Proper names for SUM(col) fields
The MySQL Documentation refers to the SUM() function as an aggregate or group function. In light of this, I would call it an aggregated column since the MySQL Documentation starts with:


  This section describes group (aggregate) functions that operate on sets of values. Unless otherwise stated, group functions ignore NULL values.


As for the CASE statement, the book 



page 82 paragraph 1 and pages 88-92 refers to CASE as a conditional control statement. Personally, I would call it a conditional control column or, simply, a conditional column.