNDAMENTALS OF BUSINESS STATISTICS

8. Statistical Representation of Data
(a) Diagrammatic representation of data
(b) Frequency distribution
(c) Graphical representation of Frequency Distribution – Histogram, Frequency Polygon, Ogive, Pie-chart

9. Measures of Central Tendency and Dispersion
(a) Mean, Median, Mode, Mean Deviation
(b) Quartiles and Quartile Deviation
(c) Standard Deviation
(d) Co-efficient of Variation, Coefficient of Quartile Deviation

10. Correlation and Regression
(a) Scatter diagram
(b) Karl Pearson’s Coefficient of Correlation
(c) Rank Correlation
(d) Regression lines, Regression equations, Regression coefficients

11. Index Numbers
(a) Uses of Index Numbers
(b) Problems involved in construction of Index Numbers
(c) Methods of construction of Index Numbers

12. Time Series Analysis – basic application including Moving Average
(a) Moving Average Method
(b) Method of Least Squares

13. Probability
(a) Independent and dependent events; Mutually exclusive events
(b) Total and Compound Probability; Baye’s theorem; Mathematical Expectation

14. Theoretical Distribution
(a) Binomial Distribution, Poisson Distribution – basic application
(b) Normal Distribution – basic application

Business mathematics are mathematics used by commercial enterprises to record and manage business operations. Commercial organizations use mathematics in accounting, inventory management, marketing, sales forecasting, and financial analysis.

Mathematics typically used in commerce includes elementary arithmetic, elementary algebra, statistics and probability. Business management can be done more effectively in some cases by use of more advanced mathematics such as calculus, matrix algebra and linear programming. (Wikipedia)

1. Write a short note on Set theory.
2. There are 5 elements in any set. How many elements will there be in its power set?
3. In a class of 35 students, 15 study Maths, 22 study Biology and 14 study Physics. If 11 students study both Maths and Biology, 8 study Biology and Physics and 5 study maths and physics and if 3 study all the 3 subjects, find how many students of the class are not taking any of these subjects?
4. How many ways 5 digit numbers can be formed from digits 0,1,2,3,4 if (i) the digits are not repeated (ii) the digits are repeated.
5. In how many ways can a Hockey Eleven be selected from 16 players if (a) one particular player is always to be selected and (b) one particular player is always to be dropped from the team.
6. Define matrix. What are different types of matrices?
7. The ages of Ram and Mohan are in the ratio of 5:7 and the difference between two are 12 years. Find the age of Ram and Mohan.
8. A, B and C play cricket. The runs scored by A and B are in the ratio 3:2 and B’s and C’s runs are also in the ratio of 3:2. Together they score 342 runs. How many runs did they score individually.
9. A’s salary is 25% higher than that of B. How many percent is B’s salary lower than that of A.
10. If the sum of 20 terms of an A.P. is 830 and common difference is 3. Find the first term.

If you have already studied the business mathematics notes, then it’s time to move ahead and go through previous year business mathematics question paper.

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Below is the list of business mathematics books recommended by the top university in India.

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