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How much numerical analysis do we need?

  1. Apr 20, 2008 #1
    for each of these careers: engineer, physicist, mathematician, how much numerical analysis is necessary? is just learning mathematica sufficient? or do you need at least a full class in numerical analysis?
     
  2. jcsd
  3. Apr 20, 2008 #2

    morphism

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    The answer of course depends on what you will be doing...
     
  4. Apr 20, 2008 #3
    so since i'm unsure whether to go into theory or industry, it'd be best to take as much numerical analysis as possible in undergrad?
     
  5. Apr 22, 2008 #4
    But numerical analysis is so boring.
     
  6. Apr 22, 2008 #5
    yea thats why id rather put it off until my last semester of undergrad, so my grade wont matter to grad school admissions

    oh i forgot to mention that i'm starting my physics research this summer, and my only programming experience is a class in c++. so would taking a numerical analysis seminar that teaches mathematica be really helpful?
     
  7. Apr 22, 2008 #6
    Yes simply because you shouldn't be one of those people that uses canned software without knowing what it's doing. The computer is not supposed to be a magical black box. When you solve a problem numerically, the effectiveness and appropriateness of the algorithm you use is extremely important.

    And say you started doing research in an area where you could just use a program developed by someone else... and then later you want to solve a different problem that program can't do? Will you be able to dyi or will you have to hope that you can find another program that you can buy to get the job done?
     
  8. Apr 23, 2008 #7

    f95toli

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    Of course it depends on what you will be doing, but generally speaking the answer is: a lot.
    The problem with problems in the real world is that they are almost never as "neat" as the questions you are asked in courses at university. People tend to forget that analytical solutions to e.g. PDEs are actually quite rare, this is especially true in engineering.
    Physicists tend to do a bit of both: we use analytical tools (pen and paper) to understand a problem, usually by making simplifying assumptions (e.g. weak perturbations etc), but when we need actual numbers we often have to use a computer.

    However, note that "numerical analysis" can mean different things. As far as I remember we spent most of the time on things like error estimations in my NA course which in retrospect is perhaps good to know but not something I use very often (at least not directly); we learned most of the "practical" stuff -like how to actually solve PDEs etc- in various math courses (e.g. the PDE course was mostly about FEM).
     
  9. Apr 24, 2008 #8
    alright, i get the message, we need lots of numerical analysis.

    anyways , i'm starting my physics research this summer, and my only programming experience is a class in c++. so would taking a numerical analysis seminar (which only has 1-hr lecture each week)that teaches mathematica be really helpful? if not, i might as well drop the class
     
  10. Apr 24, 2008 #9
    I think that it can be useful. Why don't you ask your adviser?
     
  11. Apr 25, 2008 #10
    numerical analysis is fun. i think it's so fun i'm going to drop the physics major and just get a computational science degree.
     
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