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=====Lecture (10 Minutes)=====
  * Introduction to total differentials and measuring how changes to one or more independent variables effect a function of those variables.
  * Example provided to demonstrate the structure of a total differential. $dU=\left(\frac{\partial U}{\partial x}\right)_y  dx + \left(\frac{\partial U}{\partial y}\right)_x  dy$
  * Review of both scalar and vector forms of infinitesimals relating the example just presented to $d \vec{r}$
  * Description of ratios of differences while clarifying that a derivative is NOT a ratio of two differentials since it matters what is held fixed.


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