Project I (Due: Oct. 17)
Select one of the following projects. Write a complete and coherent solution, preferably typewritten and using appropriate diagrams. Your grade will depend upon your choice of project, your written presentation, and the amount of effort that you invested in the project. If you wish to propose your own topic, do not hesitate to do so. But such topics must be approved at least one week before the due date. You are encouraged to use Maple as a tool whenever appropriate.
page 638 / Dot Product in Genetics
page 699 / Heat Equation
page 699 / Matching Birthdays
page 732 / Hockey and Entropy
page 733 / Fitting a Line to Data Using Least Squares
Project II (Due: Nov. 30)
One option is to explore the change of variable theorem and the
meaning of the Jacobian, as presented in section 16.7.
Other options include:
page 781 / A Connection Between e and p
page 781 / Average Distance Walked to an Airport Gate
page 823 / Shooting a Basketball
page 823 / Kepler's Second Law
page 824 / Flux Diagrams
page 861 / Conservation of Energy
page 862 / Ampere's Law
page 884 / Gauss' Law Applied to a Charged Wire and a Charged Sheet
page 885 / Flux Across a Cylinder Due to a Point Charge: Obtaining Gauss' Law from Coulomb's Law