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courses:lecture:sylec:seriesplus 2018/03/30 09:29 courses:lecture:sylec:seriesplus 2019/06/03 13:54 current
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    * In physics we use the term power series to refer to both Taylor and MacLaurin and Laurent 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.     * 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.     * 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.       * Expanding to $n$th order means that all terms up to $z^n$ should be calculated.

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