Business Mathematics

By PROF. KARUNESH SAXENA, Prof. Karunesh Saxena | Sangam University

Learners enrolled: 668

Welcome students. The title of this program is Business Mathematics. This program is offered on SWAYAM platform with a course credit of 4 credits. The duration of the program is of 14 weeks with the assessment criteria as – 30% assignments, 30% practicals and 40% end term examination. The program will cover important topics such as matrix, differentiation, integration, maxima and minima, economic order quantity, linear programming problem, simplex, interest, depreciation etc.

At the end of the program, the student will be able to apply his practical and mathematical skills into business and various business problems to obtain optimal solutions.

Summary

Course Status :	Upcoming
Course Type :	Core
Language for course content :	English
Duration :	15 weeks
Category :	Commerce
Credit Points :	4
Level :	Undergraduate
Start Date :	14 Jul 2025
End Date :	31 Oct 2025
Enrollment Ends :	31 Aug 2025
Exam Date :	12 Dec 2025 IST
NCrF Level	5.0
Shift :	I

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

• Algebra of matrices, inverse of a matrix, Matrix Operation – Business Application

• Solution of system of linear equations (not more than 3 variables) using matrix inversion Method an Cremer’s Rule. The Leontif Input Output Model.

• Mathematical functions and their types –Linear, Quadratic, Polynomial, Logarithmic and Logistic Function. Concepts of Limit and Continuity of a Function

• Concept of Differentiation, Maxima and Minima involving second or higher

• order derivatives

• Concept of Marginal Analysis, Concept of Elasticity, Applied Maximum and Minimum problems including effect of tax on Monopolist’s optimum price and quantity, Economic order quantity

• Partial differentiation. Partial derivatives up to second order.

• Homogeneity of functions and Euler’ theorem. Total differentials. Differentiation of implicit functions with the help of total differentials.

• Maxima and Minima incase of two variables involving not more than one constraint including the use of the Lagrangean multiplier

• Integration. Standard forms. Methods of integration – by substitution, by parts and by use of partial fractions. Definite integration.

• Application of integration in marginal analysis.

• Consumer’s and Producer’s surplus, Rate of Sales. The Learning Curve.

• Rates of interest – nominal, effective – and their inter- relationships in different compounding situations.

• Compounding and discounting of a sum using different types of rates.

• Types of annuities – ordinary, due, deferred, continuous, perpetual – and their future and present values using different types of rates of interest. Depreciation of Assets, Valuation of simple loans and debentures,

• Sinking Fund.

• Formulation of programming problems (LPP). Graphical Solution to LPPs. Cases of unique and multiple optimal solutions. Unbounded solutions, infeasibility, and redundant constraints.

• Solution to LPPs using Simplex method – maximization and minimization cases.

• Identification of unique and multiple optimal solutions, unbounded solution, infeasibility and degeneracy.

• The Dual Problem: Formulation of the Dual, Primal – Dual Solutions: (Excluding solution of dual problem when the primal problem involves mixed constraints.) Economic interpretation of the dual.

Instructor bio

Prof. Karunesh Saxena

Sangam University

ABOUT ME

I am Prof. (Dr.) Karunesh Saxena, an academic leader with 35+ years of experience in teaching, research, and university administration. Currently serving as President/Vice-Chancellor of Sangam University, Bhilwara, I specialize in Quality Assurance, Behavioral Sciences, and Strategic Management.

WORK EXPERIENCE

STINT IN SANGAM UNIVERSITY, BHILWARA, RAJASTHAN- INDIA

I joined Sangam University on 1st September 2021 immediately after my superannuation from Mohanlal Sukhadia University (MLS University) on 31st August 2021

President/Vice Chancellor

Sangam University

First Term-2021 – 2024

Second Term-2024 – Current

Achievements as Vice Chancellor, Sangam University, Bhilwara

Invented following Strategic Leadership Models:

v 2021-22 -RISE- Research Innovation Skill Entrepreneurship

v 2022-23- GROW- Give Result Organization Wide

v 2023-24- LEAP - Let's Excel in Academic Pursuits (Faculty Quality)

v 2024-25- LEAP 2.0- Let's Excel in Academic Pursuits-2.0 (Students Quality)

Growth in Student Enrollment

v Achieved 100% growth in student enrollment, taking student’s number from 2000 – 4000 during my first term.

v During my tenure launched new courses i.e. B.Sc Nursing, GNM, Physiotherapy, BBA ( Logistics) and BBA Retail management

v Consequently, balance sheet of the university grew nearly 5 times.

Faculty Motivation

Launched research incentive award scheme which produced

v Projects: 22 numbers with funding from Central & State Government to the tune of approximate ₹. 5 Crores.

v Patents: 119

v Research Papers: 731

v Books: 85

v Book Chapters: 140

International MOUs

Visited Malaysia, Dubai and Vietnam and signed MOUs with leading universities there.

STINT IN MOHANLAL SUKHADIA UNIVERSITY, UDAIPUR, RAJASTHAN- INDIA

Joined M.L. Sukhadia University, Udaipur, as Associate Professor in 1997, promoted as Professor in 2007, and retired after 14 years of experience as Professor in 2021.

Director, Internal Quality Assurance Cell (IQAC)-2014 – 2021

v Led quality assurance initiatives, resulting in the university being ranked among the top 76 institutions in India by QS World University Rankings and was accredited with A grade by NAAC.

v Based on groundwork done by our team, till my superannuation in 2021, the university was awarded A grade again in 2023.

Director and Chairman, Faculty of Management Studies (FMS)

First Term-2008 – 2011

Second Term-2014 – 2017

v During my above 2 terms, I managed academic programs, faculty development, and research initiatives.

Initiatives

Students placement significantly increased during my leadership.

Member, Board of Management (Executive Council)-2009-12

v Contributed to policy-making and strategic planning for the university.

Director, College Development Council (CDC)-2011-14

v Oversaw the development and accreditation of affiliated colleges.

Previous Teaching Experience

Before joining M.L. Sukhadia University, Udaipur, as an Assistant Professor in 1997, I held academic positions at several esteemed institutions, including:

v Indira Gandhi National Open University (IGNOU), New Delhi as Associate Professor - 1996-97

v Vikram University, Ujjain as Assistant Professor-1989-96

v Indian Institute of Health Management & Research (IIHMR), Jaipur

v University of Jammu, Jammu

v Dr. Hari Singh Gour Vishwavidyalaya, Sagar

Corporate Experience

v After earning my MBA, I gained over four years of experience in MNCs, handling strategic planning, business development, operations, and client engagement. This exposure enhanced my leadership, analytical, and managerial skills, which I continue to apply in my academic and professional pursuits.

EDUCATION AND TRAINING

Ph.D. in Management (TQM & ISO 9000)

Vikram University Ujjain -1995

Master of Business Administration (MBA)

Dr. Hari Singh Gour Vishwavidyalaya Sagar- 1984

Bachelor of Science (B.Sc.)

Dr. Hari Singh Gour Vishwavidyalaya Sagar - 1982

NETWORKS AND MEMBERSHIPS

Chair Professor: Indian Council of Cultural Relations (ICCR), Ministry of External Affairs, New Delhi.

Consultant: Commonwealth of Learning (CEMCA), National Productivity Council, New Delhi.

Life Member

v Indian Society for Training and Development (ISTD).

v All India Commerce Association.

v Indian Institute of Public Administration (IIPA).

HONOURS

Accreditation Expert: Conducted 21 NAAC visits, including 19 as Chairperson.

Awards: Awarded 4 Massive Open Online Courses (MOOCs) by UGC on Statistics, Business Mathematics,

E- Commerce and Research Methodology, each having 40 video modules with combined enrollment of 9000+ learners on SWAYAM portal.

Contribution in NEP 2020: Nominated by UGC as a member of high-power committees for NEP2020 implementation

v National Higher Education Qualifications Framework (NHEQF)

v Multiple entry exit guidelines

v Ph.D. regulations 2022

v Expert Committee member in UPSC, AICTE and various public service commissions.

ACADEMIC EXPERTISE

PUBLICATIONS AND RESEARCH

Research Output

Guided 50 research scholars for Ph.D. and 6 are pursuing.

Journal Publications: 150+ papers in referred/UGC/Scopus/ABDC journals. Books/Monographs: 6 books and 1 monograph.

Patents: 4 patents published.

Educational Films: Produced 400+ films for CEC, UGC.

TRAINING AND DEVELOPMENT

Conducted training programs for over 6000 executives in public and private sectors. Delivered 1500+ lectures and workshops.

INTERNATIONAL EXPERIENCE

Assignments

v As COL (Commonwealth Learning Consultant), visited University of Peradeniya, Sri Lanka (2018).

v As ICCR Chair Professor, University of Technology, Papua New Guinea (2017).

v As Visiting Professor, Eurasian National University, Kazakhstan (2013).

Conferences & Session Chairs

Oxford University, United Kingdom; Melbourne, Australia; Singapore, UAE, Malaysia, Vietnam, Nepal, Thailand etc.

Course certificate

Internal Assessment- Weekly assessments released in the course shall be considered for Internal Marks and will carry 30 percent for the Overall Result. Out of all weekly assignments, the best/top five scores will be considered for the final Internal Assessment marks.
End-term Assessment - The final exam shall be conducted by NTA, and will carry 70 percent for the overall Result.
All students who obtain 40% marks in the internal assessment and 40% marks in the end-term proctored exam separately will be eligible for the SWAYAM Credit Certificate.