Online Degree

Business Mathematics

By Mr Arun Vashista | Manav Rachna International Institute of Research and Studies

Course Outcomes:

By the end of the course, a student will be able to:

OBCOM-DS-203.1. Describe the basic mathematical tools;

OBCOM-DS-203.2. Acquire fair degree of proficiency in formulating and solving diverse Problems related to business

and economics with the help of mathematical tools;

OBCOM-DS-203.3. Acquire the practical knowledge of business calculations;

OBCOM-DS-203.4. Prepared for solving techniques of algebra and calculus which will help them in advanced courses

in finance.

SUMMARY

Course Status :	Ongoing
Course Type :	Core
Duration :
Start Date :	25 Feb 2023
End Date :	31 Jul 2023
Exam Date :
Category :
Level :	None

COURSE LAYOUT

PART - A

Unit 1: Matrices and Determinants

1.1 Algebra of matrices

1.2 Inverse of a matrix

1.3 Solution of system of linear equations (having unique solution and involving not more than

three variables) using matrices

1.4 Solution of system of linear equations using Cramer’s Rule

Unit 2: Mathematics for Finance

2.1 Rates of interest-nominal: Effective and their inter-relationships in different compounding

situations

2.2 Interest Calculation: Simple and compound interest

2.3 Loan calculation: Different types of financial loans

Unit 3: Calculus I

3.1 Mathematical functions and their types- linear, quadratic, polynomial, exponential, logarithmic

3.2 Concept and rules of differentiation

3.3 Second order derivatives

3.4 Maxima and Minima involving second order derivatives

PART - B

Unit 4: Calculus II

4.1 Integration: Standard forms

4.2 Methods of integration; by substitution, by parts and by use of partial fractions

Unit 5: Linear Programming

5.1 Formulation of linear programming problems (LPP)

5.2 Graphical solution to LPPs

5.3 Cases of unique and multiple optimal solutions

5.4 Unbounded solutions and infeasibility and redundant constraints

Unit 6: Set theory

6.1 Defining Sets

6.2 Set operations

6.3 Venn diagram

6.4 Properties of sets

BOOKS AND REFERENCES

1. Anthony, M. and N. Biggs., Mathematics for Economics and Finance, Cambridge University Press, New Delhi.

2. Ayres, Frank Jr., Theory and Problems of Mathematics of Finance, Schaum’s Outlines Series, McGraw Hill, New Delhi.

3. Budnick, P. Applied Mathematics. McGraw Hill, New Delhi.

4. Sharma, J.K., Business Mathematics, ANE Books, New Delhi.

INSTRUCTOR BIO

Mr Arun Vashista

Manav Rachna International Institute of Research and Studies

Mr Arun Vashista is working as a Assistant Professor in Manav Rachna Center for Distance and
Online Education.He is persuing phd and an MCA post graduate.He is also OCP certified from Oracle

Mr Arun Vashista having 19 years of experience five years in corporate and 14 years in education.
He has published 4 research papers in national and international conferences. His area of expertise
are Business mathematics, Business Statistics, Quantitative techniques and databases.