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Diff-Eq Prep

  1. Jan 7, 2005 #1
    Hey peeps,

    I'll be taking diff-eq next quarter, and I was wondering what I need to do to prep myself for it. I am currently in Vector Calc, but I was wondering what are some things I should practice so I can hit the ground running when the class starts.

    Thanks in Advance,

    John In PDX
     
  2. jcsd
  3. Jan 7, 2005 #2

    dextercioby

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    1.Differentiation of functions with one or more variables.
    2.Integrations of functions (especially substitutions).
    3.Good knowledge of trigonometry:circular and hyperbolic,hopefully u won't need elliptic one.
    4.Fourier and Laplace transformations.Fourier series.
    5.Complex analysis.Residue's theorem.
    6.Special functions:all particular cases of Gauss' hypergeometric functions.


    Daniel.
     
  4. Jan 7, 2005 #3
    "4.Fourier and Laplace transformations.Fourier series.
    5.Complex analysis.Residue's theorem.
    6.Special functions:all particular cases of Gauss' hypergeometric functions."

    Wouldn't this be taught in an intro course? You wouldn't be expected to know this going in.
     
  5. Jan 7, 2005 #4

    dextercioby

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    So it should be normal,but course structure differs from case to case.Some of them assume having prior knowledge from a course on functional analysis.

    Daniel.
     
  6. Jan 7, 2005 #5

    arildno

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    If this is to be the first time you see diff eqs, then, IMO, the single most important thing you understand from what you have learnt so far is:

    THE CHAIN RULE OF DIFFERENTIATION

    In particular, you should understand how this is coupled to the integration technique known as "substitution"

    There is, of course, a lot more you need to know, but I've met quite a few students who become confused with the way that diff.eqs are solved, simply because they have failed to understand the above-mentioned issues.

    To give you a hint:
    When your lecturer starts talking about "separable" differential equations, pay close attention to how this is related to the chain rule&substitution integration technique.
     
  7. Jan 7, 2005 #6
    Thanks arildno. That's the type of advice I was looking for.
     
  8. Jan 8, 2005 #7

    HallsofIvy

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    I consider Linear Algebra a pre-requisite for differential equations. The whole theory of linear differential equations (which is most of introductory differential equations) is based on Linear Algebra.
     
  9. Jan 10, 2005 #8
    I had Linear ALgebra last term, so I think I can handle that.

    Thanks though for the reccomendation.
     
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