During this week-long mini-course, we approached Calculus from and intuitive and philosophical perspective. We used a motion detector to find derivatives and integrals "by graph" instead of computationally. We also explored Xeno's paradoxes, discussed properties of real, rational, and natural numbers, considered Berkeley's criticisms of Calculus as initially formulated by Newton and Leibniz, and explored how Cauchy's introduction of limits resolved these difficulties.
Dates: May 11, 2009 – May 15, 2009
Notre Dame Community Building
