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Course Content
Syllabus
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Unit I: Limits and Differentiation
Unit II: Integration
Unit III: Applications of Differentiation and Integration in Economics and Commerce
First order and second order Derivatives
Maxima & Minima
Application to business problems.
Unit II: Integration
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Elementary integral calculus
Method of substitution
Integration by parts.
Determining Infinite and definite Integrals of simple functions
Unit III: Applications of Differentiation and Integration in Economics and Commerce
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Cost function and average cost function
Cost function and average cost function from Marginal cost function
Revenue function and demand function
Revenue function and demand function from Marginal Revenue function
consumer surplus
producer’s surplus.
Unit IV: Capital Budgeting and Depreciation
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Net Present value
Internal rate of return
Capital cost and Capital Budgeting
Depreciations
straight line method
Constant percentage method.
Unit V: Contingent Payments & Life Annuities and Life Insurance
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Introduction – probability
Mathematical Expectation
Contingent payments with time value
21UCR304: Business Calculus and Financial Computation

Cost function and average cost function from Marginal cost function – Revenue function and demand function from Marginal Revenue function – consumer surplus – producer’s surplus.

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