You may choose to prepare a final individual project. It is optional. It can replace a missed quiz, or, if you have not miss any quiz, it can improve your final grade. Keep in mind that I have to consider the project good in order to improve your grade, and since it will involve reasonable amounts of time and effort, choose it wisely.
Although for some projects you may work in groups, each student must present his/her own paper.
The project must be typed, using a good text editor. Graphs should be plotted using a software.
Projects involving computational programs must include source and executable parts as the printed copy of the source code.
Some ideas for projects follow, but you can propose a project of your interest.
All projects must be discussed with me and I must approve them before you start working.
Below there are some ideas for a project:
Computational
pi - history and program to compute it (Taylor series p.266).
e - history and program to compute it (Taylor series p.266).
Calculus applied to problems
Landing a plane (p.240).
Speed, acceleration, and jerk on the subway - similar to the problem of landing a plane.
Calculus of rainbows (p.286).
Shape of a can (p.339).
Brachistochrone (p.690) + history + graph.
Wankel rotary engine (p.691) + history + graph.
Area Functions (p. 360).
History of Calculus
Origins of L'Hospital's Rule (p.313) + the proof of L'Hospital's Rule.
Newton, Liebniz, and the invenction of Calculus (p.409).
Computer animation - here you are allowed to work in groups
Pendulum - derivation of the formulas + animation.