Calculus II Writing Projects
A Question of Carpeting
- Topics emphasized: Riemann sums, error
bounds
- Last Assigned: Fall 2004
The Mayor Joe Quimby Floating Gardens of Springfield
- Topics emphasized: Volumes of revolution, Archimedes' Principal, curve fitting
- Notes: While similar to "I Guess Leonardo DiCaprio Was Booked", the students found this project more reasonable. I also think it was more successful.
- Last Assigned: Spring 2010
I Guess Leonardo DiCaprio Was Booked
- Topics emphasized: Arc-length, volume and
surface area of a surface of revolution, Archimedes' Principal
- Notes: The students found this project challenging,
but they also had fun with it.
- Last Assigned: Spring 1999
Remodeling for Monty
- Topics emphasized: Volume and
surface area of a surface of revolution, Archimedes' Principal, arc length
- Notes: This has many of same mathematical ideas the previous two projects, but I think it did a good job of being challenging but still very accessible. The students did a nice job with this.
- Last Assigned: Fall 2010
A Lava Lamp for the New Millenium^{TM}
- Topics emphasized: Volume by revolution
- Notes: This project requires the students to remove any sharp points from a piecewise function. I gave a
handout that describes how to do this in Maple.
- Last Assigned: Fall 2002
The Great Escape
- Topics emphasized: Volume by revolution
- Notes: This project is essentially the same as the one on page 119 of Cohen, Gaughan, Knoebel, Kurtz and Pengelley,
Student Research Projects in Calculus, MAA, 1991.
- Last Assigned: Fall 1997
While Visions of Roadrunners Danced in His Head
- Topics emphasized: Infinite series
- Notes: The idea for this project came from page 168 of
Cohen, Gaughan, Knoebel, Kurtz and Pengelley,
Student Research Projects in Calculus, MAA, 1991.
- Last Assigned: Spring 2009
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