# data[].attributes.body
Chap 9 review:  58-65
Chap 10 review 1-4,11-15,24-27,30,37

# data[].attributes.body
FOr folks in 1st period...Here is answer to part b

# data[].attributes.body
Today I gave you a handout for HW, and you are to also do page 551/35-38,40,41 . Our Power series test will be Friday.

# data[].attributes.body
Today I gave you a paper for HW (2 sides). One side deals with building series and you can build them using whatever technique you prefer. The other side deals with taking two series...combining them to form a new function....then deconstructing them. The paper is in the folder as well. Have a good weekend!

# data[].attributes.body
Today we learned the Taylor series formula. You should be able to use the formula both ways...build a series with it....or deconstruct a series with it. for HW do page 544/3,4,11,18,23 and page 557/1,4,6,10,26 (the second page I'd use the BANFO technique). Quiz on the 6 power series you must memorize on Friday. Also, our last test will be next Thurs or Friday...keep that in mind

# data[].attributes.body
Your test on tests for convergence will be Monday!  For some extra review you can the review problems on page 530 in your book.  36-43,45,47,48,50,52,54,57
power series HW (due tues) section 9.5/5,7,11-18,27-30

# data[].attributes.body
Today we looked at an example of a power series and we found the values of x that made the series converge. We call this the Interval of Convergence. For HW, I want you to do the assignment in the folder (week 30). This is very similar to what we did in class. Enjoy AIR day 1

# data[].attributes.body
We will have a little quiz tomorrow on the ratio test and alt series test. We will also have a "test on tests" on Friday of this week.

# data[].attributes.body
Today we learned the ratio test. (it kind of works by treating everything like it is a geometric). I put a HW in the folder. Go ahead and start working on that. I realize we flew through it in class so I anticipate some issues...especially when it comes to simplifying factorials. Have a great weekend.

# data[].attributes.body
Today we learned about alternating series...These aren't too bad. We also learned the difference between conditionally convergent and absolutely convergent. We showed that a conditionally convergent series can sum up to different things based on the arrangement of the terms. HW is in the folder...however, for some reason, the parenthesis around the -1s didn't transfer over when I made the pdf conversion. I think you'll figure it out though

# data[].attributes.body
Today we learned the limit comparison test. This is the BFF of the direct comparison test. It can be used to show convergence or divergence. P-series typically make good comparers. HW is in the folder .

# data[].attributes.body
Today we took a quiz and we also learned the integral test and the p-series test. Your HW is in the folder. It is a sheet of series to test :)

# data[].attributes.body
Quiz Monday on sequences, nth term test, and geo series!!

# data[].attributes.body
Today we learned the nth term test for DIVERGENCE of an infinite series. We also learned how to tell if a geo series converges or diverges and how to find its actual sum. There is a sheet in the class folder that will be your HW. It is in folder titled week 28 and the pdf is "goe and nth term"

# data[].attributes.body
Today we learned some of the basics of sequences.  We learned what it means for a sequence to converge, we learned about bounded sequences and monotonic sequences.  For HW do section 9.1/3,5,7,11,13,17,20,22,23,63,68,69,72,73

Also buy your calculus the musical tix!

# data[].attributes.body
Your senioritis paper is due tomorrow.  Tomorrow in class, we will answer questions over the review.
Also...Calculus the Musical is coming!!!  We need to sell some tix.  Tell your calculus friends...
To order tix click the link below.
April 24
Tix $10
https://ticketracker.com/store/selecteventtickets/136233

# data[].attributes.body
We will test over differential equations on Friday. To start reviewing...take a look at p655/1,2,3,10-12,17,22,28,29,31,50

# data[].attributes.body
Today we finally learned a technique to find the equation of the solution to a differential equation. We learned the difference between a general solution and a particular solution. Try 11.4/2,3-27 odd from book. I realize it is spring break...so I am not expecting you to be rockstars at separating variables next Monday...but we will have our differential equations test probably the Friday after we come back from break. Have a great one!

# data[].attributes.body
A few people asked if I could put some more review online.  Go to the WSU text and go to page 488 of the book (not the pdf) and look at the chapter 6 review.  Try problems 7,9,11,17,20,25

Also, I just checked and the shirts are in. I'll try to go pick them up tonight. and have them for you tomorrow

# data[].attributes.body
There is a review in the folder for volume/arc length/polar...You'll need to use your calculator to find the intersection point of the curves on the first side (the bounds for the region).

