Applied mathematics for business, economics, and the social sciences

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McGraw-Hill, 1979 - Business & Economics - 649 pages
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Contents

TWO VARIABLES
125
SYSTEMS
139
Systems of equations Solution sets
147
Graphical analysis Elimination procedure for 3 X
155
APPLICATIONS
161
General form and assumptions Linear cost functions
172
Assumptions Breakeven analysis
181
Introduction A scenario Structural constraints
210
Limits of functions Some properties of limits Limits
382
4 THE DERIVATIVE
387
CLASSICAL
421
Relative maxima and minima Stationary points
442
Key data points Ultimate direction
450
Revenue applications Cost applications Profit applications
465
Marginal revenue Marginal cost Marginal profit analysis
472
FUNCTIONS
490

Area of feasible solutions Incorporating the objective
222
THE SIMPLEX METHOD
229
The algebra of the simplex method Adding the objective
246
MATRIX ALGEBRA
253
Matrix addition and subtraction Scalar multiplication
266
Determining the inverse Finding the inverse using
282
Simple interest Compound interest Compound interest
295
Compound amount Present value Other applications
305
The sum of an annuity Determining the size of an annuity
311
The present value of an annuity Determining the size of
317
NONLINEAR FUNCTIONS
329
Mathematical form Graphical representation Special
340
Logarithms Properties of logarithms Logarithmic
361
DIFFERENTIATION
369
Derivatives of bivariate functions Interpreting partial
499
Stationary points Distinguishing among stationary points
511
OVERVIEW
521
Integration Rules of integration
527
The definite integral Evaluating definite integrals Definite
548
OPTIONAL
557
INTRODUCTION
567
Probabilities and odds Some rules of probability
584
Random variables Probability distributions Mean
592
5 CONTINUOUS PROBABILITY DISTRIBUTIONS
598
APPENDIX A TABLES
615
INDEX
643
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