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Calculus, what the fuck? (Studying too) FINAL UPDATE

urahonkyurahonky Registered User regular
edited March 2008 in Help / Advice Forum
So I've somehow managed to climb the math ladder to Calculus II (in college) and I just can't seem to grasp really anything. The instructor (as are all math instructors at this fucking university) is completely useless to me. I can't understand a damn word he is saying, and he writes just fast enough to where I have to keep up with him in my notes, and I can't pay attention to what he's doing or saying.

I just got back my second exam, and it was a fucking 38 out of 100 (Lowest grade in the class, I'm sure) and everyone around me got about a 90+ on it. So obviously I'm doing something wrong. I studied about 5-6 hours on Monday, and then another 3 hours on Tuesday then went in and took the test. I felt pretty indifferent about it, but I never expected to get such a low score.

Now here's my problem. I know some of you guys are smart as hell, and I was wondering: HOW THE HELL DO YOU STUDY FOR MATH?! I lack absolute studying skills. I never had to study for any of my other exams in other classes up until this class (I'm in my Junior year now). Apparently what I was doing was completely wrong.

(I'm sorry if this isn't entirely coherent, as I'm still pretty pissed off at myself.)

Do you guys have any study tips at all? I'm so lost in the material I can't seem to shake the feeling that I'm going to get an F in this class and bring down my GPA. Please help. :(

e: Dance Commander brings a good point: Calculus II (at my university) is mainly on integrals. I thought I had everything down, but got hit hard with this exam. Looks like I don't know shit about "Improper" integrals. I do it correctly on the odd problems (by checking the back) but I miss almost every single even one somehow.

e2: Check out the last post for the grade!

urahonky on
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    SquirrelmobSquirrelmob Registered User regular
    edited February 2008
    The problem is that Calculus 2 is so different from everything else. You just have to pound it until you see the "magic eye" of mathematics. It helps to brush up on your calc 1 as well, just to keep sharp in those skills because they are essential to calc 2.

    However, I was bad at calc 2, so take this advice with a grain of salt.

    Squirrelmob on
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    urahonkyurahonky Registered User regular
    edited February 2008
    The problem is that I thought I had it down. I did the homework (which he bases the test off of) about two to three times, and was able to do many of it without looking in the book.

    I just... Don't know what I'm doing apparently.

    urahonky on
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    Dance CommanderDance Commander Registered User regular
    edited February 2008
    The numbering system isn't really standard, what do you mean by Calc 2? What topics are covered?
    I find that a lot of students have an almost compulsive need to take really freakishly comprehensive notes. All that shit is in the book. Don't write it down, or at least don't write down everything. Pay attention while you have the teacher there and can ask questions, and then look at the book later if you need to review. On that note, don't be afraid to ask questions!
    That's the most general advice I can give you, I guess.

    Dance Commander on
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    urahonkyurahonky Registered User regular
    edited February 2008
    The numbering system isn't really standard, what do you mean by Calc 2? What topics are covered?
    I find that a lot of students have an almost compulsive need to take really freakishly comprehensive notes. All that shit is in the book. Don't write it down, or at least don't write down everything. Pay attention while you have the teacher there and can ask questions, and then look at the book later if you need to review. On that note, don't be afraid to ask questions!
    That's the most general advice I can give you, I guess.

    I'll give that a shot. 90% of the time my notes are useless anyway, since I don't know what I'm doing on them.

    Asking questions is useless to this teacher. He pretty much makes you feel like an idiot when you ask a question.

    This is him, by the way. I know that site isn't always a good gauge on how good a teacher is, but everything stated is pretty much on the spot about this guy.

    urahonky on
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    DaenrisDaenris Registered User regular
    edited February 2008
    Does your school have any student-run tutoring options? Or is there a teaching assistant for the class that you could talk to if the professor isn't helpful?

    Unfortunately I don't have any magical special studying tips. The fact that you did the homework repeatedly until you could do it probably indicates that maybe you were focusing too much on learning specific problems instead of learning the general principles behind them -- which seems to be supported by the test performance.

