Final grades in Math 110, Section 4, fall 99 were based on the following
inputs:

H  = Homework score
Q1 = first quiz score (Sep 21)
Q2 = second quiz score (Oct 14)
Q3 = normallized third quiz score (Nov 16)
F = final exam score (Dec 10)
B = bonus points

All are described in more detail elsewhere in this course website,
in directories named QUIZZES and EXAM.

The raw scores on the third quiz were normallized by a factor of 2.
After this normallization, the averages of Q1, Q2, Q3 were
reasonably close, ranging from 75 to 82.  The normallized actual
maxes were also reasonably close.  Average homework scores were
slightly higher, but the homework max was slightly lower, and so
I decided to treat all of these 4 components of the grade equally.

The course raw score of each student was computed as 1/6 of the
square root of

H^2 + Q1^2 + Q2^2 + Q3^2 + 2 F^2 

Since the unnormalized scores on the final were about 1.2 times
as large as the normalized scores on the other components, I
think these weightings were close to those promised.  If F
had been normallized to match the means of the Q's, then
the above formula effectively weights it as 2.8 instead of 3.

To the result of this computation I added a maximum of up to
2 bonus points for class presentations and/or submissions of
good quiz/exam problems.  In this way each bonus point counted
roughly as much as one homework assignment.  Over half the class
received one or two bonus points.

Most of those students whose normallized grades on the three
quizzes were close to each other ended up with a raw course
score very close to their quiz scores.

Raw course scores ranged very widely: from below 30 to over
135(!).  I divided this range into letter grades as follows:

A+ 130 A 120 A- 110 B+ 100 B 90 B- 80 C+ 70 C 60 C- 50 F

There were no scores between 30 and 50.  No passing score
had a final digit of "9", so no one was "just below" any
breakpoint.  so, I feel these grades are as correct and as
fair as possible.