Mathematics 311, Sec. 200 (Honors), Spring 2004
SKIP PAST THE ANNOUNCEMENTS if you so desire.
._. (or to near the bottom)
Course procedures and announcements:
 May 14: It's official: Your grade is available in Vista, and
I have updated the table below with the top and median scores in each
category. Here are the formulas for the curves:
 Homework: Add 46, then multiply by 0.471.
 Total class participation: Multiply by 0.5, then add 20.
 Final exam: Multiply by 0.9, then add 27.
(Curves on the hour tests were additive and already included in the
scores in Vista.)
I don't remember a final exam where the scores were so
tightly bunched; usually I need to squeeze the distribution much
harder to avoid carnage. This result confirmed my impression that you,
as a class, demonstrated an unusual depth of talent and motivation, even
for an honors class. Therefore, I had little hesitation about giving
grades that were a bit more generous than the raw numbers indicated
(although I do wish that all the students with As would score as well on
all tests as you each do on some).
 May 13: (scream2) Please study the solution to Qu. 7(b).
NOBODY did it correctly.
Note: (1) Finding the components of a vector with respect to the local
polar basis is not at all the same thing as finding the polar coordinates
of a point. The latter is a nonlinear transformation (r = square root of
x^{2} + y^{2}, etc.) ; the vector transformation is just
a rotation.
(2) If you use the Jacobian matrix of the polar coordinate
transformation (in the right way) you will get the transformation of the
vector from the Cartesian basis to the tangentvector basis
(dr/dr, etc.). To get to the basis of unit vectors you need to
scale the theta component by 1/r. (That would be a legitimate third
method of solution.)
Qu. 8 was also something of a disaster, but I had to grade it
leniently. Only two people explicitly appealed to the equality of
mixed partials, which is the crucial step in the proof.
Most of you gave a proof by ambiguity of
notation:
a partial derivative of (f times the partial derivative of g) is not
the same thing as (partial of f) times (partial of g); you were supposed
to verify that all the second derivatives of g cancel!
I have corrected one misprint each in the solution to Qu. 4 (p. 3) and
Qu. 7(b) (p. 5).
 May 12: (scream) Please study the solutions to Qu. 2 and
Qu. 10(B)!
Remember: (1) You can't apply Stokes's theorem until you have a CLOSED
curve (the boundary of a surface).
(2) A "semicircle" is a CURVE, not the halfmoonshaped surface it sits
next to. You were not told to calculate a flux through the halfmoon;
use the cylindrical surface you were handed on a platter, where you
already know the surface integral and which already
has a closed curve as boundary where you can trivally evaluate all the
extra line
integrals. When you try to use the halfmoon, you get the wrong answer
because of the phenomenon that is the subject of Qu. 2(b).
 May 11: Final exam key is now posted.
 May 8 (updated May 14): Vista is now updated (except for the strange
ordering of the items on the page you see; according to the local expert,
that is a known bug that will be fixed in the next edition of the
software). Here is some statistical information:

High 
Median 
Remarks 
Grades 
A 
A 
14 As (4 of them squeaky  you know who you are). 
Hour test total 
290 
261 
Includes 5 point curves on Tests B and C. 
Final exam 
192 
168 
Does not include curve. 
Test average 
96.52 
88.10 
Includes curve on final. 
Homework 
276 
243 
Scaled and curved to nominal max of 130. 
Reviewing 
66 
59 
Added and scaled/curved to nominal max of 70. 
Other Class Participation 
32 
20 
Total points 
699 
636 
("Nominal" means that some students got more than 130 on
homework, for example, because of extra credit points.)
 May 8: Extra time on final. Since our exam is the last
of the day, I have no problem letting you work till 6:00. I thought
you'd like to know that beforehand.
 May 4: Please DON'T erase your homework from the Web yet.
You may have given me permission to copy it, but that doesn't mean that I
have had time to do that yet. It will happen sometime later this week.
(Note that calclab accounts will be nuked on May 14, so anything that YOU
want to save should be downloaded elsewhither before then.)
 May 3: Notes on nabla in
curvilinear coordinates
 Apr. 25: Grader jobs for fall
 Apr. 25: Transparencies on
Vector calculus and the topology of domains in
3space (J. Cantarella et al., Amer. Math. Monthly 109
(2002), 409442). (Updated 8 Nov 2010)
 Apr. 20: Another Math Club meeting,
April 26.
 Apr. 3: Sophomore
Mathematics Contest April 13, 79 p.m., Milner 317.
Cash prizes! You are eligible if you are a secondyear undergraduate
student (even if your classification is U3).
 Mar. 24: How to see your grades in
WebCT Vista
 Mar. 10: Notes on Green functions
 Feb. 27: Notes on hyperbolic functions
and the twin paradox
 Feb. 19: Just Say No to .doc files!
How to get
PDF or PostScript out of Word.
 Feb. 17: Annoyed by the poor quality of your
onscreen output from LyX?
Here's what to do!
 Jan. 13: Here are Chapters 1 and 2, in case you have
not yet been able to buy the book. (Do not expect this service in the
future.)
 Chapter 1
 Chapter 2

