Week 25

NOTE: The reading assignments from Stewart Chapter 10 are not to be taken overly seriously at this point. Put your primary effort into reading the Web page and the attached material instead! We will come back to the end of Chapter 10 in sequence at the end of the semester.

25.T Taylor expansions (<-READ ME)

Reference: Stewart 2.9 (review, emphasis on quadratic approximations), 10.10 (ignore infinite sums for now), 10.11, CalcLabs 10.5

Keywords: Taylor polynomial, Taylor expansion or series, Maclaurin expansion or series, geometric series, binomial series

Learning Objectives: The student will be able to:

25.R Mean value theorem, Taylor's theorem (<-READ ME)

Reference: Stewart 3.2, 10.9, 10.12 (ignore infinite sums for now)

Keywords: Rolle's theorem, mean value theorem (MVT), Taylor series, Taylor's theorem with remainder, error term, perturbation theory

Learning Objectives: The student will be able to: