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Exponential Functions & Marginal Analysis
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Exponential
& Logarithmic Functions |
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Recap: Exponential & Logarithmic Functions - incl. Inverse Functions |
The contents of this unit include:
- Properties of general exponential functions and the natural exponential function
- Inverse functions and bijectivity (one-to-one functions)
- Properties of logarithmic functions
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Hyperbolic Sine & Hyperbolic Cosine
The contents of this unit include:
- Definition of hyperbolic sine (sinh) and hyperbolic cosine (cosh)
- Differentiation of sinh and cosh
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Continuous Compounding
The contents of this unit include:
- The notions of principal, interest rate, and balance
- Compounding and continuous compounding
- The future value of an investment
- The present value of an investment
- The effective interest rate and the nominal rate of interest
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Differentiation of Exponential & Logarithmic Functions
The contents of this unit include:
- The derivative of the general logarithmic function and the natural logarithmic function
- Logarithmic differentiation
- The Euler-number as a limit
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Exponential Models
The contents of this unit include:
- Exponential growth and decay
- Logistic growth
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Marginal
Analysis & Related Rates |
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Marginal Analysis & Approximation using Increments |
The contents of this unit include:
- Marginal analysis
- Marginal cost, marginal revenue, and marginal profit
- Linear approximation and approximation by increments
- The definition of the differential of a quantity
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Related Rates
The contents of this unit include:
- G. Polya's problem solving strategies
- A procedure for solving related rates problems
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Copyright Kutaisi International University — All Rights Reserved — Last Modified: 12/ 10/ 2022
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