# data[].attributes.body
So for this weekend's snowmageddon...you have a polar area paper to do in the class folder week 25. This will be turned in. Problems 1 and 2, must be worked out by hand....problems 4-6 can be done on a calculator with integrals shown.

# data[].attributes.body
do these now!!

# data[].attributes.body
Today we derived a formula to calculate the area of a region defined by a curve in polar coordinates.  Begin working on the problems on the assignment sheet from section 8.3.  We will spend a few days on this. Notes are in folder week 25

# data[].attributes.body
Today we derived the formula for arc length of a function. This formula has importance when you get to calc 3. For HW try 8.2/15,16,18,19,43-45,49,50,64. We will have a volume quiz tomorrow :)

# data[].attributes.body
There is a paper in the folder (week 24) that is your HW for tonight. Just set up the integrals. Make sure you have this done tomorrow.

# data[].attributes.body
Sorry to be gone today (and tomorrow)

You will have an open note quiz today.  After the quiz, you will have a geogebra activity to do today and tomorrow.

Here is the link to the geogebra sketch you will need for the activity.

https://ggbm.at/T2WaTw57

The paper the sub passed out is also in the folder.  Hopefully, this makes sense to you.  If not, we will clear it all up Monday.

# data[].attributes.body
Today we learned the volume by shell method. HW is to do the problems from Friday (not number 6 tho) but use the shell method. Your shell might be horizontal with a thickness of dy....

# data[].attributes.body
Today we learned more about how to find volumes of solids formed when you take a region and revolve it around different horizontal or vertical axis. If we are going to "stack like library books" the pieces will be dx thick...If we are going to "stack like pancakes" the pieces will be dy thick. You always "stack" perpendicular to the axis of rotation. For HW tonight, do 8.2/3,6,7,9,25-29,30,31,32,40,41,42, Most of these will be set up only...not evaluating the integrals.

# data[].attributes.body
Today we learned the second type of improper integrals (when you integrate over a VA).  We also learned about P-integrals... Try from the same section from last night numbers 15,17,18,21.   Our Integration Test is going to be Wed of next week.

# data[].attributes.body
Today we learned about the first type of improper integral (where you have infinity in the bounds).  So for tonight,  go ahead and do 7.6 / 5,6,11,12,13,20,23,30.  Also...the review at the end of the chapter (p408) has over 100 integrals to practice.  Obviously, dont try them all at once...but you should be able to do all of them from 1-100 except 77-82.  1-100 are mostly integration by parts and u-subs...partial fractions and trig subs are in 128,129,130,132,133,134

# data[].attributes.body
Quiz tomorrow on partial fractions and trig subs...it'll be 2 PF probs and 1 trig sub

# data[].attributes.body
Today we learned how to separate rational expressions into their partial fraction decompositions. We had 3 types: non-repeating linear factors, repeating linear factors, and unfactorable quadratics. The non repeating linear can be done with the Heaviside shortcut (even if you have 3 factors and an A B and C...the shortcut is done the same way). HW is in the folder in week 22. Enjoy the cold day

# data[].attributes.body
There is a doc in the drive (week 21) that has some trig subs for you to partake this eve.

# data[].attributes.body
There is a doc in the folder that has an assortment of integrals for your doing pleasure. Here is a link to an online integral calculator so you can check yourself. Do only the ones indicated on the doc. Have a good weekend!

# data[].attributes.attachment_link.description
Solve definite and indefinite integrals (antiderivatives) using this free online calculator. Step-by-step solution and graphs included!

# data[].attributes.body
For tonight...complete the one we started in class and try these two...

# data[].attributes.body
Enjoy the snowy weekend...for some more practice on parts, do 7.2/21-29,41. On problem 41, go ahead and evaluate them after you decide if its a u sub or parts...

# data[].attributes.body
Here is the old Wendy's commercial that I always think of when we integrate by parts

# data[].attributes.body
Today we learned the integration by parts formula...start working on 7.2

# data[].attributes.body
There is a doc in the folder that has some practice trig u subs.  Do 1,2,3,,15,16,17,21 on that paper. Have a good weekend.

# data[].attributes.body
In the folder is one more practice paper on U-subs.  Do the odds and 57-61. We won't have a quiz tomorrow...but prob Mon.

# data[].attributes.body
More on U-subs today...we also learned the two ways to compute a definite integral using a u-sub. And we learned how to do the Wu-Goss (Now Wu-Goss-Grooms-O'Malley) technique. Finish out 7.1

# data[].attributes.body
Today we were exposed to integration by substitution.  A couple of thoughts...deciding what to make u is the hard part (it will get easier)...how do we do a definite integral with u-sub? For HW tonight, start to work on the problems from 7.1 in the book. Don't go past 41...BTW...our book is odd and it uses the letter w instead of u... It's definitely more customary to use u tho...plus...they don't chant w-sub at basketball games...

# data[].attributes.body
Today we learned a 3rd (and final for now) form of the fundamental theorem of calculus. In the review problems that you've been working on, there are 4 of those to try (73-76). If you know how to do them, they literally will take you longer to write the problem then actually complete them.  Test still Thurs

# data[].attributes.body
Our last test for the quarter before the exam will be on Thursday of next week.  Here are some review problems for you to look at over the weekend if you'd like to get a jump on studying.   p345/2,6-27(any),30-35,49,55-59,64,65,6779,81

Riemann Sums will also make an appearance. The problems on your test will be very similar to the HW.

# data[].attributes.body
There is another practice sheet in the folder (and linked below) dealing with Riemann.  On this one, the left bound isn't 0, so that makes it a little tougher.
https://docs.google.com/document/d/1pUMI_tsGIVvNl_1kRFE8j-y_I_CFggVtzBLUH6lgh-A/edit?usp=sharing

We will have our last test over ALL of integration Thurs or Fri of next week.  Just Letting you know...

Also here  is a nice calculus the musical tune about Riemann (parodied of an Eminem song). I have tentatively booked the show for April 24

# data[].attributes.attachment_link.description
Without Riemann by icanhasmath, released 22 December 2013 "G. F. B. Riemann: No gimmicks." To find the whole area under the curve, under the curve, under the curve... To find the whole area under the curve, under the curve, under the curve... Interval: A to B. f of x.

# data[].attributes.body
We learned how to write out terms of a Riemann Sum and represent it symbolically in sigma notation today. Your HW is in the folder in week 16. It's also linked below

# data[].attributes.body
I graded the quizzes...I think some of you might benefit from another one tomorrow.  We will do a quick one :) Just computing anti-derivs...

# data[].attributes.body
Today we worked on some basic antiderivs (indef integrals). We also practiced using the fundamental theorem to compute the answers to definite integrals by hand (no calc or desmos). Work on 6.2 problems for HW

# data[].attributes.body
You will have a quest on Thursday.  Here are some review problems to look at before that.  p 310/8-15,17,21,22,24,28,27,32-35,40,41

# data[].attributes.body
Happy break.  Today we learned how to find the average value of a function.  Your next set of HW problems are from 5.4 (do what's on the sheet).

# data[].attributes.body
Tonight is 5.3 for HW...notes from today are in the folder :) Quick quiz on integrating rates tomorrow :)

# data[].attributes.body
HW tonight is in the folder in week 14. You will turn this in tomorrow... :)

# data[].attributes.body
Today we saw the integral symbol for the first time (well some of you)...we developed this from looking at areas of rectangles that represented approximations of amounts of oil added to the lake.  We talked about making those approximations better by shrinking the interval.  Eventually, we said lets make that interval approach 0 by taking a limit.

Some things to think about ...
We have to think about integration as adding stuff up....in this boat problem...what are we adding up...both physically and graphically...

RIght now we are focusing on what integration means....not necessarily how to do it.  (that will come...trust me)

Whats the difference between the sigma and the integral symbol?

# data[].attributes.body
We will be testing over all of our applications of derivatives next Wed. Today we broke apart 2 dimensional motion. We learned about speed, velocity, dx/dt, dy/dt, tangent lines...moving right...moving left...all kinds of fun!!! notes and solutions to quiz(s) are in wek 12 folder.

# data[].attributes.body
Tomorrow we will have a RR quiz. After the quiz we will start talking about 2 dimensional motion. To wet your appetite, I want you to think about how you might use calculus to answer the following questions.

# data[].attributes.body
We worked some more on the green RR sheet. The solutions to all of the problems are in week 12 folder. I couldn't screen cast them....(I need to fix the problems so I can do that for you in future). Finish this up! We will quiz over this Wed.

