III SEMESTER
BM-201: BUSINESS MATHEMATICS
Objective: To acquaint the students with the basic knowledge: of business mathematics. increase their analytical ability and to use analytical skills to facilitate managerial decision making.
UNIT I
Matrices and Determinants
Determinants - Value of determinants - solving simultaneous equation (with two & three variables) by Cramer's Rule.
Matrices - Basic concepts - Additions - 5ubtraction - Multiplication Adjoint and inverse of matrix
Progressions - Arithmetic Progression - Definition -- n1h term -- sum - 3 numbers in A.P.
Geometric progression - Definition nth term - sum - 3 numbers in G.P.
Practical problems related to AP. & G.P. 12 hrs.
UNIT 2
Ratio and Proportion -- Direct proportion -- inverse proportion
Percentage -- Commission - Brokerage and Discount
Simple Interest - Payment by Installment -- True Discount and Banker's Discount - Equated due date. 12 hrs.
UNIT 3
Logarithms - Definition -Laws of Logarithms - Common Logarithms -Characteristics and mantissa - Antilogarithms
Compound Interest and Annuities - Formula for compound interest - interest payable half yearly or quarterly - Annuities -- Amount of an immediate annuity and annuity due - Depreciation - Present value of immediate annuity and annuity due - Present
value of perpetuity 12 hrs.
UNIT 4
Formulation of simple simultaneous equations and their solution - Quadratic equations -- solution of quadratic equation by factors and by formula
Linear Programming -- Framing LPP -- solving LPP by - graphical method and
simplex method (except Duality in Linear Programming 12 hrs
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Total 48 hrs.
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BOOKS FOR REFERENCE & STUDY
1. Problems and Solutions in Mathematics - V.K. Kapoor
2. Business Mathematics and Statistics Fundamentals - B.M.Agarwal
3. Linear Programming Methods and Applications - G.V.Shenoy
4. Mathematics for Cost Accounts - Vishwanath
5. Business Mathematics -- D.C. Sancheti & V.K.Kapoor
6. Commercial Arithmetic - B.G.Iyer & S.A. Bari.
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