Lesson Objective

Students will be able to recognize a power series and be able to determine its radius and interval of convergence.

- What is a Power Series?
- How does the Ratio Test apply to a Power Series?
- What is a radius/interval of convergence?

- Power Series
- radius of convergence
- interval of convergence

(finding radius and interval of convergence in a power series)

- To determine the radius of convergence and the interval of convergence of a 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 may have difficulty when checking the endpoints of an interval for convergence.

Homogeneous grouping and whole class discussion

section assessment

problems assigned from book