Integration Resources You Found

Dear Students,

Elizabeth found a nice website here that has some detailed examples of u-substitution and integration of trig functions.

David like the Brightstorm video of Approximating Area for Riemann Sums.

Daniel viewed this Brightstorm video on u-substitution with integrals with radicals.

Conor liked this Birghtstorm video that included finding the average value of a function.

Chris found this U-Tube video for Trapezoidal Approximations and this website for reinforcement of the Trap Rule.

Khalid found this great website from Visual Calculus that has practice problems on u-substitution you can work and get immediate feedback on them. 

Mrs. Guthrie

Blog #11 Review of Integration

We have covered the following topics of Integration:

• Integration as Area
• Riemann Sums, Trapezoidal Sums
• Indefinite Integration
• Definite Integration
• Integration of Trigonometric Functions
• The Fundamental Thm of Calculus & The Second Fundamental Thm of Calculus
• Integration by Substitution (Indefinite & Definite Integrals)

Please respond to the following questions:

1.  Which of these topics do you feel most confident with?  Why do you think you understand/perform so well?

2.  Which of these topics do you feel lease confident with?  Why do you think you have trouble?

3.  Find one or two resources (websites, links, videos, textbook pages, notes, etc.) that covers one (or more) of your "least confident" topics you mentioned in #2.  Please take some time to review these resources as our Unit 4 Test is this week.

Blog #11 is due Thursday 12/16 @ 11:59 pm.  However, please try to complete this before our Unit 4 Test as an additional form of review.

Blog #10 What Inspires You?

Dear AP Calculus Students,

I'm interested in knowing what inspires you.  Your assignment for this week is to share one (or two) things that inspire you.  These may be quotes, pictures, videos, stories, etc.

Feel free to be creative with your post, and please be thoughtful.  :)  Due Friday 12.10.10 @ 11:59pm.

And to start, I'd like to share one of my inspirations:

"Education is one of the most powerful weapons with which you can use to change the world." -Nelson Mandela

Click here to watch a short video regarding education and school in Africa (via UNICEF and the Nelson Mandela Foundation).

Okay... so I chose an education quote.  Surprise, surprise.  I stumbled across Mandela's statement several years ago, and as I read it, I felt something inside of me move.  It was saying, "Yeah!  Preach it Nelson!"  Granted, Mandela was likely describing the education of children in South Africa, but I can only assume that he would feel the same for all children/people.  This notion, my bright AP Calculus students, is not only what challenges me to continue to pursue education as a profession, but it also encourages me to never stop being a student.


I think I've mentioned before that I consider myself a life long learner.  I love learning.  Yes.  I just said that.  I love learning.  I love knowing I have walked away from a class, a book, a video knowing more than I did before.  I love it when I have those "Aha!" moments.


The more I learn about the world (calculus included), the more open I am to other view points, the more empowered I feel to believe in a movement, the more I know how my knowledge can help others.  The more I learn, the more questions I have... which may lead to frustration or annoyance, but questions none the less.


All in all, the words of this peace activist have inspired me to never take my education for granted.


Mrs. Guthrie