Calculus
MTH6208 / 4 q.h.
Formerly MTH 3608.
Covers the techniques and practices of calculus and offers students an opportunity to develop a deep understanding of the principles, mechanisms, and issues that make the subject work, allowing one to begin to apply theory to a wide range of contexts. Personal accomplishment and a sense of perspective enable one to be an effective educator. Explores the computation of the area of curved figures (as discussed since antiquity) and the problem of grinding parabolic lenses with flat grinding planes (as arose with the invention of the telescope in the early 1600s). The impact of Newton’s and Leibniz’ discovery that these two problems are intimately connected and that the solution of one, in fact, solves the other provides the historical and mathematical context of the course.
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