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=====Introduction to Power Series (15 minutes)=====

  * SWBQ: Write down something you remember about power series.
    * In physics we use the term power series to refer to both Taylor and MacLaurin and Laurent series.
    * Power series are a valuable way to //approximate// a function at a point, and are a strong tool for physics sense-making.
      * While a function might not be integrable, the power series of the function can be integrated term by term.
    * The terms and coefficients are labeled as 0th, 1st, 2nd, ... //order//, referring to the exponent.
      * Expanding to $n$th order means that all terms up to $z^n$ should be calculated.
    * Using $z$ and an arbitrary $z_0$, derive the formula for the coefficients (most students know this formula, but they don't remember the derivation).


=====Properties of Power Series (15 minutes)=====

  * The power series for a function about a point is //unique// 
    * This is a license to do anything you want!  //If// you get an answer, it's the correct answer (so long as your algebra is correct).
  * There are a whole bunch of theorems and properties posted on the website, most importantly:
    - FIXME

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