LINKS for Math 16A

Math 16A, Section 1, Duchin

Links, Extra Credit, etc

I'll add links to course topics as they come up.

  1. I mentioned that several philosophers objected to calculus at around the time of its development. In the 18th century, philosopher George Berkeley published this rant against calculus called The Analyst: A DISCOURSE addressed to an infidel mathematician. Earlier, Hobbes had loudly argued about some of the earliest formulations of calculus, but his objections are clouded by a personal feud with mathematician John Wallis.

    Extra Credit Assignment (due Monday May 1): turn in a one-page summary of what Berkeley was complaining about (in your own words). Did he have a point?

  2. The Infinite Hotel is a story used to explain some ways that "infinity" is different from "a really big number," for instance because we would be justified in writing
    +1=, +37=, 2()=,
    and so on, but no big number satisfies these equations!

    You can read about the Infinite Hotel here and here.

  3. An illustration of the definition of derivative at work. (The closer and closer the red point gets to the green point, the better and better the turquoise line starts to approximate the curve near the green point.)

  4. Here are the three versions of Midterm 2: A, B, C. If you submit solutions by Monday, May 15 to a version other than the exam you took in class, it counts for extra credit.

  5. A differentiability applet. It's kind of complicated to figure out, but worth it. You can tell it what function to plot, and you can slide around the "hot point" and see how the derivative is changing.

  6. Here is a related rates handout from a calculus course at the University of British Columbia. It has some great problems.

    Extra credit assignment (due Monday, June 5): turn in as many of these as you want (besides 7.9, which already appeared on homework). Note: since many of these problems have the "short answer" included, you will have to show detailed work to get credit.

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