1. 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)

3. 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.

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

5. 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”

7. Series you should know REALLY well as of now…

21. 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.

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

23. A. Recognize a power series.

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

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

31. E. Calculate partial sums of power series.

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