Business Mathematics

Business Mathematics

Credits	5.0
Faculty Name	Prof. Papiya Bhattacharjee
Program	B.Com.
Academic Year and Term	2015-18 Semester-I

1. Course Description:

The course of Business Mathematics is designed to provide the Commerce students a broad based foundation of various important concepts of mathematics. Besides imparting knowledge and skill, this course will also improve the logical reasoning ability, quantitative problem formulations and solution capability and unbiased interpretation of a range of business situations

2. Student Learning Outcomes:

After successfully completing this course, the students should be able to:

understand basic concepts of mathematics and apply them to real life problems in Commerce, Economics and Management,

· improve their logical and analytical thinking,

· prepare a strong base for various professional courses like C.A.,C.W.A., M.B.A., etc.

3. Required Text Books and Reading Material

Text Book:

Business Mathematics– Kapoor V.K., Sancheti D.C.

Other recommended books:

i. Business Mathematics – Qazi Zameeruddin, Vijay K Khanna, S K Bhambri

ii. Business Mathematics – Soni R.S

iii. Business Mathematics – Digambar Patri, D N Patri

4. Tentative Session Plan (50 sessions @ 60 min per session):

Session Number	Topics/Activities	Reading
1, 2, 3	Theory of Sets : Definitions, Venn diagrams, Algebra of sets, Applications	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
4, 5, 6, 7	Sequences and Series : AP – Tn, Sn, AM, Sn, Sn2, Sn3, GP - Tn, Sn, GM, infinite series, convergence and divergence of series	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
8, 9, 10, 11, 12	Equations & Expressions: Algebraic expressions, Quadratic equations and their solutions, Nature of the roots, Conjugate roots, Common roots, Equations in two unknowns	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
13, 14, 15, 16, 17	Permutation & Combination: Meaning, n!, nPr, Restricted permutation, Some important identities; nCr notations, Restricted selection; Mixed problems of permutation and combinations	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
18, 19, 20, 21, 22, 23, 24	Matrices & Determinants: Definition of a Matrix, Algebra of matrices, Equality of Matrices, Transpose of matrix, Applications of matrix to business problems, Definition of 2nd & 3rd order Determinant, Values of determinants up to third order, Inverse of matrix (by Adjoint method), Solution of a system of linear equations having unique solution and involving not more than three variables	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
25, 26, 27, 28	Function of real variables: Constant, Variable, Interval, Function, Illustrative examples on value of a function. Functions related to business & economics, Cost Function, Demand Function, Revenue Function, and Profit Function. Definitions of Even, Odd, Linear, Quadratic, Exponential, Logarithmic, Inverse, Increasing & Decreasing functions. Graph of a function	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
29, 30, 31	Limit & Continuity: Theorems on limits (without proof), Simple examples on evaluation of limits, Continuity at a point & within an interval	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
32, 33, 34, 35, 36	Differentiation: Definition, Rules of Differentiation, Derivatives of simple algebraic functions, Derivatives of Inverse, Exponential, Logarithmic, Second Order Derivative (involving one variable) : Maxima & Minima. Practical Applications of Derivative – Time rate change, Marginal Cost function, Average Cost function. Marginal Revenue function, Maximum Revenue, Maximum Profit	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
37, 38, 39, 40, 41	Integration: Definition, Standard forms, Integration by substitution, by parts. Definite integrals – Properties (without proof), Applications of integration to business – Determination of Cost, Revenue, Profit, Demand function	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.
42, 43, 44, 45	Interests and Annuities: Simple and compound interests, Present value, Future value, Depreciation Deferred, perpetual, Loan repayment – reducing & flat interest systems	Book: Business Mathematics– Mathematics – Qazi Zameeruddin, Vijay K Khanna, S K Bhambri
46, 47, 48, 49, 50	Linear Programming Problems (LPP): Concepts & formulation of LPP, Graphical Solution of LP problems with two variables, Commercial examples.	Book: Business Mathematics– Kapoor V.K., Sancheti D.C.

5. Evaluation:

Assignments and Quizzes : Total marks of 40

Mid-term: 20 marks

End-term: 30 marks

Attendance & participation: 10 marks

Academic Integrity:

Be present inside the class five minutes before the schedule.

Be attentive in the class and sincerely solve the practice problems given in the class.

As far as possible, clear your doubts in the class itself.

Come to the class with calculator.

Alterations in deadlines are not allowed under any circumstance.