STUDENTWRITTEN ONLINE SOLUTIONS MANUAL
 Old home pages

Fall 96 home page
(See this for sample summary reports
and fragments of a studentgenerated solutions manual
for oddnumbered exercises (available after the homework is due).
DISCLAIMER

Fall 98 home page
(See this for sample summary reports
and fragments of a studentgenerated solutions manual for
evennumbered exercises).)
DISCLAIMER

Spring 99 home page
(See this for sample summary reports
and fragments of a studentgenerated solutions manual for
evennumbered exercises).)
DISCLAIMER

Spring 00 home page
(See this for sample summary reports
and fragments of a studentgenerated solutions manual for
oddnumbered exercises).)
DISCLAIMER

Spring 02 home page
(See this for sample summary reports
and items that fill in the gaps in the studentgenerated solutions
manual).)
DISCLAIMER
 Course handout
._._. DVI format
._._. Acrobat format
 Addenda to the handout
 Web and TeX information: I really want to encourage
and help you to put your work on the Web, and to read what others have put
there, and also to discuss mathematics with specificity in email and your
reviews and reports. I have compiled some links (not recently updated)
that may be useful.
(More useful would be for the state of the technology to advance so that
the process becomes easy and natural for all concerned. That is happening
slowly.)
 Information on the Web about
putting math on the Web. I urge all of you to read at least the first
two items (the one from Swarthmore, and the one from Karl's Calculus
Tutor about email). The later items become increasingly
technical, and often refer to "solutions" that are not useful to us now
because not every reader has the necessary software. The whole page will
be of interest to those who might be interested in helping develop the
higher education of the future. (See also Pilant's Web
course if you have time to browse.)
 Information about DVI viewers.
If you are unable to read the excellent homework papers of TeX users such
as Chris Wood (M. 311, s00) and Andrew Barkley (M. 311, f98),
you should read this!
 Online introductions to TeX.
If you want to learn to use TeX yourself, here is free documentation!
 TeX10x
 Groups (revised 1/26)
._._. TeX source (ASCII readable)
._._. DVI format
._._. PDF format
 Please see
my home page for uptodate office hours.
 email: fulling@calclab.math.tamu.edu
Course content by weeks:
Table of contents ._._.
 Sections 1.11.4
 Sections 2.12.3
 Sections 2.43.2
 Sections 3.33.5
 Section 4.1
 Sections 4.24.4
 Sections 4.5, 5.1
 Sections 5.25.4
 Sections 5.5, 6.1
 Sections 6.26.4
 Sections 7.17.4
 Sections 7.57.6
 Sections 8.18.2
Back to beginning of list or top of
page.
Things of tangential interest:
Related course materials on the Web
A generic
Frequently Asked Questions List for mathematics
Prof. Pilant's course on Web Technology for
Communicating Mathematics  especially
Arithmetic with large integers by means
of the
Chinese remainder theorem
and object oriented programming (fun stuff from Math. 302)
The W. L. Putnam Undergraduate Mathematics Competition.
Winners are often not math majors!
Internet
Awareness Week
(1995)
and
TeX Users Group (1999)
talks.
Go to home pages:
Fulling ._._.
Calclab ._._.
Math Dept ._._.
University
Go back to weekly material or
top of page
email: fulling@calclab.math.tamu.edu
Last updated Tue 18 Jan 05