    Try finding and doing a bunch of other practice/sample problems on the same topics instead of just repeating the homework over and over. This would hopefully help to stress the more general ideas. I had that problem in Chem 1 in college and I initially focused way too much on specific problems. Then when it came to the test I failed it because I couldn't generalize them.

    Daenris on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Yeah that's probably true. I wonder if there's a way where I can find different problems online or something. Different from the book that I have, of course.

    And the TA is supposedly helpful. However, he's always swarmed by 10 other students in class. It seems like instead of helping, he gives answers. Which is good in some ways, but I'd rather find out how to do a problem.

    urahonky on
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    unpurposedunpurposed Registered User regular
    edited February 2008
    Work problems.

    Seriously, it helps a shit ton. If you work as many problems as you can then it should just help a lot.

    Don't just go over past homework solutions and past exam solutions. It doesn't really help. Work out the problem and then look at the solution and then work a similar problem to it.

    unpurposed on
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    urahonkyurahonky Registered User regular
    edited February 2008
    I heard people going to www.cramster.com, does anyone know if that site is any good? Should I think about signing up for it?

    I need to basically ace the final to pass with a C now. I got a 73 on the first exam, and a 38 on this one. My odds aren't looking very good right now. :(

    Thanks for the help thus far guys, please keep them coming. Any tips at all (what to do the night before... Any foods or something that can help).

    urahonky on
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    DaenrisDaenris Registered User regular
    edited February 2008
    urahonky wrote: »
    Thanks for the help thus far guys, please keep them coming. Any tips at all (what to do the night before... Any foods or something that can help).

    Good night's sleep and whatnot.

    Also, try to be in the same state of mind during the test that you are during studying. I mean, don't drastically change anything to take the test. Studies have shown that the mind is better at recalling things that are learning in a similar situation/mindframe. So try not to be drunk when you study or do your homework -- or alternatively, if you are then be drunk during the test. :) Though seriously, just try to do your studying in the same situation as the test -- so most likely a well lit, quiet environment, most likely at a desk or something.

    Daenris on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Haha, I'll try that too. Normally when I'm studying I have some lounge music playing in the background to help soothe my nerves. If I don't have that music playing I'll get frustrated and want to break the wall or something.

    urahonky on
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    EggyToastEggyToast Jersey CityRegistered User regular
    edited February 2008
    I had a friend who the only way he was able to pass Calc 1 was by using a tutor. And it went from 1 day a night to 3, for at least an hour. Expensive, but he got a B+ (he said he'd be happy if he got a C after taking the first test and bombing horribly).

    You really only get better by doing different problems without help, or only enough help to get you over a hump (and then reworking the problem without looking up help). You're not alone, though -- I had a hell of a time in Calc 2 and got a C in the class, even though I thought I was doing horribly in the class. Turns out a lot of students were also doing poorly, and he couldn't fail everyone. Professor was pretty similar, too -- spent the entire class going over weird math things, getting confused by his own handwriting, and mocking anyone who asked questions. He'd show up, start writing on the board, and talking to the board, so he never saw a raised hand.

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    KatholicKatholic Registered User regular
    edited February 2008
    unpurposed wrote: »
    Work problems.

    Seriously, it helps a shit ton. If you work as many problems as you can then it should just help a lot.

    Don't just go over past homework solutions and past exam solutions. It doesn't really help. Work out the problem and then look at the solution and then work a similar problem to it.

    Do every problem in the book that you have answers for, and also practice the example problems your professor did during class.

    Katholic on
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    HerschelHerschel Registered User regular
    edited February 2008
    Yea, don't bother taking excessive notes, it's all in the book -- math books can be a little dense, though, so at least make sure to copy down sample problems that you do in class so you know what's being covered. It's really all about practice and doing problems. Just chug through all the homework problems (and a few similar non-homework problems) until you can do them 100% without the book.

    If you come across a problem that stumps you or a concept you don't understand, go to the professor's office hours. I really can't stress how helpful this can be. Professors will gladly help you out, and it will let the professor get to know you and know you're trying. And usually other students are there, too -- you'll probably find a good study partner.

