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Syllabus

UNIT
1
calculus

Constants,variables and functions,limits of algebraic functions-differentiation-derivatives-first order and second order derivatives-Maxima and Minima-Applications to business problems.

UNIT
2
Integral Calculus

Elementary integral calculus-Method of substitution-determining definite and indefinite integrals of simple functions-Integration by parts.

UNIT
3
Application of integration in economics and commerce

Cost function and average cost function from marginal cost function-revenue function and demand function from marginal revenue function-consumer surplus –producers surplus.

UNIT
4
capital budgeting and depreciation

Net present value –internal rate of return-capital cost and capital budgeting-depreciations-straight line method-constant percentage method.

UNIT
5
Contingent payment, Life annuities and Life insurance

Introduction –probability-mathematical expectation-contingent payments with time value.Life annuities and Life insurance:Introduction –mortality tables-pure endowments-Life annuities –life insurance annual premium policies.

Reference Book:

1. Business Mathematics –P.R Vittal,Margham publications-Reprint 1999 2. Introduction to Business Mathematics by Sundersan and Jayaseelan, Sultan chand Co &Ltd, New Delhi, 1998. 3. Business MathematicsSanchetti D.C and Kapoor V.K, Sultan chand Co &Ltd, New Delhi, 2007 Reprint 11th edition.

Text Book:

1.Navnitham P.A,Business Mathematics and Statisticsjai publishers trichy-21(For Units I, II and III) 2. Mathematics of finance Second edition by Petrzima, Robert L. Brown, Second edition, Tata McGraw – HillPublishing Company Limited, New Delhi - 1996 (For IV and V Units)

 

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