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| For WFB students...SMARTboard software |
| Using the website and the code given below, you may download SMARTboard software on your computer in order to prepare presentations for class.
SMART Technologies has come out with a new version of SMART Board software. Version 10 is now available for download at: http://www2.smarttech.com/st/en-US/Support/Downloads/default.htm
When downloading this software you will need an access code at the end of the download. The following code has been registered to our district: NB-AEAAE-BSN98-KPBMG-VKAIA. You can use this code and get a copy of this software on your home computer. |
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| Class Notes 2-25-10 Shells |
| Today we reviewed some problems from 8.2 on solids of revolution using disks and washers, and then discovered a new method named shells. Attached are the problems we went over and the full set of notes. Homework is 6.3 in packet # 1-3, 7,9,11,25. Short quiz tomorrow on techniques disks, washers, shells. |
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| Class 2-24-10 |
| (for Lauren!...hope you're reading this!)
We went through problems from 6.1, 8.1 and one from 6.2. The assingment is 8.2 in packet #5-7, 9-11. There will be a small (10-15pt) quiz on Friday on volumes of revolution...what we did yesterday and what we're doing tomorrow. |
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| Ex.Cr. Rubrics |
| If you read the last entry and apply for the extra credit, you will be interested in the grading rubric. |
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| Class Notes 2-23 Solids of Revolution |
| We discussed how to get the volume of the solid of revolution when a region is beside the axis of revolution and when it is distant. In each case for now, a typical rectangle is drawn perpendicular tot eh axis of revolution, and then rotated. Its volume is found and then the integral is employed to determine the volume of the entire solid (n of them are summed, the limit as n---> infinity is taken).
Homework is on the last page...from 6.2 in packet....circled exercises. |
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| Class Notes 2-22-10 |
| We continued studying some newer applications of integration. See notes with a couple unique examples.
We did not go over 6.1 exercises, so have those and 8.1 #1,2,4,5,6,10 fromt eh seoncd packet completed for Tuesday! Be up to date! |
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| Class Notes 2-19-10 |
| We began applications of integration today...and did some sideways integrals where x is a function of y.
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| Error Bounding practice sheet |
| Here is a practice sheet of some exercises (some were done in class) for error bounding. There's a good variety of exercises here. Level of difficulty will not be exceeded on the quest. Be familiar with the process of error bounding, |
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| True-False Answers |
| Here are the answers to true-false page 342. This is yet one more good review for teh quest tomorrow. Be sure to go over ch 7 review sheet that was due last week (and discussed in class!) |
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| Class notes 2-16-10(Error Bounding Homework Discussion) |
| Here are the solutions...both as discussed in class, and printed out.
Wednesday's Quiz (30pt) has no error bounding on it. Thursday's (20pt) does. Everyone is expected to take Wednesday's on Wed! The homework for Wed is True-false page 342. Answers are posted. |
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| Homework for Tuesday 2-16-10 |
| Here is the homework due Tuesday. Make sure you have worked on it and have written proof to show this. Problem 1 is just like one done in class Friday, so use the posted notes to go through it. |
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| Class notes 2-12 IMPORTANT |
| Review these notes well, and the associated powerpoints (the links are shown in the previous posting)...they will help you understand error bounding.
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| Remainder Bound Powerpoints |
| Here are great powerpoints that I use to help teach the LaGrange Remainder and error bounding process on Taylor Series.
http://www.online.math.uh.edu/HoustonACT/Greg_Kelly_Calculus_Lectures/Calc09_3.ppt
http://mrwyatt.com/Class_APCalcBC/07_PowerSeries/Day%206%20-%20More%20Taylor%20Series.ppt
Here is a great demo of the difference between the approximating polynomial and the function (for e^x).
http://www.calculusapplets.com/lagrange.html
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| Class Notes 2-08-10 Simpson's Rule |
| Here are the notes on our last numerical integration technique: Simpson's Rule. We downloaded into our TI-89s a program called Nintegra (bring link cord and get from student). The assignment is 7.6 exercises....be ready for a homework quiz (7.5-7.6 coming up) and a brief numerical integration quiz Wed (manual-trap,mid, simpsons, with error). |
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| Class Notes Friday 2-5-10 |
| We did two numerical integration techniques today after reviewing how we might estimate the value of the integral of e^(x^2) from x=0 to x=1(use replacement series in e^x...replace x with x^2, then integrate....OR use LH/RH sums...OR....do the numerical techniques of Midpoint rule or Trapezoidal Rule we will learn in class today!).
