### The first exam

Part 1 Part 2 Total #1 #2 #3 #4 #5 #6 #7 #8 #9 4 4 4 4 4 14 12 14 12 13 13 86 0 0 3 0 2 0 0 5 3 0 0 37 2.88 3.12 3.94 3.29 3.41 10.06 6.82 9.41 7.59 5.94 2.88 59.35 3 4 4 4 4 13 10 10 8 5 2 59

Numerical grades will be retained for use in computing the final letter grades in the course. Here are approximate letter grade assignments for this exam:

 Letterequivalent Range A B+ B C+ C D F [75,100] [70,74] [60,69] [55,59] [50,54] [45,49] [0,44]

Seventeen students took the exam. I tried to grade fairly. Of course I also tried to grade "anonymously", but that's difficult to do in a class this size where I've had extensive written work from most students. I repeatedly regraded and compared student work in an effort to insure that answers covering the same material with the same results got the same grade. I may have made errors and would welcome requests for explanation. Students should read my answers first, although certainly there are several correct ways to answer almost all of the questions.
The questions in part 1 were known and had rather formulaic responses so I graded them strictly. One complaint with some legitimacy would be in question 1, where I took a point off if the response included "upper bound" without an explanation of the phrase. My reason was that the definition of sup both in class (and the diary) and in the text explained what an upper bound was. In any case, I took 1 point off for this omission, which is not a large penalty.
Overall, I think the exam might have been too long and the total numbers show this. I adjusted the boundary lines for the letter grades in response. Please realize that the grades for the course will also be strongly influenced by other work, as I have previously explained. Students with predicted courses grade of D or F (based on exam grade and other work) will get warnings.

### The second exam

Part 1 Part 2 Total #1 #2 #3 #4 #5 #6 #7 #8 #9 4 4 4 4 4 14 12 12 12 14 14 99 3 0 0 0 0 0 0 0 0 0 0 20 3.93 3.72 3.64 3.64 3.00 7.79 7.86 6.79 3.57 7.79 7.21 58.93 4 4 4 4 4 8.5 11 8 1 7 8 61

Numerical grades will be retained for use in computing the final letter grades in the course. Here are approximate letter grade assignments for this exam:

 Letterequivalent Range A B+ B C+ C D F [75,100] [70,74] [60,69] [55,59] [50,54] [45,49] [0,44]

Fourteen students took the exam. General comments about the grading duplicate what I wrote about the first exam. Again, I may have made errors and would welcome requests for explanation. Students should read my answers first, although certainly there are several correct ways to answer almost all of the questions.

### The final exam

Part 1 Part 2 Total #1 #2 #3 #4 #5 #6 #7 #8 #9 40 14 16 12 18 16 20 16 16 18 14 200 34 0 0 0 0 0 0 0 0 0 0 39 38.57 4.21 7.57 5 7.86 10.29 12.64 6.71 9.14 9.29 3.71 115.5 39 4 8 2.5 7 16 14 4 8 8.5 4 103.5

Numerical grades were used in computing the final letter grades in the course. Here are approximate letter grade assignments for this exam:

 Letterequivalent Range A B+ B C+ C D F [150,200] [140,149] [120,139] [110,119] [100,109] [90,99] [0,89]