| Description |
xiv, 206 pages : illustrations ; 28 cm |
| Series |
MAA notes ; v. 30 |
|
Resources for calculus collection ; v. 4 |
|
MAA notes ; no. 30
|
|
Resources for calculus collection ; v. 4
|
| Contents |
I. Derivatives -- Optimal design of a steel drum / John Ramsay -- Finding the most economical speed for trucks / John Ramsay -- Designer polynomials / Charles Jones -- Cruise control / Eric Robinson, John Maceli, Diane Schwartz, Stan Seltzer and Steve Hilbert -- Security system design / Steve Hilbert, JOhn Maceli, Eric Robinson, Diane Schwartz and Stan Sseltzer -- Designing a pipeline with minimum cost / John Ramsay -- Crankshaft design / Steve Boyce -- Valve cover design / Steve Boyce -- The tape deck problem / Matt RIchey -- II. Antiderivatives and definite integrals (pre-fundamental theorem) -- Population growth / Wayne Roberts -- Drug dosage / Diane Schwartz, John Maceli, Eric Robinson, Stan Seltzer and Steve Hilbert -- Logarithms: You figure it out / Matt Richey -- Numerical integration and error estimation / Steve Boyce -- An integral existence theorem / Steve Boyce -- A fundamental project / Charles Jones -- III. Applications of integration -- Inventory decisions / Steve Boyce -- Tile design / John Ramsay -- Minimizing the area between a graph and its tangent lines / Steve Boyce -- Riemann sums, integrals, and average values / Eugene Herman and Charles Jones -- The ice cream cone problem / Matt Richey -- IV. Multivariate calculus -- Waste container construction / John Ramsay -- Own your own function of two variables / Eugene Herman and Anita Solow -- Three cylinder intersection problem / John Ramsay -- Gradient method optimization / John Ramsay -- V. Historical projects -- Archimedes' determination of the area of a circle / Mic Jackson and Sarah Angley -- Archimedes' approximation of [pi] / Mic Jackson and David May -- Zeno's paradoxes / Charles Jones...Mic Jackson and Will Carter -- Archimedes' determination of the surface area of a sphere / Mic Jackson and Krista Briese -- Newton's investigation of cubic curves / Jeffrey Nunemacher -- Cavalieri's integration method / Mic Jackson |
| Summary |
"Calculus students should be expected to work on problems that require imagination, outside reading and consultation, cooperation, and coherent writing. They should work on open-ended problems that admit several different approaches and call upon students to defend both their methodology and their conclusion. Here is a source of 30 such projects."--P. ix |
| Analysis |
Calculus Problems, exercises, etc |
| Subject |
Calculus -- Problems, exercises, etc.
|
|
Calculus -- Problems, exercises, etc.
|
| Genre/Form |
Problems and exercises.
|
| Author |
Jackson, Michael B. (Mic B.)
|
|
Ramsay, John R.
|
| LC no. |
92062282 |
| ISBN |
0883850869 |
|
