Which are you looking forward to more: winter vacation or teaching Riemann sums and the FTC? Well okay, vacation; me too – except that being retired is like vacation almost every day. Anyway, before vacation or certainly right after comes Riemann sums and the Fundamental Theorem, one of my favorite parts of the curriculum.
This is the list of past posts for December. There are a few new ones in the works for this year. The lead up to integration starts with three activities to get students started on integration ideas: “The Old Pump” , “Flying Into Integrationland.” and “Jobs, Jobs, Jobs.” The next four are the “featured post” below the first post on the home page; they form a series leading up to the Fundamental Theorem of Calculus. (The blog lists them automatically in most-recent-first order so I cannot change the order. Start with “Working Towards Riemann Sums” and read backwards.) Don’t skip the post “More on the FTC.”
December: Introducing Integration, Riemann Sums, the Definite Integral, the Fundamental Theorem of Calculus, properties of integrals
An extra post more related to derivative applications:December 8, 2012 Inequalities