AP Practice Exam Wednesday April 29 th, 2015 (for a grade...a small one…about 10 points) Chapter 12 Take Home Exam to turned in on Thursday April 30 th,

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Presentation transcript:

AP Practice Exam Wednesday April 29 th, 2015 (for a grade...a small one…about 10 points) Chapter 12 Take Home Exam to turned in on Thursday April 30 th, 2015 (for a grade…a larger one…100 points)

I.Overview: For this section you need to be able to complete the following mathematical processes... A. Recognize a power series. B. Be able to expand a series from sigma notation. C. Given a function, expand it into a power series. D. Write the sigma notation for a power series. E. Calculate partial sums of power series.

Example 1C: Derive a power series for: Recall:

Q: Why do we care about power series? Q: What is the area beneath e^(-x^2/2) from 1 to 3? NOTE: e^(-x^2/2) is the equation for the normal bell curve and of course an area beneath this would help to answer several interesting questions in which a distribution of data is “normal”

Series you should know REALLY well as of now…

I.Overview: For this section you need to be able to complete the following mathematical processes... A. Recognize a power series. B. Be able to expand a series from sigma notation. C. Given a function, expand it into a power series. D. Write the sigma notation for a power series. E. Calculate partial sums of power series.

C. Given a function, expand it into a power series.

A. Recognize a power series.

D. Write the sigma notation for a power series for g(x).

C. Given a function, expand it into a power series.

E. Calculate partial sums of power series.

B. Be able to expand a series from sigma notation.