Lesson 8: 11.8 Power Series
Duration of Days: 3
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