Lesson 9: 11.9 Representations of Functions as Power Series
Duration of Days: 2
Lesson Objective
Students will be able to write a function in the form of a power series for functions that have a power series representation.
- What types of functions can be represented as power series?
- What happens when we try to represent a polynomial function with a power series?
- power series representation
- term-by-term differentiation and integration
(representing a function as a power series)
- To represent functions as power series.
- 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 struggle with using derivatives and integrals of functions to get them into the power series form.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book