AP Calculus BC 2018-2019: What Is A Power Series? (March)

AP Calculus BC 2018-2019:

What Is A Power Series?

(March)

UNIT11 ScreenCasts

UNIT11 was all about generating MacLaurin and Taylor Power Series. We started by talking about what a Power Series looks like and how to find the interval of convergence. Also, we found out that where a Power Series converges it converges to a function, eg: 1/(1-x) = sigma(x^n,n,0,infinity) for all Real numbers x less than 1 and all Real numbers x greater than -1. Finally, we learned how to generate a Power Series given function by: theorem, substitution, differentiation, integration or geometric. We also talked about estimating errors when estimating functions with truncated series: Alternating Series Error Bound or LaGrange Error Term.   

We're loving our class set of TI nSPire CX CAS Graphing Calculators from Donorschoose! 

RECOMMENDED AP CALCULUS BC REVIEW:

CRIB SHEET (not given during exam) 
REVIEW BARRONS BOOK (see me)
REVIEW BARRONS ONLINE 
REVIEW KUTASOFTWARE
REVIEW DELTAMATH AB CALC FLASH CARDS
REVIEW APCENTRAL (lastest BC FRQs)
REVIEW APCENTRAL (older AB FRQs)
REVIEW APCENTRAL (older BC FRQs)
REVIEW EDX MOOC01 
REVIEW EDX MOOC02 
REVIEW COURSERA MOOC03 

XTRA CREDIT FILKS RUBRIC 
(1 video = up to 5 bonus points):

1) Use a recognizable tune.

2) Karaoke entire song changing up the words (about STEAM).

3) You are Singing, Dancing or Playing an instrument.

4) You upload your video to YouTube and provide the url.

5) YouTube Description includes the lyrics.

XTRA CREDIT ARTICLES RUBRIC
(up to 5 articles = 1 bonus point each):

1) Cover Sheet is a Summary of the article.

2) FullPage, 12 pt, DoubleSpaced, 1" Margin.

3) Article has to be STEAM related

4) Article has to be a current event.

5) Copy of entire article is attached.

Well, that's all folks!

Teaching with Technology, 

AJG

http://shadowfaxrant.blogspot.com
http://www.youtube.com/calcpage2009

A. Jorge Garcia

 

Applied Math, Physics & CompSci

2015-2017 NYS Secondary Math PAEMST Nominee

PasteBin SlideShare 
MATH 4H, AP CALC: GC or SAGECELL
CSH: SAGE Server
CSH: Interactive Python
APCSA: c9.io

APCSA: openProcessing

Beautiful Mind Soundscape: