MS 475 Senior Seminar in Mathematics
Spring 2008
*If you have the *first* printing of the textbook,
PLEASE NOTE THE
Textbook Corrections
(last updated by me July 2005)
Assignments:
- January 10:  NO CLASS--but 2 ASSIGNMENTS to submit by Jan. 15
- MS 475 Course Policy
- For next time:
- Send me an email with your contact information (phone, email).
- Submit a typed, 2 page "Math Autobiography,"
describing your mathematical background, what led to your choosing mathematics
(education) as a major, and how you intend to use this training in the future.
Include particular events, teachers, or topics that have influenced you, and
describe your current philosophy of teaching mathematics.
(Due Tuesday, Jan. 15)
- Jan. 15:  Course Introduction; Project Instructions; Chapter 1
- TURN IN Math Autobiography
- Select Biography topics
- For next time:
- Work on Chapter 1 problems, especially #9 and those in
Homework #1 (see below).
- Due Jan. 22: Homework #1:
Chapter 1: #4, 5, 10
- Note the Textbook Corrections
- DUE Feb. 12: Mathematical Biography #1, on selected mathematicians associated with
the development of the real number system.
- Typed paper (Microsoft Word document), 8-10 pages, double-spaced, 12 pt. font
- Include: basic biographical information (dates, where lived and worked);
interesting anecdotal information ("human side" of mathematicians);
mathematical discussion of major contribution(s) to mathematics,
especially relating to the development of the real number system.
- Cite at least five (5) sources, to include at least one
journal article and at least one book source.
- Format of internal citations is up to you, but be sure to give proper
credit for quotations. Suggestion: (Smith 1995) or (Smith p. 12).
- Usual title page, body, bibliography in a standard format of your choice.
- You will give a 10-15 minute oral presentation from your paper in
class. Include a summary of important biographical information,
anecdotes, and a meaningful discussion of the mathematics attributed to this person.
- You should prepare your presentation using PowerPoint, but be
prepared with note cards and/or slide printouts as backup--you never know what
will go wrong with technology! (I would suggest that you have your presentation on
a Jump Drive and/or floppy disk and/or CD, in case
- PLEASE SUBMIT your report (MS Word document)
and presentation (PowerPoint file) to me via BLACKBOARD. I can then load
your presentation on the classroom computer ahead of time and also give you electronic
feedback (saving paper and copier toner).
- Grade will be based equally on biographical content; mathematical content;
format, grammar, and spelling; bibliography; and oral presentation.
- DUE DATES:
- Working Bibliography: Jan. 22 (Submit to BlackBoard before class.)
- Rough Draft: Feb. 5 (Submit to BlackBoard before class.)
- Final Draft: (Feb. 12) [changed to Feb. 14] (Submit to BlackBoard before class.)
- Oral Presentation: (Feb. 12) [changed to Feb. 14] (Submit to BlackBoard before class.)
- ORDER:
- Stevin--Amy
- Bolzano--Ollie
- Cauchy--Nicole
- Weierstrass--Valerie
- Dedekind--Melia
- Cantor--Leah
- *BONUS* (5 points) Type 1-2 pages on Charles Meray; cite all references.
(Due Feb. 12 also.)
- Library/Research Tips:
- A good math history website is
The MacTutor History of Mathematics archive at the University of St. Andrews, Scotland.
There are short biographies of every imaginable mathematician
(even Méray!), and there are reputable references given that you could look up in addition.
- A good search engine for science-related articles and websites is the
Elsevier Science Direct database, accessible from the JSU Library website, or
directly from the link given here.
While in the "Search" area, click on the "SCIRUS" tab (top right of the smaller window)
to search the internet for science-related websites--this is a GREAT way to eliminate a
lot of useless websites you'd get from a "Google" search. For journal articles, you can
"SEARCH" under mathematics or all sciences, and we have full-text access to articles
published since 1995--earlier articles must be ordered through Interlibrary Loan (ILL).
- One search engine for mathematics journal articles is
MathSciNet. You can also access
this database and others from the Library Catalog ;
click on Find Articles (Databases); then select Mathematics under
Databases by Subject.
- If you find a journal citation you'd like, first check the
Library Catalog and search for the
Journal Title or author. General searches return both book and journal citations.
If that turns up nothing, next search
Serial Solutions
to see if our library has full-text access to the journal you need. If not,
you can request the article through Interlibrary loan (ILL): Click here to
fill out an online
ILL Form (or find the form on the Library webpage under "Library Forms").
It may be best to give me the information and let me submit an ILL request.
- **Useful website**: The
Citation Machine
(created by David Warlick for The Landmark Project) is an online tool for
correctly citing a variety of bibliographic sources. (I found this to be
especially useful for internet sources.) Try it out!
- If you find a really good article, but it's in Spanish, German, or French,
I can probably help you with it. (Any other language: Forget it!)
Nevertheless, it's probably a good idea to stick with English because we
don't have all semester to do this.
- When narrowing down your list of sources, keep in mind that, in addition
to basic biographical information, we're most interested in contributions to
the development of the real number system. Here, that probably means the
construction of the reals from the rationals--different people had different
methods, and not all are standard now. You may find references to other
(in fact, many other) contributions, and these are good to include in general
to round out your discussion, but don't get too carried away with other things.
Some of these people are known more for other accomplishments, and these should
certainly be included, but your talk should focus on your person's work as it
pertains to Unit 2.1 in our text.
Jan. 17:  Ch. 1
-
- For next time:
-
- Homework #1:
Chapter 1: #4, 5, 10
Jan. 22:  2.1.1, 2.1.2
- Turn in Homework #1:
Chapter 1: #4, 5, 10
- Turn in Working Bibliography (typed).
