Belated BOB and Post Reflectionisms

So, as much as I'd like to say that I totally did this last night, I totally didn't. I 100% completely forgot, so here it is now, along with a special edition post test thought analysis kinda deal.

So Differential equations. For the most part, I found this unit quite easy conceptually. I understood most of what I was supposed to do and when and things, but I would always make stupid mistakes which cost me the whole question. I think this is mostly a matter of needing to do more questions so that I get out of the habit of overlooking those little bits. That said I don't think I did so well on the test D:

For the most part all I can really say about the test is I blanked. I was feeling pretty confident in the concepts and applications of them, and then as soon as I sat down to write the test, it was like someone opened a window in my brain, and whoosh, it all flew out. bleh, to say the least.

Anyways I'm looking forward to reviewing further, and covering all the loose ends I have with the course, as at this point in time it feels like I have alot ;P

But chyeah, Justus out for now.
Night all :]

bob

BOB, again!!! Almost forgot to do it.
OK I went through the Chapter yesterday, everything seems to be easy and also hard.
I'm having trouble with most of the word problem question.
In this unit you always have to think through the whole question and find the giving data.
It's really easy to miss some parts.
OK I have to o back to review now, good luck everyone!!!

The Final BOB... or so I think

I actually quite enjoyed this unit. It was a great finale to the cours.e I liked the end of this unit in particularly, but I didn't appreciate Euler's method because I kind of still don't understand it. I kind of don't remember it. ALl I vaguely remember is that it was a method used in slope fields?

The other thing that I had trouble with, was the basic math. Simple precal. I seem to be over thinking things. Not really anymore, since I've been practicing, so I feel really confident about this test. That part at least.

Newton's law. Again, the only thing was the basic math, but now, the bigger problem to me is how to set up the function. But seriously.. I've never felt better about any other test. Let's hope this feeling stays this way and hope that Euler's doesn't get out and take me down.

PS. I LOVE LEIBNIZ NOTATION!

BOB of Differential Equations

I understood most of this unit, and most of it made sense. Looking at the pre-test, the thing I want to work on most is identifying what kind of solution I should use for a problem. But I liked how a lot of the stuff we did before sort of mixed together in this unit, and it was almost like a review of older stuff (particularly, logarithms...). I found I sometimes got held up on the pre-calculus, which means I might want to brush up on that. 

Also, Newton's Law of Cooling was a little confusing, but I think I get it. I only run into problems when solving for C or pinning down the original function when given a point on the original function.

I think the test should go well for me, and hopefully well for everyone else. Good luck guys!

Differential BOB

So at first the unit started off nice and slow. Quite easy to understand for the most part. I liked it. Then it was weird because somewhere along the way in the middle of the unit, it was like my mind just blanked out and everything was blurry and unclear. Mind you this is just me.

The Eulers Method I will study up a bit on because I don't quite remember it... At all.

Newtons Method of Cooling I believe I had the easiest time with (being that it was taught last) and that I seemed to catch on how to do it. I felt comfortable doing the questions and they just seemed tedious, and sometimes mind wrapping.

Differential Equations BOB

When we first started this unit, it was quite easy. We learned a lot of stuff in this unit from our previous units. The Euler's Method when done by hand was tedious, but not hard. Slope fields were pretty cool to draw.

We went into the velocity and acceleration problems next. It's much easier to follow the question by writing down everything that's given in the question, and from the initial information, finding hidden information by doing a bit of work.

Newton's Law of Cooling was not bad in class, but looking back I can't remember much about it. I still have trouble on when to use certain equations and using the calculator to solve certain problems, so I'm still sort of worried. I just wish we had a class today for review or maybe a formula sheet, I suppose this would help by refreshing my memory on the different equations. Good luck on the test everyone.

BOB

So this last chapter was a nice closing to the course. What I had trouble with this unit was separating the variables. It wasn't the calculus that was messing me up but the algebra. After doing a lot of questions with separating, I'm used to doing them now without making mistakes. Some other things that have been messing me up on a lot of questions is antidifferentiating. I know it should be a breeze but I just can't remember that darn + c. It looks like it just doesn't belong there XD.