The homework for Monday is 7.5 exercises in the textbook.
I checked today for completion of the Integral Review sheet and the BC work (if you are BC student). Please show me those before class on Monday. |
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| Class notes Tuesday 2-02-10 |
| Here are the notes from Tuesday. If you missed the day, count the quiz as your drop quiz and try to be present for the review on Wednesday. Read through all the notes here as there are some at the end. Quest is Thursday. Homework is 1-25 page 431 (true false...provide reasons too. Answers are posted). |
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| 9.3 Answers |
| Here are the answers to all of section 9.3 which was assigned over two days. |
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| Sue Lim's Review |
| Here it is...although some of the mathematical font may not transfer well and formatting didn'
transfer well, check it out! |
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| Homework for Monday |
| 1) Do the back of the attached sheet 2) Do 10.4 # 1,7 .
3) Do the front of the attached sheet (# 9 is long if you didn't do homework 10.2)
4) Make sure to check over improper integral worksheet. |
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| Class Notes (Partial Fraction Decomposition)-1-08-10 |
| Here are the notes for the final technique of integration. The test is Wednesday. The assignment is to follow.
Before we began this, we also reviewed derivatives and integrals of sec(x) and csc(x) (the integral of csc(x) is new). |
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| Improper Integral Worksheet Solutions |
| Please note that # 3 now can be done using PFD, which wasn't learned at the time the sheet was assigned (and is the reason I told you to skip #3). I have shown a different method here since you had not learned PFD at the time. |
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| Some ch 10 problems from class |
| Here is some student work on the ch 10 problems done in class on 1/06/09. Check out WolframAlpha (the website) and type in your expression that you'd like to integrate. This amazing program not only integrates, but explains each step as we've done in class. |
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| Homework for Wednesday |
| 10.3 in packet # 1-3,5,7,8,11,12,16,30 Be ready to discuss homework and take a daily quiz. |
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| Class Notes-Trig Substitution (Technique #4) 1-05-10 |
| This is a bit more involved than the other techniques and relies heavily on your ability to construct and label adequately a Pythagorean triangle. Algebraic integrals are converted into trigonometric ones and solved (using identities most frequently) and then converted back into alegbraic solutions. |
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| Class Notes-Trig Identities (Technique #3) 1-04-10 |
| Today after our daily quiz, we did Technique number 3: Trig Identities. Attached are the notes, as well as the homework problems (listed on one of the last slides). Stay up-to-date on these techniques! Test early next week (tuesday). |
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| 10.1 problems page 2 |
| Here is page 2 of the homework in case you did not receive a packet...or temporarily misplaced it. |
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| 10.1 problems |
| Here is page 1 of the homework in case you did not receive a packet...or temporarily misplaced it. |
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| Class Tuesday--Some miscellaneous review problems |
| We did not have a daily quiz today...but we will on Monday January 4th, and everyone is expected to take it, so be caught up. All notes are posted on-line.
Have a wonderful break...review before you return. Remember that after break the write up from Friday Dec 18th is due and also a semester review if you choose to do it. 10.1 # 24,25,31,45,50 are due from the handout. |
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| Class Monday---12/21/09---Integration by Parts |
| Today we had our daily quiz, looked at the quest and began Integration by Parts. Attached are the notes for that. The assignment is out of a packet 10.1 #1-3, 9,11, 13,14, 19-21,24,25,31,45,50. I cannot post that so you'll have to pick up your packet ASAP. If you were absent, you'll want to come to room 343 at ISHP. There is a one-time deal not offered after break. |
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| Class Thursday |
| Here are some more Substitution Examples.
Go over these, look/read 7.1 in textbook and do 7.1 exercises for Monday! |
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| Calculus 12-14-09 |
| We went through the Antidifferentiation Handout that was due today (see attached answers) and also what would be on the Quest Wed & Fri. Tuesday and Thursday will be new material. These dates were chosen to avoid other tests & conflicts. |
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| Homework for Monday 12-14-09 |
| Here is the homework for Monday. There is an extra 'dt' in one of the fundamental theorem problems. Just cross it off.