(Please submit this document via Blackboard as well.)
- For next time:
- Work on Section 2.1.1, especially #4, 7, 9, 12
Jan. 24:  NO CLASS--Dr. Dempsey out of town at AMTE Conference
Jan. 29:  2.1.1, 2.1.2
-
- For next time:
- Prepare Homework #2:
2.1.1: #4, 7, 9
Jan. 31:  2.1.3
- Turn in Homework #2:
2.1.1: #4, 7, 9
- For next time:
- Work on Section 2.1.2, especially #1, 4, 5, 6
Feb. 5 :  EDC Decimal/Fraction exploration, 2.1.3
- Submit Rough Draft of Biography #1
(typed--submit through Blackboard as Word document, bring a copy to class)
- (If you want feedback on your PowerPoint slides, bring hard copies to class
or email them to me.)
- For next time:
- Work on Section 2.1.3 #1-6
- Due Feb. 12-- Homework #3:
Section 2.1.2: #4, 5 ; Section 2.1.3: #3(b)
Feb. 7:  2.1.4
-
- For next time:
- Prepare Homework #3:
Section 2.1.2: #4, 5 ; Section 2.1.3: #3(b)
- Work on Section 2.1.4 #1, 3--5, 7--9
Feb. 12:  2.1.4
Turn in Homework #3:
Section 2.1.2: #4, 5 ; Section 2.1.3: #3(b)
For next time:
- Make final revisions on paper; prepare for oral presentations (10 minutes).
- Due Feb. 21-- Homework #4:
Section 2.1.4: #4, 5, 8
Feb. 14:  BIOGRAPHY #1: PAPERS and ORAL PRESENTATIONS (Real Number System)
- Don't forget to submit your files through Blackboard.
You should also bring your paper and presentation
on a jump drive or floppy disk just in case.
I'll be in the classroom early to set up the laptop and projector....
- ORDER:
- Stevin--Amy
- Bolzano--Ollie
- Cauchy--Nicole
- Weierstrass--Valerie
- Dedekind--Melia
- Cantor--Leah
- For next time:
Feb. 19:  2.2.1, homework questions on 2.1.4
-
- For next time:
- DUE March 25: Mathematical Biography #2, on selected mathematicians associated with
the development of the complex number system. (Same instructions as Biography #1.)
- DUE DATES:
- Working Bibliography: Feb. 26
- Rough Draft: Mar. 11
- Final Draft: Mar. 25
- Oral Presentation: Mar. 25
(Submit your paper and presentation ahead of time through Blackboard.)
- ORDER:
- Cardano--
- Tartaglia--
- Ferrari--
- Bombelli--
- Wessel/Argand--
- Riemann--
Feb. 21:  2.2.1, 2.2.2
- Turn in Homework #4:
Section 2.1.4: #4, 5, 8
- For next time:
- Work on Section 2.2.1 #1--3, 6
Feb. 26:  2.2.1, 2.2.2
- Turn in Working Bibliography (typed) for Bio #2.
(Please submit this document via Blackboard as well.)
- For next time:
- Work on Section 2.2.2, especially #1, 2, & 5
- DUE Mar. 6: Homework #5: Section 2.2.1:
#1 (including exponential form), #2 and Section 2.2.2:1, 2, 5, 12, 13
[Note: For #12, do two versions: (i) a = 1 + (square root of 3),
(ii) a = 1 + i(square root of 3)]
Feb. 28:  2.2.2
- For next time:
- DUE Mar. 6: Homework #5: Section 2.2.1:
#1 (including exponential form), #2 and Section 2.2.2:1, 2, 5, 12, 13
[Note: For #12, do two versions: (i) a = 1 + (square root of 3),
(ii) a = 1 + i(square root of 3)]
Mar. 4:  more 2.2.2
Mar. 6:  Solving Bombelli's Cubic
- Turn in Homework #5
- For next time:
Mar. 11:  Review for Exam
- Submit Rough Draft of Biography #2
(typed--submit through Blackboard as Word document, bring a copy to class)
- Mar. 13:  EXAM 1 (Chapter 2)
- Mar. 18:  Spring Break Holiday
- Mar. 20:  Spring Break Holiday
- Mar. 25:  BIOGRAPHY #2: PAPERS and ORAL PRESENTATIONS
(Complex Number System) [POSTPONED--Dr. Dempsey out]
- Don't forget to submit your files through Blackboard.
You should also bring your paper and presentation
on a jump drive or floppy disk just in case.
I'll be in the classroom early to set up the laptop and projector....
- ORDER:
- Cardano--Valerie
- Tartaglia--Nicole
- Ferrari--Melia
- Bombelli--Amy
- Wessel/Argand--Ollie
- Riemann--Leah
- For next time:
- Mar. 27:  Presentations (postponed from March 25)
- Apr. 1:  3.1.1
- Turn in preliminary Function Lesson Plan (10 points for completion)
- For next time:
- Work on Section 3.1.1 #1--7
- Apr. 3:  more Chapter 3
-
- For next time:
- Turn in Homework #6:
Section 3.1.1: #3, 5, 6
- Apr. 8: 
- Turn in Homework #6
- For next time:
- Apr. 10: 
- Apr. 15: 
-
- For next time:
- Work on Final Exam,
due Thursday, Apr. 24, by 4:00 p.m.
- Apr. 17:  Group questions on Final Exam
- Apr. 22: (Academic Preparation Day)
- Apr. 23:
- Apr. 24:  FINAL EXAM
due by 4:00 p.m.
Homework Solutions: