AP Calculus BC 2018-2019: Advanced Integration Techniques (January)

AP Calculus BC 2018-2019:

Advanced Integration Techniques

(January)

UNIT08 ScreenCasts

We studied UNIT08 Advanced Integration Techniques and UNIT09 Special DiffEqus. These used to be two separate units, but now I just lump them all into UNIT08. 

We start with L'Hopital's Rule and the famous scene from Mean Girls. We're gonna need that rule soon. 

Then we go on to integrating inverse trig functions as well as exponential and logarithmic functions not necessarily of base e. We also covered trig powers, trig sub, by parts and partial fractions.

Last, but not least, we worked with DiffEqus requiring these techniques such as Logistics! We played with Exponential Growth and Decay, Exponential Approach and Logistic Growth and Decay models. We solved these DiffEqus analytically as above and graphically using Slope Fields and Euler's Method with our own program for the TI nSpire we called eulern().

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 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: