Today we went over sigma notation and the four ways to find the area underneath a curve (lower, upper, middle, and trapezoidal). The equation for this is
we also found that
Finally, we found the derivative of with this process:
later we will learn that the definite integral equals where
The homework is work on [...]
Here is a document with the definitions Typed Up.
Definitions By Massey
Class Notes 1/23/08
Homework: Read section 5-5 (pg 195-200) and start to look at your mystery curve project.
To start the class, we went over homework on anti-derivatives.
Here’s an example of a problem:
We notice that f’(x) has a coefficient of one, so we know that the anti-derivative will have a coefficient of the reciprocal of the derivative of the inside (1/4) multiplied by the reciprocal of the exponent (1/8).
How to solve the anti-derivative:
Think [...]
This site has practice problems and explanations for everything that we’ve covered so far and probably everything that we will cover this year. I’ve found it to be pretty useful.
Here are the notes for 1/2/08
Sorry this is so late. I tried to post them on the 8th but I think that I just saved the post instead of actually publishing it on the blog. Anyway, here it is.
In class, we started class by going over homework. Mrs. Evrard then handed out a packet of problems, and the mystery curve!!!
Extreme Value Theorem: If a function ƒ is continuous on [a,b], then ƒ has both a minimum and a maximum on the interval.
Rolle’s Theorem: If a function ƒ is continuous on [a,b] and differentiable [...]
Here you guys are. Technical difficulties prevented this…
ENJOY
Blogs
hey
this website is helpful for related rate problems
http://tutorial.math.lamar.edu/Classes/CalcI/RelatedRates.aspx
class-notes.doc