# data[].attributes.body
Today we started related rates!!! The sheet I gave you in class is in the folder. Remember...tonight...just try to set up...the knows/wants and maye the first equation....do not try to solve. I dont want you to try to solve it wrong if you set it up wrong :)

# data[].attributes.body
The Wilson minimum time problem is in the folder for week 11.  You will turn this in by Thursday.   You don't have to print it off...you can just do it on your own paper.  The solution must be your own (you can work together...but copying someone's is no good).   Here is what needs to be on your solution: It must be clear what function you are minimizing and All of the calculus for finding the min must be there too.    Here is a picture of the actual Wilson:

Below is a fun video of a lab fetching a stick in a lake (my dream for WIlson)

# data[].attributes.attachment_link.title
Emma the Black Lab Fetching a big stick in Lake

# data[].attributes.body
We talked briefly about applied max/min problems.  This weekend (after we beat Centerville), try problems 4.3/5,10,21

# data[].attributes.body
Today we learned the difference between a local and global max or min. We talked about the importance of the closed interval and we outline the process for finding global max/mins on a closed interval (which is in the notes in the folder in week 10). For HW tonight, do 4.2/5,7,9,11,13,26,40

# data[].attributes.body
Tomorrow we will have a quiz over max/min/increasing/decreasing/concavity and LHopital's rule.  Problems will be similar to those from HW.

Below is link to the LHopital song if you want to put it in your playlist..

# data[].attributes.attachment_link.description
L'hopital by icanhasmath, released 22 December 2013 L'Hôpital Every now and then I get a little bit of trouble when I'm taking a limit. L'Hôpital Every now and then I get a zero for the numerator and the denominator. L'Hôpital Every now and then I get a limit that's confusing in some kind of indeterminate form.

# data[].attributes.body
Tonight I have some problems for you to do out of the WSU book.  On page 280 do numbers 6,7,9,11, 50   Also on page 296 numbers 5,7,9,10,12,28

Below is link to book if you can't find it
https://drive.google.com/open?id=0B02e2-JVkabcQm5aT3F1aExOeVNxODVENlY1aWF4UERCcnpV

# data[].attributes.body
we are going to go 5 straight days without seeing each other.  :(
For Thursday and Friday:
Do 4.1 problems on your assignment sheet (these are about max/mins/inflection points

also do 4.7 problems on the assignment sheet.   (these are about L'Hopital's rule...remember that the rule can only be used when you have 0/0 or infinity/infinity)

You will have all period both days to work on this.  Make use of the time and each other .   We will talk about all of this on Tues.  Enjoy the 3 day weekend.

# data[].attributes.body
If you didn't know it....we have a big test tomorrow.  Today we learned the first and second derivative tests for local max/min. We also learned a few new terms along the way...You'll have 4-1 problems to do for HW on Tues (after the test).

# data[].attributes.headline
Local Linearity and Tangent line approximations

# data[].attributes.subject
Local Linearity and Tangent line approximations

# data[].attributes.body
Today we learned about local linearity and tangent line approximations. We talked about how to find a tangent line approx (linearizations) and determined how to tell if they were too big or too small. For HW (other than studying for big test) do 3.9 problems on the sheet.  Notes are in folder...There is one page from my geo class that slipped in to the mis...its about perp and parallel lines.

# data[].attributes.body
We will have a big derivative test on Tues.  I'd study by looking at the review problems from chapter 3/1-78,93,95,96..obviously that's a ton...don't do them all at once...some of you might not need that much practice either...

The purple sheet I gave you today is due tomorrow please

# data[].attributes.body
Work on that review....I am also posting the video in case you want to watch it this long weekend...This should have won an oscar for best digital short in 1966.

# data[].attributes.body
Today we learned the technique of implicit differentiation. This is just the old chain rule in disguise. For HW, do 3.7 on the assignment sheet. Have a great weekend. Good luck to XC, football, and band this weekend...all who have big contests...

# data[].attributes.body
Today we learned a rule to find the derivative of a general inverse function.  HW tonight is the same section(3.6) 60-63, 65.  Also...if you need practice on all of the derivatives...tonight would be a great night to do that too :)

Below is a hilarious tribute to practice. This is Alan Iverson (former NBA player) who went on a rant in a press conference after he skipped a practice.

# data[].attributes.body
Today we learned a "sneaky" way to find the derivatives of inverse functions. We derived formulas for the derivatives of inverse sine, tan and also lnx. Tomorrow we will learn a general formula. for HW tonight, do the 3.6 probs

# data[].attributes.body
Today we learned some new notation for the chain rule. This will be important for us down the road. We also learned the derivatives of the six triggies. We will prove sin's derivative on Monday. It's just too nice to not show you... If you want to get a jumpstart on the next section(3.5) problems you can. Those will be combining chains, products, quotients, triggies... Have a fun and safe Homecoming!!

