Megan, 

  Thanks for your work on Problem Set 1.  You did pretty well but
I did notice a few cases where your scoring was not consistent.
So if you did not do it this way before, please set things up 
to grade all the problem 2.3/2's (on all the papers), then
go on to the next problem, etc.  I asked the students to be 
careful to write up the problems in the correct order, in only
one column on the page, and only on one side of the paper.  So
this should make your life easier!  Also, it would be really helpful
for the students if you could add a few more comments about why
you are taking off points.  You do not need to say a lot, but
a word here and there would be more helpful feedback.  That is
going to be especially true on 2.7/10 on this week's problem set.

  Here is the next MATH 136 problem set:

    Section 2.3/2, 5, 15, 18, 37, 42;
    Section 2.4/6, 15, 22, 41;
    Section 2.5/2, 4, 5, 16, 26, 28, 48;
    Section 2.6/5, 17, 44 parts a and b;
    Section 2.7/3, 9, 10;

Of these questions please grade

    2.3/2 -- 8 points total.  Give 1 point for the value, or "d.n.e." and 
             1 more point on (b) and (d) for the reason why the limit does 
             not exist.  Don't get too picky though -- anything like "the 
             limit of g d.n.e." is OK for a reason in (b), "limit of g is 
             zero but the limit of f is not zero" is OK for (d)

    2.3/18 -- 4 points total -- part credit: 1 for multiplying top and bottom by 
              sqrt(1 + h) + 1, 1 for algebra to simplify the top, 
              1 for cancellation of h top and bottom, 1 for value.

    2.4/15 -- 3 points total -- 1 for the reason: any version of "one-sided limits
              exist at 0 but are not equal" is OK for the reason why 
              f(x) is not continuous at 0.  2 points for the graph.

    2.4/41 -- 2 points total -- Only give 2 points full credit if they
              say "f(x) = x^4 + x - 3 is continuous," and "f(1) = -1 < 0
              f(2) = 15 > 0, so f(c) = 0 for some c between 1 and 2"
              If they omit stating that f is continuous, take off 1 point
              and add a note: "f must be continuous to apply the IVT"

    2.5/4 -- 6 points total -- 1 for each part (no partial credit, but 
             give correct answers in a comment if necessary)

    2.5/16 -- 2 points (OK if they say +infinity, since the sign 
              is implied in the manual answer)

    2.5/28 -- 2 points (there was a hint given with this one).  Part 
              credit 1 point if they correctly multiply and divide by
              the sum of the radicals, but then make an algebra mistake
              or can't finish the problem.

    2.6/44 parts a and b:  3 points for a (take off 1 point if no units are
              stated)  2 points for b

    2.7/10 -- 4 points.  This is going to be tricky to grade: there are 
              many graphs that will be qualitatively OK but might look
              quite different.  The way I would like you to give the points
              for partial credit is like this:  
 
                  -- 2 points for any graph that meets the x-axis twice, 
                     once with x<0, one with x>0. (If they are missing one, 
                     or have too many x-axis intercepts, take off
                     1 point) 
                  -- 1 point for sign of f' -- the graph of f' should be 
                     below (or just touching) the x-axis for all x up to the 
                     positive x with f'(x) = 0, then above the x-axis from 
                     that point on.  
                  -- 1 point for the intervals where f' is increasing and 
                     decreasing.  You can be somewhat picky on this, but 
                     if everything is OK except for the x-value of the 
                     minimum that is shown at 0 in the solution, give full 
                     credit