    Herschel on
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    Big DookieBig Dookie Smells great! Houston, TXRegistered User regular
    edited February 2008
    People are posting some general advice here, and more people will I'm sure, so here's something that might help in the short term:

    Paul's Online Math Notes

    Basically, this is a professor at the University I go to. I post this link almost every time someone asks for help here, but only because it's very useful and has helped many people in the past. It's basically all of the courses he teaches or has taught in the past, all online, with fairly detailed notes and examples. This guy is really good and knows his stuff, and his notes helped me tremendously in Calc III and Diff Eq. Hopefully you can find something there that will help you out as well.

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    Sir Headless VIISir Headless VII Registered User regular
    edited February 2008
    Studying styles vary from person to person, you are just going to have to find out what works for you. Personally i like to study in 7-8 hour marathons where i can get into a good groove but that doesn't work for a lot of people. Some people like to break up their studying in short sessions, that doesn't work for me. I like to get quite a bit of sleep and don't like to study in the evening but some people i know don't even start till 9 pm. One generally good tip is to remove yourself from your normal conditions. Study in the library or study room (at my university there are study rooms specific to most majors) and get away from all your normal distractions and life so you can really concentrate. Also some people like to study in groups (not me personally) so they can bounce ideas off of each other and can either have explained to them or explain (if you can explain a concept to someone else it often helps immensely) concepts. Also do you assignments legitimately (don't just goto someone and get the answers or look them up on the web) when they come up (i know i did a lot when i was in first and second year) they can help your understanding immensely and make it so you don't have to study as hard at the end of the year. Also in the past I know notes have helped me study but I'm in my fourth year and i only take notes in 1 of my courses all the others i just listen and rely on the book or notes posted online by the professor for study material.

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    SoggybiscuitSoggybiscuit Tandem Electrostatic Accelerator Registered User regular
    edited February 2008
    Recommendations: Study in a group, if possible.

    Do all the assigned homework, as well as a few unassigned problems.

    Obtain as many exams from past courses as possible, and practice on some with these. Try to get the problems right, but if you cant, dont worry. I mainly used previous exams to get an idea of the pacing of the test. Unless each exam is radically different, you should be able to get an idea of the time required for each problem of the test. Many professors like to reuse old exams by simply changing/rearranging the variables and numbers of each problem, but keep the pacing relatively the same.

    Thats pretty much what I did. Hope it helps

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    physi_marcphysi_marc Positron Tracker In a nutshellRegistered User regular
    edited February 2008
    Have a look at that website: http://tutorial.math.lamar.edu/.

    It's got class notes for a bunch of college-level math courses. It's very well explained and there's lots of examples. There's also a section on how to study math in the Extras.

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    ihmmyihmmy Registered User regular
    edited February 2008
    get a tutor
    when you're in class, write down the problems... if you get an "a-ha!" moment, write down whatever it is that just clicked, that just made sense to you (I often had those with math but forgot to write them down so I'd have to muddle through a dozen questions before it came back to me)
    are there any other professors who teach this class? maybe you can sit in on their lectures and see if it makes more sense to you that way

    ihmmy on
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    urahonkyurahonky Registered User regular
    edited February 2008
    physi_marc wrote: »
    Have a look at that website: http://tutorial.math.lamar.edu/.

    It's got class notes for a bunch of college-level math courses. It's very well explained and there's lots of examples. There's also a section on how to study math in the Extras.

    Seriously, thanks for that link. I'll be reading through this and hopefully helping myself out with this.

    (Also thanks Big Dookie as well).

    I'd love to go and see the professor, but every time I do he makes me feel like an idiot. He'll generally repeat the same thing over and over again until I act like I understand. (Happened before, and many students in the class say the same thing).

    I'll try the new note taking scheme you guys are recommending. Keeping up with him on the board is almost entirely useless, and I use the solutions manual to help me learn the odd problems, and I copy those "ideas" over to the new one. I thought it was helping me learn, but obviously not.

    If worst comes to worst, I'll try and get a tutor. I'm kinda low on cash, but I'd rather not have to retake my Calc classes because I'm an idiot.

    urahonky on
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    DemerdarDemerdar Registered User regular
    edited February 2008
    What concepts are you having trouble understanding, exactly?

    Demerdar on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Well my major problem areas are:

    Volumes (Fuck that shit)
    Surface area (connected with the above)
    Partial Fractions (ugh... I think I have the basic idea, but it's too confusing for me for some reason)
    and
    Improper integrals. For some reason I almost always find an answer even if the thing is divergent. I can't figure out how to find out if it is convergent/divergent.

    urahonky on
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    DaenrisDaenris Registered User regular
    edited February 2008
    urahonky wrote: »
    If worst comes to worst, I'll try and get a tutor. I'm kinda low on cash, but I'd rather not have to retake my Calc classes because I'm an idiot.

    Like I said earlier, try to find out if your school has a free student run tutoring option. Many do and it would be helpful to at least try it out before going to a paid tutor. Generally it's students who have done well in the class/subject they're tutoring, and odds are they've done it recently.

    Daenris on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Daenris wrote: »
    urahonky wrote: »
    If worst comes to worst, I'll try and get a tutor. I'm kinda low on cash, but I'd rather not have to retake my Calc classes because I'm an idiot.

    Like I said earlier, try to find out if your school has a free student run tutoring option. Many do and it would be helpful to at least try it out before going to a paid tutor. Generally it's students who have done well in the class/subject they're tutoring, and odds are they've done it recently.

    The math help room only goes up to Calculus I at my university.

    urahonky on
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    AzioAzio Registered User regular
    edited February 2008
    How to study for math? I usually just find as many practice questions and old exams (including from other universities) as I can and just hammer away at those until I can do all of them without a calculator or a textbook. Practice practice practice.

    Azio on
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    urahonkyurahonky Registered User regular
    edited February 2008
    My fiance recommended I study a few days before, not a day before, the exam. But I have such a terrible memory I don't know if that'll help or not.

    I'll look online for other tests :) Good idea, thanks Azio.

    urahonky on
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    DaedalusDaedalus Registered User regular
    edited February 2008
    This advice might not help you, but:

    I had a lot of problems with calculus, too. I'm not bad at math: I did better than most at stuff like linear algebra, statistics, discrete math, etc., but calculus always fucked me up.

    So for Calc II, I took the class over the summer at a different university (one near my parents' house) and transfered the credits over.

    Some colleges (mine!) will not have transferred credits affect your GPA as long as you pass. I got a C in Calc II, same as Calc I, but it didn't fuck up my GPA any further.

    Daedalus on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Hmm. Yeah, people have recommended that I take the math classes at a close university (Sinclair) instead of the one I'm at. But I'm just that lazy :( I already have a hard enough time fitting in my homework, I can't imagine driving an additional 15-20 minutes there and back from my house.

    Although that might be worth it if I don't have to retake my calc classes.

    urahonky on
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    DemerdarDemerdar Registered User regular
    edited February 2008
    urahonky wrote: »
    My fiance recommended I study a few days before, not a day before, the exam. But I have such a terrible memory I don't know if that'll help or not.

    I'll look online for other tests :) Good idea, thanks Azio.

    Memory? What's that really got to do with math? All of math is just understanding concepts through reasoning, even calculus. Get down to the bare bones of what is going on. Understand that with an integral you are finding the area of a function over a certain interval. Use that to get a volume by multiplying your area by a height. If you are trying to get through math with memorization in mind, you will do poorly, especially in calculus.

    Demerdar on
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    DaenrisDaenris Registered User regular
    edited February 2008
    urahonky wrote: »
    Daenris wrote: »
    urahonky wrote: »
    If worst comes to worst, I'll try and get a tutor. I'm kinda low on cash, but I'd rather not have to retake my Calc classes because I'm an idiot.

    Like I said earlier, try to find out if your school has a free student run tutoring option. Many do and it would be helpful to at least try it out before going to a paid tutor. Generally it's students who have done well in the class/subject they're tutoring, and odds are they've done it recently.

    The math help room only goes up to Calculus I at my university.

    That's weird... it says on the site it goes up to MTH 230 which the course description says is Calc II. http://www.wright.edu/uc/mlc/current.html

    In any case, try the general tutoring place: http://www.wright.edu/uc/tutor/ They may be able to help you find a math tutor. It's not free (unless you're a freshman), but it's only like $6/hour which is going to be cheaper than any independent tutor.

    Daenris on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Demerdar wrote: »
    urahonky wrote: »
    My fiance recommended I study a few days before, not a day before, the exam. But I have such a terrible memory I don't know if that'll help or not.

    I'll look online for other tests :) Good idea, thanks Azio.

    Memory? What's that really got to do with math? All of math is just understanding concepts through reasoning, even calculus. Get down to the bare bones of what is going on. Understand that with an integral you are finding the area of a function over a certain interval. Use that to get a volume by multiplying your area by a height. If you are trying to get through math with memorization in mind, you will do poorly, especially in calculus.

    Haha, it's funny you say that. My instructor explains (every day) that he doesn't care for "understanding" the material, it's more about memorization than anything. He tells us to memorize it without actually explaining anything, which is what I started to try and do. Obviously failing, of course.

    urahonky on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Daenris wrote: »
    urahonky wrote: »
    Daenris wrote: »
    urahonky wrote: »
    If worst comes to worst, I'll try and get a tutor. I'm kinda low on cash, but I'd rather not have to retake my Calc classes because I'm an idiot.

    Like I said earlier, try to find out if your school has a free student run tutoring option. Many do and it would be helpful to at least try it out before going to a paid tutor. Generally it's students who have done well in the class/subject they're tutoring, and odds are they've done it recently.

    The math help room only goes up to Calculus I at my university.

    That's weird... it says on the site it goes up to MTH 230 which the course description says is Calc II. http://www.wright.edu/uc/mlc/current.html

    In any case, try the general tutoring place: http://www.wright.edu/uc/tutor/ They may be able to help you find a math tutor. It's not free (unless you're a freshman), but it's only like $6/hour which is going to be cheaper than any independent tutor.

    Huh, you're right. For some reason I thought Calc II was 231 for some reason. :| Jeeze. I'll have to try and stop there sometime next week (if/when I get the free time).

    I'll also try and contact that tutor place. Anything is better than my current instructor.

    urahonky on
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    Big DookieBig Dookie Smells great! Houston, TXRegistered User regular
    edited February 2008
    urahonky wrote: »
    Well my major problem areas are:

    Volumes (Fuck that shit)
    Surface area (connected with the above)
    Partial Fractions (ugh... I think I have the basic idea, but it's too confusing for me for some reason)
    and
    Improper integrals. For some reason I almost always find an answer even if the thing is divergent. I can't figure out how to find out if it is convergent/divergent.
    I know you just had the test over this stuff, but if you still want to try and learn some of it, maybe some of us here can help you out a little bit. Throw us the specific concepts that are troubling you or some of the homework problems that are giving you grief, and we might could point you in the right direction. This stuff definitely isn't easy, but there are plenty of math/physics/engineering people here who could definitely help you out if you can give us some specific areas that are causing trouble.

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    TaximesTaximes Registered User regular
    edited February 2008
    I was fortunate enough to have a two hour long break after my Calc II class, so I just sat down and pounded through all the example problems while the lecture was still fresh in my mind, which helped a lot. Overall, practicing problems is what's going to help you learn it the best. You sound like you do that, which is good, but it also sounds like you went over the same problems multiple times instead of trying a variety of different ones.

    Really, the variety is what's going to help. You might know how to do something backwards and forwards, but find yourself immediately lost when someone throws in some kind of "twist" to mix things up a little.

    If it's any consolation, Calc II is usually seen as the hardest. Hopefully if you have to take Calc III, you'll find it easier. (Also, depending on where your curriculum ends, you might enjoy the end of Calc II a lot better. Mine included the beginnings of vectors and threespace, which is really pretty simple once you grasp the concept).

    Taximes on
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    urahonkyurahonky Registered User regular
    edited February 2008
    I'll have to do that. Even though the test is over, the final will probably be cumulative so I have to learn this stuff sometime.

    I'll post some later. Unfortunately I'm at work and didn't bring my book in with me.

    urahonky on
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    urahonkyurahonky Registered User regular
    edited February 2008
    Taximes wrote: »
    I was fortunate enough to have a two hour long break after my Calc II class, so I just sat down and pounded through all the example problems while the lecture was still fresh in my mind, which helped a lot. Overall, practicing problems is what's going to help you learn it the best. You sound like you do that, which is good, but it also sounds like you went over the same problems multiple times instead of trying a variety of different ones.

    Really, the variety is what's going to help. You might know how to do something backwards and forwards, but find yourself immediately lost when someone throws in some kind of "twist" to mix things up a little.

    If it's any consolation, Calc II is usually seen as the hardest. Hopefully if you have to take Calc III, you'll find it easier. (Also, depending on where your curriculum ends, you might enjoy the end of Calc II a lot better. Mine included the beginnings of vectors and threespace, which is really pretty simple once you grasp the concept).

    Looking at the curriculum Calc III includes vectors/threespace. That will be my final Calculus class as well.

    Yeah, the reason I was doing the same ones over and over again is because for his exams, he will take the homework problems and slightly modify them and have us do them. So I assumed that I should do the homework ones over and over.

    Obviously variety would have been better it seems.

    urahonky on
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    BlochWaveBlochWave Registered User regular
    edited February 2008
    Basically if(I'm pulling this out of my ass and it hurts)calculus is painting, then calc 1 is learning wtf the colors are, calc 2 is learning..uhhh....something tedius but necessary related to painting, and calc 3 is then actually painting

    Probably without requiring most of the knowledge you obtained in calc 2. It is my personal opinion that calc 2 classes(in a calc 1-3 followed by DEs setup that seems pretty typical)are designed around being the "filter" class

    The class is the filter, and the science and math majors who can't hack it are the little bits of fail that get trapped and don't pass through. USUALLY the difficulty drops dramatically with calc 3 and beyond

    Oh and just to flash my creds *flashes physics degree*

    Unfortunately my studying advice is pretty typical. Read the damned book. I mean sit down and READ it, page by page, picture by picture, not advancing until you understand everything, every figure, and every equation. You ALSO need to practice, just raw practice of doing problems. Most people just do one or the other(read or practice)

    If you can follow a heuristic(right word? Algorithm?)to solve a particular problem from your book, cool, but if that's all you can do, you can consider yourself rightly fucked on a test where the teacher wants to test your understanding of math, not your ability to do the same thing over and over(well ok they're testing that too)

    If you just read the book then you'll be in the hilarious situation of knowing what to do but not how to do it right

    Also study old tests. Weren't so hot at one section but it's over now so no worries? Oh yes worries, loads of worries. That's another mistake people make

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    Big DookieBig Dookie Smells great! Houston, TXRegistered User regular
    edited February 2008
    What major are you, by the way?

    I will say this - if your class is like many Calc II classes, the next thing you'll be getting into will likely be Sequences and Infinite Series, and you'll likely stay on that subject until near the end of the semester. This can be good and bad. Bad, because it can be fairly tough in its own way. Good, because it's basically a complete departure from anything you've done in Calculus up until now, at least until you get past the convergence/divergence tests and start seeing how they relate with integrals and stuff. So even if you suck at integration, you can still be a pro at Infinite Series if you study hard.

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    urahonkyurahonky Registered User regular
    edited February 2008
    Reading the book seems like it's more trouble than it's worth sometimes. The examples they show are the easiest problems in the world. But then the homework problems tend to be 100x that difficulty. But that's probably just me. :(

    I'm going for Computer Science. Yeah I definitely need to get the convergent/divergent down. I don't know why I have so many problems with them. But normally I get about a 16-18/20 on my homework, but with the improper integration I got 12/20. I just did stuff completely wrong, that seemed right to me at the time.

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    DemerdarDemerdar Registered User regular
    edited March 2008
    When you say improper integration, I'm assuming you mean U substitution?

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    Big DookieBig Dookie Smells great! Houston, TXRegistered User regular
    edited March 2008
    He is probably talking about Integration with limits at infinity. U substitution is pretty well covered in Calc I, generally.

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