February 6, 2014 cont.

I forgot to mention that we did talk about the integral of 1/u.  When you take the integral of 1/u using the power rule you would end up getting u^0/0 which isn't possible, however the true integral of 1/u, as we discussed in class, ends up being the ln(u), since the derivate of ln(u) is 1/u this makes sense.

February 6, 2014

Today in class we started out with a POD, then we completed the homework check for 5.6.  Once we completed this, we went over how to do problems 11 and 13 on the Integral Worksheet.  We then were given FRQ 1999 #3, and had 15 minutes to work alone on the problem.  Once the 15 minutes was up we went over the answers to parts a and b, and we started going over part c when the bell rang.  We didn't learn anything new today, we just did more practice for Integrating with U-Substitution. 

HWK: Integral Worksheet #15-18, and the Fundamental Theorem of Calculus Worksheet #1-8

February 4, 2014

In class today we reviewed the FRQ 2005, and graded a sample response. We then passed our FRQ's to someone else to grade. Ms. Sommariva then checked homework 5.5 as the class completed the check. After the check we did 5.6 notes which was on the Fundamental theorm of Calculus. If you missed the notes they should be on the shared drive.
Homework 5.6 page 225 Q1-Q10, #1, 3, 7, Integral worksheet problems #7-#12

Class Minutes January 29, 2014

In class today we learned u substitution as a method for integrating functions.
To do choose what you think is the inside function and set that equal to u. Then derive u so that the derived function is equal to du/dx. Rearrange that so that you have a function for dx in terms of du and x. Go back to the original function and plug u in and what you solved for dx in for dx. Now cross things out and integrate with u still present. Once integrated the integrand and the du disappear. Now plug the original function back in for u. Add plus c to the end of your function. Now you have your integrated function.
Example: Integrate Sin3x

Class-Jan 27th

Today in class we completed a POD from the midterm exam. We got a paper to match functions and anti derivative functions. Then we got the Anti-derivatives packet and people were selected to read Brain 1 and Brain 2 for each situation. The Brain 1 and 2 talked about the thought process of finding the anti-derivatives. In that packet, we also practiced finding the anti-derivatives and they got harder as you went through the packet. Finally, we took notes on Anti-derivatives/Indefinite integrals. Our homework is 5.3 pg 202 Q1-Q10, #1-29*4, 34. Also, get ready for a concept test on related rates next class.

-Kiley

12/16 Class Review

Today in class we started out with a homework check which reviewed HW 4.3 which was about the product and quotient rule (and some chain rule, too). After we finished the check, we went over problem 10 on the homework so that we could simplify it together. By finding the GCF and factoring, we were able to simplify the answer by a lot. Next, we took notes on 4.5 which refreshed us on domain and range, and a little bit of trigonometry. We also took notes on the derivatives of the six Inverse Trig Functions. After notes, Ms. Sommariva gave us a practice work sheet to do as well as our homework which is HW 4.5 and the 2003 FRQ. If you didn't finish the practice work sheet, that is homework as well.

-Dani

12/4/2013

In class, we took two concept tests - 9 and 10 - which were on . Then we answered questions about the chain rule worksheet and went to work on the take home review, in preparation for Chapter Test Three.