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.”
Happy Holidays!
December: Introducing Integration, Riemann Sums, the Definite Integral, the Fundamental Theorem of Calculus, properties of integrals
November 30, 2012 The Old Pump
December 3, 2012 Flying Into Integration Land
December 5, 2012 Jobs, Jobs, Jobs
December 7, 2012 Under is a Long Way Down
December 10, 2012 Working Towards Riemann Sums
December 12, 2012 Riemann Sums
December 14, 2012 The Definition of the Definite Integral
December 17, 2012 The Fundamental Theorem of Calculus
December 19, 2012 More about the FTC
December 21, 2012 Properties of Integrals
An extra post more related to derivative applications:December 8, 2012 Inequalities
Teaching Calculus 