Math 251:[14-15] Spring 2005
Math 251 Spring 2005 Sections 14-15: Prof. Bumby
Some links
Announcements
- The recitation class on Thursday, January 20 met in the
InstructionalMicroLab Loree 023 instead of the scheduled location.
This meeting was devoted to an introduction to the Maple Symbolic
Computation program. Printed copies of the Maple Instructions and the
description of Maple Lab0 will
be distributed at this meeting. In this class, the seed file for the lab was obtained
from the course web page and saved to eden using
WebDrive, Maple was started, and work on Lab0 was begun.
Students were shown how to recognize common mistakes encountered in
Lab0 and shown how to save work in an eden directory in order to
continue working on the lab. For subsequent labs, no printed material
will be distributed. Students will be responsible for printing the
lab description and obtaining worksheet
files from the main course page.
- You have approximately two weeks to complete each Maple
lab assignment. Several revisions will be needed to produce
an attractive report, so you should work on parts of the
project whenever you have time.
- This section is enrolled in the Maple Adoption
Program. Among other things, this program allows
students in this section to purchase a personal copy of the
student version of Maple9.5 for the reduced price of 75.00 US $
(plus applicable shipping charges and taxes). Contact the
instructor if you are interested. Currently, the program is
primarily distributed as a (very large) download from the Maple web site.
- The order of topics in this section will be different from that
shown in the department syllabus. In particular the Vector
Calculus material from Chapter 16 will be distributed throughout the
course, and there will be four class exams. Details will be added
soon, but the syllabus will resemble that of previous versions of Math
251 that can be found from the lecturer's home
page.
Calendar
- Wed., Jan. 19: First class.
- Thur., Jan. 20: Introduction to Maple
in IML.
- Wed., Feb. 02: Maple Lab 0 due.
- Mon., Feb. 07: Exam 1 (curves).
- Wed., Feb. 16: Maple Lab 1 due.
- Mon., Feb. 28: Exam 2 (planes,
functions of two variables).Postponed: the
University cancelled classes because of snow. Exam will be held on
Wed., Mar. 02
- Thur., Mar. 03: Here are some extra problems providing a bridge between the
second and third parts of the course for use in discussion in this
recitation class or as homework for the next class (at the discretion
of the recitation instructor).
- Here is the proposed adjustment of the
schedule to accommodate the disruption caused by the missed class
and the delay in returning the first graded Maple lab.
- Wed., Mar. 09: Maple Lab 2
due. (originally scheduled for Wed., Mar. 02)
- Wed., Mar. 30: Maple Lab 3
due. (originally scheduled for Wed., Mar. 23)
- Mon., Apr. 04(originally scheduled for Wed.,
Mar. 30, postponed as a result of a vote of class on Mar. 02):
Exam 3 (changes of variable in double integrals, including integration
in polar coordinates; surfaces, including flux integrals and the curl
of a vector field required by Stokes' Theorem; and the examples
included in the extra problems prepared for
Thur., Mar. 03, but not surface area since so few
surface area integrals can be evaluated in closed form.)
- Wed., Apr. 13: Maple Lab 4
due. (originally scheduled for Wed.,Apr. 06)
- Wed., Apr. 20 : Exam 4
(three dimensional objects)
- Fri., May 06, 4-7 PM in CHM-106 (the
regular lecture room): Final exam.
Exams
Exam 1 has been graded. The average score was 61.83 and the median
was 64. Individual grades have been entered in the FAS
Gradebook. There is also a distribution of scores (but no attempt
to assign letter grades) and scaled averages (formed my
dividing by the maximum possible score [or base score ] and
multiplying by 10) for each problem. Scaling allows easy comparison
of the difficulty of problems of different weight, since the maximum
score is always 10.