K so studying for the next 2 hours. I really wanna do good for this last chapter :(

BOB for Differential Equations

This unit was a breeze after what we've done in the past units. The thing that I liked about this unit was that it combined almost everything we learned in the past units including the derivatives, integrals, and all of their applications. The slope fields part of the unit was something that I was looking forward to since the beginning of the course. Some of the students that took the AP Calc Course last year showed me the kinds of things that I will be learning and I saw the slope field. I was confused at how something like that could be drawn on the Cartesian Plain. Well now I know.

This is our last unit guys and it will be time to do some more crazy studying for the remaining of the month before the exam. With enough studying we will be ready to take on the exam.

Good luck on the test on Thursday (?) and on the exam next month.

BOB: Differential Equations

Looking back, this unit wasn't that bad. Most of the content in this chapter were things that we should already know, such as the first and second order equations. Those parts weren't so bad to deal with. I found myself becoming quite fond of the Newton's cooling law questions as well. They were fun to do once I actually started getting past my pre cal problems with them.

The slope field and Euler's method things were so so for me. I admit having some trouble seeing a certain function within some slope fields, it takes me a while for the more difficult ones. As for the Euler one, doing that manually was a real pain in the butt. There was so much more room for errors that I had to restart the assignment that was given around that time about five or six times. Yes, I messed up that much.

And of course there was the differentiating by separating the variables using the Leibniz notation thing. I really didn't like the Leibniz notation at first, but I can see why we should learn to love it. Admittedly, I did fail hard at recognizing where to do the separation of the variables on the pre-test. Maybe I'm just too used to the other notation better, or I was thinking too hard but I think I should be able to get it on the test! Other than my utter lack of ability to spot when to separate, I'm confident in actually differentiating using this method when I actually do spot it.

Emm..I think that's it. Yes, good luck on the test on Thursday my fellow peers. I shall now go back to cry at the fact that I can't edit my Question 9 on the wiki page.

BOB v.9: Differential Equations

The intro exercises were simple at first since it's a review of chapter four, including those questions where we had to antidifferentiate the acceleration due to gravity twice to get displacement, until they started asking questions that I haven't learned until later on in the chapter. Luckily, I caught on, but, unfortunately, I still forget the +C when antidifferentiating...and it becomes more of a problem when there are more than two +C's for those questions where we antidifferentiate both sides after separating the variables. And antidifferentiating e^-t...I'll be prepared the next time I'm asked to antidifferentiate e^-t.

Solving differential equations graphically via slope fields, as I remember, was the easiest out of the three ways to solve a differential equation, since all there is to do is draw lines at each (lattice) point on the graph OR use prgmSLOPEFLD to draw the lines for me.

Solving differential equations numerically via Euler's method was a bit too much to absorb at first, but reviewing Newton's linear approximation technique was helpful since those two methods are similar.

Solving differential equations symbolically via separation of variables was a doozy, although I personally prefer this method over the numerical method, just because. Comparing the separation of variables questions in our book to the questions on slides, to me the slides were harder (and more helpful) since the slides had just more.

I'll admit the pretest wasn't my best pretest though, but I did keep track of where I went wrong! The main thing I need to watch out for are those +C's!

Bob

Hi, here I'm 7:50 in the morning to do the bob.
This unit is mostly about xolume, and who u can see the washer.
We looked volume by shell and slicing.
We learned a new way to find average value of a set of numbers.
This umit covers a lot of things that is kind of hard.
I try mu best to usr the rest of the morning to study and do good on the test.
Well, see u!!!
Hope every one do good on the tesr.
BYE!!!!!!!!!!!

Application of the Integral BOB

So, it's been pretty hectic recently so I haven't exactly been able to put 100% into everything, which is why I believe I've had quite an amount of trouble. I had no problems visualizing washers, shells etc, but I have to brush up on the mechanics of the applications. Some were simple, but i basically forgot it because I will admit, I haven't studied for the last few days. I tried, but too many things have been coming up which I can't say as it's quite personal. I actually kinda had some problems with the density and had trouble understanding it but I think I got the gist of it.

I hope I do alright and MacGyver it tomorrow. I'm actually cramming right now while trying to finish a bunch of other homework, so I'll see how it all goes.

Applications of Integrals Bobbbbb

Hey guys, I guess its that time of unit again. To talk about all the little finicky bits and the easy bits and the ones you liked and didn't like and all that stuff.

So since I'm super tired, I'm kinda gonna cut to the chase, so I can get all my z's haha.

SO overall I found the unit wasn't to bad. I understand the concept of taking a slice of whatever your looking at, analyzing it, and applying what you understand about that slice to the rest of the solid.

I'm finding the hardest part to generally be figuring out what the solid looks like and what exactly the question is asking. I also tend to forget some bits of the question (like when dealing with washer problems, I sometimes forget to subtract the inner circle :P)

Anyways the final verdict, this unit wasn't that terrible, although it wasn't my favourite either.

K, well I'm off to sleep, good luck tomorrow everyone!

~Ciao

Scribe Meets BOB!

Pre-Test: Applications of Integrals

View more presentations from k_ina.

Yes, so I'm going to input my BOB in the same post also! So here I go!!! Also, what the heck is that ugly bar on my front slide? Oh well, whatever. I'm just glad slideshare finally worked.

Anyways, I thought this unit was pretty hard to grasp at first, especially the rotation parts. I couldn't see how they made the washers and shells at first but after doing lots of practice with them, I can see the patterns! They're beautiful by the way. Yes, so the pre-test also gave me some confidence for the test tomorrow since I did pretty well. Although, I kind of blanked out and couldn't finish my long answer. I basically just left the integral but didn't go on with solving for k. Silly me, har har. I won't do it for the test though.

As for the hardest parts for me. It is definitely the density stuff like that Boston by the Sea question we took so long to finish. Although I'm still kind of iffy, I think I'll manage.

Yeah, so in case you didn't look through the slides, the next scribe is Lawrence.

And to follow with the recently started tradition, here's a youtube video. I'm in a massive nostalgia stage right now, heck, I even watched the first episode of the first Power Rangers again when I got home today. Great stuff man. Anyways, here's my contribution...its a bit of what's to come...if you catch my drift >_>

BOB on Applications of Integrals

At first I thought this unit was going to be quite easy going, but to my surprise, or my demise it became quite confusing and difficult.

We started out by just finding simple distance and displacement given a specific scenario or problem, sure this was easy but then we moved to revolving 2d graphs.

In my opinion these graphs have no business revolving whatsoever. This was just confusing. We revolved these graphs on various points all over the plane, and certain points caused the shape to be a washer or cylindrical shell which required a few more calculations.

Good luck on the test everyone. I'm off to bed.

BOB The Builder indeed. BOB the Integrator.

It's me, .:. J + ME .:. and I'm sorry guys, for coughing up what seemed to be BOTH of my lungs during the pretest. It's awkward doing that when everything is quiet. **facepalm** I guess the stress is really catching up to me. I'll try to get Halls or Fisherman's Friend or something. I don't know why, but I just get sick when it starts getting warmer. I'm fine during the winter. Everything about me is backwards. I even read backwards most of the time. :S

Anyhoooooo. Back to business. **cough**. I think for me, this has been the unit that took me the longest to understand. The beginning was easy, it was direct integrating, and was understandable. But when 3D shapes are coming from 2D areas rotating around the cartesian plane, things get a little more complicated.

I think what was the hardest for me was trying to figure out which method to use, and the fact that I didn't quite understand why things were being done. I mean, I understood how to find the volumes and why the "patterns" were structured that way, but there are those word problems that I seem to have trouble with. It's like I understand how to do it, yet, I get stuck somewhere. I can't seem to finish one whole question like that without someone holding my hand, even if I'm almost on the last step. I also tend to make A LOT of errors. I'm a whole error . haha. But yes. That's me.

As for what I was saying earlier, I sometimes read the problem and it doesn't seem to click in my mind what I'm trying to find. It's like I'm going in circles. Mr. K says it's easier to know what we're trying to figure out with a diagram, but most of the time, I draw it incorrectly. That's what I've been working at for the past few days, and I know I should have done it earlier, but there are just too many things going on in my head right now. I'm not trying to make excuses, and I'm sorry if my non-responding vessel seems to bug you, Mr. K. I'm trying.

But yes, just like other tests, I only have a sliver of confidence in me, and so far, from what my marks are probably saying, I'm a "failure"...but it still doesn't stop me from trying to go up. :)

But yes, like all of my other posts, this one seems to be droning on, so I shall cough my way back into the textbook and slides on the blog.

BOB

So this chapter was rather difficult for me to grasp. More difficult than usual actually. It took me a really long time to understand revolving an area around the x and y axis for some reason. The washer questions were the worst for me too. Now at the end of the chapter I feel very comfortable doing those. The questions i'm still iffy with are the square cross section or triangle ones. I know Mr. K always says to draw a diagram and work with a sample area. I just find it really difficult drawing the diagram. So yes....those parts I will study more tonight.

BOB Version 8: Applications of Integrals

The first section of the chapter, integrating velocity/speed to determine displacement/distance, was a breeze. Then rotating graphs came along... We learned how to take a function, integrate it, and then revolve it around the x-axis, revolve it around the y-axis, revolve around y=-1, and revolve it up the wazoo! Hopefully, no one's going to ask me how to revolve it around a parabola because I don't know how--a possible DEV question?

The visualizing of the washer and our quest in search of the hole took a lot of time for me to wrap my head around. Determining the integral of a function that's rotated around a line besides the x- and y-axis kinda messed me over in the pretest, but I managed to re-learn some of it thanks to the collaboration.

But when The Mean Value Theorem of Integrals came along, it was like a break from all this revolving and rotating, which made my head revolve and rotate too, not in the literal sense.

I realize I have to emphasize working more on the density problems since when Mr.K said "this should be a gimme!" it wasn't really a gimme as of yet.

You have reached the end of my BOB.

BOB for the Application of Integrals

Hi everyone,

This is my BOB.

This unit was quite interesting. I never would have thought that you could rotate anything on a Cartesian Plain. The first few sub-chapters on rotation around the x and y axes were quite tough at first. I couldn't see what was going on. But later on I began noticing how the solids would look like. Then when it came to calculations, imagining one sample slice of that solid made it easier to create an integral to find the Volume of the solid.

The last sub-chapters on the density-related functions were the hardest part of this chapter. I didn't do the homework that I was asked to do because of other priorities (Sorry Mr.K) but I did read a bit in the text which helped me understand a bit. I am certain that there will be at least one question that is related to this sub-chapter on the test and AP exam.

That is my BOB and good morning.

BOBBing

Hi Everyone,

Unfortunately I am going to miss the test because I am attending S.E.T 2009 at U of M. I was given permission to write the test on Monday during my spare.

This unit was quite fun because I got to play around with equations like in grade 12 Pre-Calculus in the Logarithm and Trig Identities unit. The hardest integrals to evaluate were the inverse trigonometic functions like arctan and arcsin because when they appear in a question, you have to write it in a way that fits the actual derivative or antiderivative. But with a little time and clever factoring the question can be solved.

The most useful thing that I learned in this unit was the substitution technique where we had to substitute a function as a variable. It was very funny how Mr K explained how to use the technique because it always sounded like some sort of motivational speaking. Jamie knows what I'm talking about.

That is my BOB for the Antiderivatives unit. Sorry Mr.K for not informing you about my absence earlier but I informed Dr. Eviatar. Hopefully you are okay with that Mr. K.

Good Night and wish me luck on Monday :D