| Description |
xiv, 262 pages : illustrations ; 28 cm |
| Series |
MAA notes ; v. 29 |
|
Resources for calculus collection ; v. 3 |
|
MAA notes ; no. 29
|
| Contents |
Machine derived contents note: Part I. Calculus: I: Derivatives: 1. Arbitrating disputes: maximizing quadratic polynomials finds a fair solution to a labor dispute -- 2. Fitting lines to data: minimizing quadratic polynomials finds the regression line to a data set -- 3. Somewhere within the rainbow: minimizing trigonometric functions explains properties of the rainbow -- 4. Three optimization problems in computing: maximizing functions shows how to store and transmit data most efficiently -- 5. Newton's method and fractal patterns: Newton's method generates fractal designs in the complex plane -- Part II. Calculus I: Differential Equations and Integrals: 6. How old is the Earth? The exponential decay of rubidium is used to date very old rocks -- 7. Falling raindrops: four differential equation models describe how a raindrop falls -- 8. Measuring voting power: Integrals of polynomials give a measure of voting power -- 9. How to tune a radio: trigonometric integrals explain tuning a radio -- 10. Volumes and hypervolumes: integrals calculate the volumes of objects in three and higher dimensions -- Part III. Calculus II: 11. Reliability and the cost of guarantees: probability integrals predict how long equipment will last -- 12. Queueing systems: differential equations and limits analyze waiting lines -- 13. Moving a planar robot arm: derivatives guide a robot arm along a curve -- 14. Design curves: parametric curves are used in computer-aided design of automobiles -- 15. Modeling the AIDS epidemic: differential equations model the spread of AIDS -- 16. Speedy sorting: integrals, limits, and L'Hp̥ital's rule compare the speed of sorting algorithms -- Part IV. Calculus of Several Variables: 17. Hydro-turbine optimization: lagrange multipliers allocate water to hydroelectric turbines -- 18. Portfolio theory: lagrange multipliers choose a best stock-market portfolio |
| Summary |
"Everyone agrees that there should be available some self-contained examples of applications of calculus that are tractable, relevant, and interesting to students. Here they are, 18 in number ..."--P. ix |
| Analysis |
Calculus |
|
Calculus |
| Bibliography |
Includes bibliographical references |
| Subject |
Calculus.
|
|
Calculus.
|
| Author |
Benson, C. T. (Clark T.)
|
|
Straffin, Philip D.
|
|
Mathematical Association of America.
|
| LC no. |
92062281 |
| ISBN |
0883850850 |
|
