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Calculus 1: Integration w/ the Natural Log

Discussion in 'Chit Chat' started by Andronas, Nov 18, 2014.

  1. Andronas

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    So, after finishing my homework for differentiation and integration of the natural log function, I must conclude that my homework now requires some thinking and reading of the textbook for hints as to how to solve the problems. There were some aspects of the homework that the teacher didn't instruct on in class, but by reading I managed to get the answers all right on the online homework. I can imagine, though, that some of the other students will feel as if they were thrown under the bus when they encounter some of this stuff. I still feel accomplished, though. >.>

    Also: one of the problems required some creative synthesis of a couple of the methods which were discussed in the book and in class. I had to do substitution twice in order to produce the right answer. I'm pretty sure that one isn't going to go over well with the other students.
     
    #1 Andronas, Nov 18, 2014
    Last edited: Nov 18, 2014
  2. Miles16

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    I forgot all of that stuff within minutes of graduating from high school
     
  3. Pleione

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    The struggle is real :lol:
     
  4. Andronas

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    Lol. I actually had a lot of fun doing the homework this time. And the teacher /did/ warn the entire class by saying, "You guys really need to start getting comfortable with reading the book." It was an honest and sincere suggestion that wasn't said meanly. In upper-level classes, you can't expect to survive on notes from class alone.
     
  5. ChameleonSoul

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    And to think that I could come here to ESCAPE my calculus homework! :lol:
     
  6. Andronas

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    Why in the world would you try to escape it? :stuck_out_tongue_closed_eyes:
     
  7. QueHaPasado

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    Thank you, Andronas, for loving calculus as much as I do! The fact that the derivative of ln(x) is 1/x still blows my mind. This is why e is my favorite number- because it is the only constant perfectly suited to differentiation and integration.

    I feel so nerdy now, but I love math! I'm in Calc II right now, and we're doing exponential growth and decay. Not my favorite topic. But it's calculus, so I'll take it! :/
     
  8. the haunted

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    Calculus I is a breeze. I'm in Calculus III and hating life. :bang:
     
  9. greatwhale

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    Calculus is the only course I took in math where I got an A, it's a beautiful topic, once you get past all the arcane symbols and language...
     
  10. Notlad

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    I'm doing logs and stuff now in college algebra. Though not as hard as calculus I'm sure, I got so excited whenever I figured out what I was doing.
     
  11. Austin

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    I hate calculus!
     
  12. BlueAndWhite

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    As long as you don't bring derivatives into this I'm fine with Calc. Derivatives are the bane of my life:bang:
     
  13. Opheliac

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    Oh I loved calculus in school... I don't remember much of it though :stuck_out_tongue_closed_eyes:
     
  14. Aussie792

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    I have a calculus exam tomorrow. It's getting to the point where I'd be willing to pick up economics next year because I dislike calc so much.

    It's not that it's immensely difficult, it's that it's just so time-consuming and uninteresting.
     
  15. Pret Allez

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    Calculus is wonderful. :frowning2:

    The problem is that some functions have derivatives that can be expressed as elementary functions, but no solution in elementary functions exists for the reverse operation.
     
    #15 Pret Allez, Nov 18, 2014
    Last edited: Nov 18, 2014
  16. Kaylen

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    Congratulations on getting through your calculus homework. I took that in highschool, and I have to say, I never did my homework. She didn't check it, and as long as I got decent grades (above a 'B') I was content. You have much more determination than I.

    My favourite part of calculus was the integration of both logs and natural logs, and I did my exploration (a really long math essay/experiment) on compounding logarithms, as well as growth and decay.

    I am not the biggest fan of calculus, but it's exciting to see that you're enjoying it.

    ---------- Post added 19th Nov 2014 at 12:49 AM ----------

    This sums it up nicely.

    (Good luck on your exams, Aussie)
     
  17. Austin

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    They need to teach more on the applications (oh god no... word problems... nevermind maybe) of calculus and teach more on the theory than just solving problems based on concepts you're told. Then, I think calculus would be more interesting. Throughout calculus 1 and 2 I felt like I knew how to solve problems, but I never really understood the theory so it all just seemed like abstract problem solving -- using concepts, whose derivation/logic I didn't understand, to solve problems. They did teach the theory but never thoroughly and it was useless to scoring well on tests so I never learned it. Also, to be fair, that would be too complicated and take even more time to teach... guess we'll leave that to the math majors!
     
  18. RayXxx

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  19. Aussie792

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    It is definitely a pity about that. I find it hard to solve a tiny aspect of something if I don't know how it's applied in full, but it requires a lot of study to be able to have the mechanics to make that application answerable.

    And of course they sometimes like to put applications in exams, even if students have mainly or only had exposure to the basics of a particular exercise.
     
  20. Ryujin

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    Not really done much of it but it seems fun.
    I look forward to it.