# data[].attributes.body
Today we just did a bunch of problems from HW. You are going to have a quick derivative quiz tomorrow. (just need to make sure you are keeping up with your derivative rules)

# data[].attributes.body
Today we learned the chain rule . We will spend a few days on this to give you plenty of time to get used to it. Practice Practice Practice!! Start the 3.4 problems for HW

# data[].attributes.body
Today we learned the product and quotient rules for finding derivatives. We sort of flirted with the chain rule too. We didn't commit to the chain rule tho. I think we need a little more time. ...HW tonight is 3.3. You have to practice!!!

# data[].attributes.body
For the next 2 weeks or so we are going to be learning how to find the derivatives of lots of different functions. Many times it will be me showing you a technique...and then you going home and practicing it over and over.. Today...our fisrt technique was the derivatives of exponential functions. We learned the derivative of e to the x is e to the x....we also learned that the derivative of a to the x is a to the x all multiplied by ln a. Your HW tonight is 3.1 and 3.2...

# data[].attributes.body
Actually...I changed my mind... Your HW is to make sure you finish the Desmos activity that we did in class...the one I was planning on doing for HW will work better as a class activity tomorrow.  Here are some review problems to start looking at for test on Fri!!  (Chap 2 review (p116)/ 13-18, 22, 23,25,31,32,38,41,44,50,54,55,58

# data[].attributes.body
It's looking like it is gonna be a wet weekend...I cant think of anything better to do than sit inside with the AC and work on some calculus. Do what is on your assignment sheet for section 2.5. Our first test will be next Friday !!!!

# data[].attributes.body
tonight you are going to have to interpret some statements involving derivatives. make sure you give correct units. The HW is from section 2.4.

# data[].attributes.body
We will have a quiz tomorrow.  These are the things you should know how to do:
Use limit definition of derivative to find f'(x)
Find f'(x) using the power rule and constant rule
Find the equation of a tangent line to a function at a point
connect graphs of f and f' (max/mins increasing decreasing...signs of deriv

# data[].attributes.body
You should be getting solid with the connections between f and f '  .  Fow HW tonight, I want you to do the sketchy derivative activity on desmos.

https://student.desmos.com/?prepopulateCode=awcph2

# data[].attributes.body
Today we talked more about the 2-3 problems.  I'll follow up the ballon problem on Tues.  For HW tonight, I want you to do this desmos activity.  Click on the link below and "join" the class.   Make sure you log in using your gmail.  So it can keep track of you.  All you have to do is match up the derivative and its function.  When you match them...they should link together and say "two cards"

https://student.desmos.com/?prepopulateCode=eyrqqr

Have a great weekend...maybe I'll see you at the parade...

# data[].attributes.body
More workin on the derivative function today! For tonight...finish up your 2.3 problems...add to them numbers 19,21,24,28,41,43,45,47,

# data[].attributes.body
Today we showed the limit definition of the derivative function.  We also learned 3 "shortcuts" for finding the derivative. We also made some important connections between the graph of a function and the graph of the derivative. Notes are in the folder. HW is section 2.3...On the problems it asks you to sketch a derivative graph...focus on getting the SIGN (pos/neg) of the derivative...don't get caught up in the "shape"

# data[].attributes.body
Quiz tomorrow on derivative at a point. (section 2.2). Tomorrow we will dig deeper into the derivative as a function.

# data[].attributes.body
Today we went over HW problems from 2.2 and dug deeper into the meaning of derivative at a point.  For tonight, I want you to do 2.2/10,12,14,16,18,37,41,53,54,55

# data[].attributes.body
Today we discussed the derivative at a point. We learned a bunch of different ways to represent that idea. We also saw how to use a limit to compute it. HW tonight is 2.2 in book. The notes from today are in the folder. Have a great weekend!!

# data[].attributes.body
You will have a quiz tomorrow on limits and the Bauser Marbles from the other day. Also...see if you can get the equation of that dynamic line in Desmos!!!

# data[].attributes.body
We are getting close to the end of our discussion on limits.  Tonight...there is a sheet in the folder for you to practice some limits algebraically.  To get going on many of these...get your expression into a form where you can cancel something out of the numerator or denominator..This might involve some clever algebra...
.

# data[].attributes.body
So today we learned the informal definition of limit. We also learned the formal definition of continuity at a point. We also "discovered" the limit properties (limit of sum, limit of a product, etc). For HW tonight, do the assignment 1.8

# data[].attributes.body
We spent the first two days having some great discussion about the guts of calculus.  We clarified some language and set the tone for the rest of the year.  Great work!  It's going to be a great year.  Remember to do the survey !!

# data[].attributes.body
Here is the link to our class folder on Google Drive. Add this folder to your drive.