Lesson 10: 11.10 Taylor and Maclaurin Series
Duration of Days: 4
Lesson Objective
Students will be able to represent a function as a Taylor Series or a Maclaurin Series and find its associated radius of convergence.
- How do Taylor and Maclaurin Series differ from each other and from standard Power Series?
- Can all functions be represented with either a Taylor or Maclaurin Series?
- Taylor Series
- Maclaurin Series
- nth-degree Taylor polynomial
(representing a function as a Taylor or Maclaurin Series)
- To represent a function as a Taylor or Maclaurin Series and determine its radius of convergence.
- DOK Levels 1-4
- calculators and computers use power series to find values of transcendental functions to high degrees of accuracy
- describing physical phenomena such as heat transfer and wave propogation
- modeling of exponential growth
Students tend to do well with the main concept, but may have difficulty with simplifying the series.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book