Participation: The exam was written by 199 students, although 209 had registered and paid the non-refundable fee. Among the 199 students who wrote, 195 earned a raw score of 10% or higher. All statistics that follow refer to this group of 195.
Summary: Of the 195 students discussed below, 128 earned a score of 50% or better. In other words, 66% of the participants passed the test and are eligible to claim credit at a sponsoring university. The median grade was 59%. (These scores reflect a modest upward scaling.)
Scores of 85% or higher were earned by 20 students; scores below 30% were recorded by 17 students. There were three raw scores above 90%: scaling boosted these to 97%, 98%, and 99%.
Details: For each question, the following table shows the scores that separate the participants into four equally-sized cohorts: the median score has half the group above and the other half below; quartiles 1 and 3 bisect the lower and upper halves again. Scores are reported using percentages instead of individual points to make comparisons easier.
Question | Point Value | Quartile 1 (%) | Median (%) | Quartile 3 (%) |
Q1 (tan line) | 4 | 75 | 100 | 100 |
Q2 (implicit diff) | 6 | 67 | 100 | 100 |
Q3 (derivative rules) | 6 | 67 | 83 | 100 |
Q4 (limits) | 6 | 33 | 50 | 50 |
Q5 (derivative def) | 6 | 50 | 100 | 100 |
Q6 (linear approx) | 6 | 0 | 17 | 33 |
Q7 (related rates) | 8 | 0 | 37.5 | 62.5 |
Q8 (moving point) | 7 | 29 | 71 | 86 |
Q9 (logarithmic diff & limits) | 5 | 0 | 20 | 40 |
Q10 (exponential growth & decay) | 8 | 0 | 25 | 75 |
Q11 (curve-sketching) | 10 | 30 | 60 | 80 |
Q12 (linearization/Newton's Method) | 6 | 0 | 17 | 50 |
Q13 (optimization) | 8 | 0 | 0 | 0 |
Q14 (concavity) | 8 | 37.5 | 62.5 | 87.5 |
Q15 (integrals) | 6 | 33 | 50 | 100 |
Commentary: Students did extremely well on questions 1, 2, 3, and 5, and reasonably well on 8, 10, 11, 14, and 15. Questions 13, 6, and 9 were devastating for these students. Here are links to the Exam Questions, the Detailed Solutions, and Graders' Comments.
Scaling: Modest upward scaling was applied.