Copy data from one existing row to another existing row in SQL?

Maybe I read the problem wrong, but I believe you already have inserted the course 11 records and simply need to update those that meet the criteria you listed with course 6's data.

If this is the case, you'll want to use an UPDATE...FROM statement:

UPDATE MyTable
SET
    complete = 1,
    complete_date = newdata.complete_date,
    post_score = newdata.post_score
FROM
    (
    SELECT
        userID,
        complete_date,
        post_score
    FROM MyTable
    WHERE
        courseID = 6
        AND complete = 1
        AND complete_date > '8/1/2008'
    ) newdata
WHERE
    CourseID = 11
    AND userID = newdata.userID

See this related SO question for more info

UPDATE c11
SET
    c11.completed= c6.completed,
    c11.complete_date = c6.complete_date,
-- rest of columns to be copied
FROM courses c11 inner join courses c6 on
    c11.userID = c6.userID 
    and c11.courseID = 11 and c6.courseID = 6
     -- and any other checks

I have always viewed the From clause of an update, like one of a normal select. Actually if you want to check what will be updated before running the update, you can take replace the update parts with a select c11.*. See my comments on the lame duck's answer.