Exam 1
Distribution
| Range |
Count |
| 76 - 79 |
5 |
| 67 - 69 |
2 |
| 62 - 65 |
9 |
| 60 |
3 |
| 46 - 56 |
3 |
| 25 - 30 |
2 |
|
Problems
| Prob. # |
Scaled Avg. |
| 1 |
8.58 |
| 2 |
7.75 |
| 3 |
9.79 |
| 4 |
4.58 |
| 5 |
8.17 |
| 6 |
8.47 |
|
Exam 2 has been
graded. The average score was 61.04 and the median was 64. The
scatter plot shows a comparison of grades on the two exams along with
a trend line showing how the score on the first exam predicts
the score on the second. Lines showing totals of 150, 135, 125 and
110 on the two exams have been added. These show the beginnings of a
clustering of grades. A total of 110 was considered the
lowest satisfactory grade, and "warnings" were recorded when the grade
was lower. Individual grades, with "warning" entered in the comment
field where appropriate, should have been entered in the FAS
Gradebook, but the grades were not recorded. (This will be
corrected as soon as possible, but many will have the graded exams in
their hands before they can retrieve the grades on-line. I apologize
for the inconvenience.) There is also a distribution of scores (but
no attempt to assign letter grades) and scaled averages
(formed my dividing by the maximum possible score [or base score
] and multiplying by 10) for each problem. Scaling allows easy
comparison of the difficulty of problems of different weight, since
the maximum score is always 10.
Exam 2
Distribution
| Range |
Count |
| 74 - 79 |
6 |
| 68 - 71 |
3 |
| 64 - 65 |
3 |
| 61 - 62 |
2 |
| 50 - 54 |
5 |
| 21 - 47 |
4 |
|
Problems
| Prob. # |
Scaled Avg. |
| 1 |
7.86 |
| 2 |
9.13 |
| 3 |
7.48 |
| 4 |
6.61 |
| 5 |
6.39 |
| 6 |
8.48 |
|
Exam 3 has been
graded. The average score was 45.45 and the median was 45. The
scatter plot shows a comparison of this grade to the total of the
first two exams along with a trend line. To emphasize the
clustering of grades, additional lines have been drawn for totals of
220, 200, 185, 165, 150 and 135. While these show a qualitative
distinction, it may not correspond to the distinction shown in the
course grades. Individual grades have been entered in the FAS
Gradebook. There is also a distribution of scores (but
no attempt to assign letter grades) and scaled averages
(formed my dividing by the maximum possible score [or base score
] and multiplying by 10) for each problem. Scaling allows easy
comparison of the difficulty of problems of different weight, since
the maximum score is always 10.
Exam 3
Distribution
| Range |
Count |
| 68 - 76 |
2 |
| 57 - 64 |
3 |
| 47 - 51 |
6 |
| 38 - 43 |
5 |
| 28 - 35 |
5 |
| 20 |
1 |
|
Problems
| Prob. # |
Scaled Avg. |
| 1 |
7.59 |
| 2 |
5.32 |
| 3 |
7.30 |
| 4 |
6.41 |
| 5 |
5.24 |
| 6 |
3.66 |
|
Exam 4 has been
graded. The average score was 54.565 and the median was 58. The
first scatter plot shows a comparison of this grade to the total of
the first three exams along with a trend line. To emphasize
the clustering of grades, additional lines have been drawn for totals
of 270, 245, 230, 200, and 185. While these show a qualitative
distinction, it may not correspond to the distinction shown in the
course grades. Individual grades have been entered in
the FAS
Gradebook. There is also a distribution of scores (but no attempt
to assign letter grades) and scaled averages (formed my
dividing by the maximum possible score [or base score ] and
multiplying by 10) for each problem. Scaling allows easy comparison
of the difficulty of problems of different weight, since the maximum
score is always 10.
Exam 4
Distribution
| Range |
Count |
| 67 - 72 |
4 |
| 58 - 63 |
9 |
| 45 - 55 |
7 |
| below 45 |
3 |
|
Problems
| Prob. # |
Scaled Avg. |
| 1 |
5.26 |
| 2 |
8.91 |
| 3 |
8.84 |
| 4 |
6.64 |
| 5 |
8.26 |
| 6 |
4.46 |
|
There are also plots
comparing the exam scores of those taking all class exams with grades
on Maple labs and recitation work. Both of these graphs contain trend
lines and the plot with the labs has lines showing clusters of totals
(at 335, 275, 235, and 200).
The Final Exam has been
graded. The median score was 130 out of 200. A scatter plot shows a
comparison of this grade to the total of all scores during the term (4
exams, 4 Maple labs, and a recitation grade) along with a trend
line. The sum of these two numbers gives the number on which the
course grade is based, so the lines showing totals of 600, 540, 475,
450, and 380 give the letter-grade divisions. Individual grades on the
exam and course letter grades have been entered in
the FAS
Gradebook. The course grades have been officially submitted and
will show up in your transcript shortly.
Comments on this page should be sent to:
bumby@math.rutgers.edu
Last updated: May 10, 2005