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| TI-89 Diff Eq Mode Notes 12-11-09 |
| Today we did a warm-up and learned how to graph diff eq solutions with initial condition on our TI-89s. Make sure to use 't' as the variable. |
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| Homework for Friday 12/11/09 |
| See the worksheet (we did the top part of the first page in class as notes). The remaining portion is due Friday with 6.4 book exercises #3, 10-12,16-18. |
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| Notes from class 12/10/09 |
| We discussed/reviewed briefly the idea of differential equation...and what it means to solve one (very same thought process as antidifferentiating...but we learned the meaning of initial condition/boundary value also. |
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| Class 12/09/09 |
| We did two warm-up problems before we went through the 6.2 homework. Here are those two exercises. The 6.2 homework can be checked on your TI-89, or you can see me for answers once you have completed it. |
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| Class 12-08-09 |
| Today in class, we went through the homework and a few example problems (see attachment). The assignment for Wednesday is 6.2 problems in the text (see your list). |
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| 6.1-6.2 worksheet (OFL for Tuesday12/08/09)) |
| Here is the homework for Tuesday. Today in class, we discussed the test and also the Second Fundamental Theorem worksheet that was assigned for today. While nice, that discussion was not a prerequisite for this worksheet. You may need to look at your ntoes for how to differentiate an integral (go back to your chapter notes on integration). |
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| Review Sheet(s) Solutions |
| Here are the solutions to all the more challenging (word) problems and all but one of the exercises on the review sheets. |
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| Second Review sheet |
| Again, both of the review sheets are optional. You will have time to look at them in class on Wednesday before the test. No new material is covered. |
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| Review Sheet 1 attached & Class 12/1/09 |
| Today in class, we went over one Newton's method exercise, and then played a fun visual game of Newton's method. I distributed two review sheets for the test, both optional, and attached. The test has been shortened....only requiring additional 20 minutes or so on Friday. |
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| Newton's Notes 11/30/09 |
| Here is the very last topic in this chapter---Newton's Method for finding roots. On Thursday and Friday we will have a test (you may come early-5th/6th hour students). Here are the notes for finding roots to a desired decimal accuracy using Newton's method. |
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| Related Rates Notes (11/23/09) |
| Here are the notes from today. Related Rate problems are not as big as Optimization problems, and there is a relatively easy strategy for solving them (you have been introduced to in the derivative chapter). |
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| Related Rates Notesheet 11/23/09 |
| Here is the note template for our next application: related rates. The assignment for tomorrow is on the handout (see scanned sheet next). 4.8 # 1,3,5,7-9,11
Tomorrow, be prepared for a hmwk check and your one question optimization problem quiz (chosen from homework on opt problems). |
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| Optimization Solutions 4.6 #35, 5.5 & 5.6 |
| Here are the solutions to the last homework on optimization. Go over all solutions well enough you can do these problems on your own in a reasonable amount of time. |
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| Optimization Solutions Through #29 |
| I've posted now all the solutions-completely written out for your learning pleasure. Please review these to the point you could solve them on your own....you will be asked to do so on one problem on Tuesday.
The homework for Monday are more problems in the packet: 4.6 #35, 5.5 #1,3 5.6#8 and 15 (15 is extra credit provided all other problems are completed...to be shown to me at 11:50 on Monday). |
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| Optimization solutions through #18 |
| Here are complete solutions to the first 6 major optimization problems (#1 is not posted since it was written up in class, and is easy).
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| Optimization Note Template 11/17/09 |
| This is the template for the notes we took on Optimization. This is a challenging unit because of all the past math used. Keep up with assigned problems and do your best. Quiz is Wednesday (on 1st/2nd Der Test and Taylor Poly...NOT optimization). |
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| Worksheet worked on in class 11/13/09 |
| This one problem worksheet was worked on in the last 15 minutes of class (5th hour, when I am posting this). The assignment for Monday is to check over Thursday's homework with the key posted, finish this one problem and do 4.1 exercises in the text. |
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| Notes on Friday 11/13 |
| Today, we recapped what we are doing, and went through the tests for Points of Inflection (which are the First and Second Derivative Tests using f ') Don't let the titles mess you up since when using the First Derivative Test for P.I. you are really testing before and after the c.p. for f ' in f ' !!! (to see if there's a change in sign in f ' or a change in concavity in f!). |
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| 11/04/09 L'Hopital's Rule (notes) |
| Today we discussed another means of determining indeterminate limits (0/0 or infinity/infinity types). This involves examining the comparative rates (or derivatives) that the numerator and denominator travel to 0's or infinities. |
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| 11/02/09 Derivative of ln(x), review and more implicit diff |
| Here are notes and review taken in class on Monday, November 3. Stay on top of all the formulas lest you get buried. The homework is the list of problems from 3.6 within the notes (NOT all the 3.6 exercises listed in your homework handout). |
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| 10/28/09 Derivative of Trig Functions Notesheet |
| Here is the notesheet provided in class. Use it to take notes on from the next on-line entry, Going through it yourself will help you learn it. By Monday, know the derivatives of all six trig functions, and how to apply them (hmwk: 3.5 exercises in text). |
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| Answers to Practice worksheet |
| Here are the answers to the practice worksheet. Make sure to check your work on this! Most of the quiz is just like this.
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| Practice Worksheet for Quiz prep 10/26/09 |
| Do the attached practice sheet of derivatives (answers are posted too!), CHECK them, and then do some from the 3.3 sheet (on the bakc of a handout from product and quotient rule practice). About 95% of your quiz will be exercises like those on this practice sheet of derivatives(attached). |
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| 10/23/09 THE CHAIN RULE |
| This is the most important rule of differentiation!! Here are the notes we took in class. Please write them out yourself so as to take your brain through the thinking process. THe homework (OFL) are the exercises in 3.4. On Monday, we will present 3.2-3.4 homework so bring it to class. On Tuesday there is a quiz. |
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| 10/21/09 Notes |
| We discovered through use of our table what the derivative of an exponential function was (and reviewed some other cool facts before that).
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| Review Game part 2 |
| Here are the questions for the multiple choice. Don't worry about questions past page 7 (on derivatives, etc). |
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| Answers to Review Sheet page 2 |
| Here is my second page of solutions to the review sheet. Extra credit point if anyone finds anything wrong and proves it to me after school (I don't think anything is wrong but then again, I can make mistakes). |
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| Answers to Review Sheet page 1 |
| Here is my first page of solutions to the review sheet. Please check over them carefully! And then do the individual review sheet handed out in class Thursday (also found linked below). |
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| Individual Review for your calculus test |
| This is the form that was handed out in class Thursday as your last assignment before the test. It will be collected. Feel free to stretch out the space here if you need it.
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| 10/12/09 FUNDAMENTAL THEOREM NOTES |
| Here it is...what we've all been waiting for! The connection between derivatives and integrals. REMEMBER THAT THE DEFINITE INTEGRAL MEASURES THE CHANGE IN THE ANTIDERIVATIVE!!!!! This is our new chant.Know it. Know it well. |
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| 10/12/09 FUNDAMENTAL THEOREM notesheet |
| This was an incredibly BIG day for it connected the two main branches of calculus--differential and integral. Here is the note sheet. I suggest you use it to REWRITE and process the notes posted above. |
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| 10/09/09 Notes on 5.3 and Perspectives of the Definite Integral |
| Today, we summarized what we know about the definite integral, did some problems and then learned how the definite integral can be used to determine the average function value (AFV)! The OFL (Opportunity for learning assignment) is 5.3 exercises. An extra credit worksheet was also provided (to be done only after 5.3 exercises are completed) and is due Monday at noon. Charlie Hoover has copies for Luke and Gabe. |
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| Formula Sheet |
| It is very important to now keep track of key definitions and formulas in Calculus....it is imperative that you not only know what you know, but also know what it is that you don't! |
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| 10/07/09 #3 Notes |
| Here are the notes detailing the development and mathematical definition of the definite integral. Some practice problems are included too. |
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| Intro to the Definite Integral Notes 10/05/09 |
| We got about 15-20 minutes into the next unit (the second branch of Calculus) and will be continuing this idea tomorrow (and for the remainder of the unit and course!). Please review, and work the worksheet up to the point we stopped and you will be caught up. This is section 5.1 in your textbook. |
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| The Review sheet solutions |
| As promised here are the solutions to the sheet that you picked up in class. Review well for the quiz tomorrow. After Friday, we will be leaving derivatives for a little while so this is a wrap for now.... |
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| Some Wrap-up Review Questions and Answers |
| Here are just a few good questions designed to quiz your skills before you actually take the quiz. There are answers at the end, but don't peek until you test yourself. |
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| Second Derivative Notes 9/28/09 |
| Here are the notes on the second derivative, or a summary of the outcomes of Lab 11 questions. These notes are initially introduced via the context of physics examples but then generalizations are made. The homework is to review these notes and Lab 11 questions, and to do 2.6 in the textbook. There is a quiz on Friday. |
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| Homework Expecations |
| Please read this document thoroughly.
It has been shown in the past that home WORK leads to success in Calculus.
There is not a lot of it (until the weeks before the AP), so take the assignments and expectations stated here seriously. |
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| ASSIGNED TEXTBOOK PROBLEMS |
| Here is the list of assigned book problems for the year. A few problems may be added or deleted, so please stay tuned in class! |
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