Mathematics for Management -- Supplementary Electronic Materials

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Curves & Optimization

Curves & Otimization -- Structure

Connecting the Properties of Curves with Derivatives

Increasing/ Decreasing Functions & Relative Extrema

The contents of this unit include: Inclination and the sign of the derivative Relative and global/ absolute extrema Critical numbers and critical points The first derivatives test Procedure of curve sketching

Concavity and Points of Inflection

The contents of this unit include: Concave upwards and concave downwards Second derivatives procedure for intervals of concavity Points of inflection Behavior of a graph at an point of inflection The second derivative test

Horizontal, Vertical & Slant Asymptotes

The contents of this unit include: Vertical asymptotes Horizontal asymptotes Slant asymptotes

Worked-Out Exercises

worked out exercises

Curve Sketching & Optimization

Summary of Curve Sketching

The contents of this unit apply the guidelines for curve sketching: Domain Intercepts Symmetry Asymptotes Intervals of increase and decrease Local maximum and minimum values Concavity and points of inflection Sketch the curve

Optimization, Marginal Analysis & Elasticity

The contents of this unit include: The Extreme Value Property Finding absolute extreme The second derivatives test for absolute extrema Maximizing profit and minimizing average cost Marginal analysis criterion for maximum profit Marginal analysis criterion for minimal average cost Price elasticity of demand Levels of elasticity: inelastic demand, unitary demand, and elastic demand

Worked-Out Exercises

worked out exercises

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