Week 10 = 8.6 (power series as function) 8.7 (Taylor and Maclaurin Series) ----------------------------------------------------------------------- M - 8.6 alg. ways of manipulating power series to get functions integration/differentiation of power series examples: see "Cookbook" (none of this depends on Taylor's) -- can be done individually or as class, having students present? --------------------------------------------------------------------- T - 8.7 activity: approximating functions (IC calc) (15-20 minutes) definition of Taylor & Maclaurin series practice finding T/M series for a variety of functions -------------------------------------------------------------------- W - 8.7 more examples remainder estimation ------------------------------------------------------------------- R/F - 8.7 multiplication & division of power series DIDN'T DO: activity: use of Taylor series to approximate integrals (see IC or Stewart -- we'll create) estimate e^x^2 on some interval. use Taylor series & T remainder est. -------------------------------------------------------------------