Mathematics 10 Course Syllabus Fall, 2003, MW 2:454:00
Professor Judith Grabiner
Office: Fletcher 224 Phone: x 73160; Secretary x. 6218218.
Email: jgrabiner@pitzer.edu
Office Hours: Posted on Office Door
Also by appointmentjust ask!
Every reasonable effort will be made to accommodate students with disabilities.
If you need to request accommodations or need additional assistance, please
contact the Academic Support Services Office at 73553
General:  


Responsibilities of the student:  








Requirements: 

(a)  Readings: The course has three required books (available
at Huntley now), and a Packet of xeroxed readings (also obtainable from
Huntley). The books are: Marcia Ascher, Ethnomathematics: A Multicultural View of Mathematical Ideas; Frank Swetz, Was Pythagoras Chinese? RightTriangle Theory in Ancient China; and George Gheverghese Joseph, The Crest of the Peacock: NonEuropean Roots of Mathematics. The reading packet includes selections from J. L Berggren, Episodes in the Mathematics of Medieval Islam, R. Gillings, Mathematics in the TIme of the Pharaohs, N. L. Rabinovitz, Probability and Statistical Inference in Ancient and Medieval Jewish Literature, W. Feldman, Rabbinic Mathematics, D. E.Smith and Yoshio Mikami, A History of Japanese Mathematics, T. Crump, The Japanese Numbers Game, Aasger Aaboe, Episodes from the Early History of Mathematics, and C. Zaslavsky, Africa Counts: Number and Pattern in African Culture. All assigned readings not in the required books are in the reading packet, though not necessarily in the order assigned. Also, I will distribute handouts on the mathematics any time I think this is needed. Handouts are required reading! 

(b)  Homework Assignments: There will be problem sets and/or
brief writing assignments, assigned as appropriate, and announced in class.
The due dates will be announced at the time the assignments are handed out.
I encourage you to discuss these assignments with each other, and to form
study groups. The only caution is this: do NOT copy somebody else's writeup.
Talk together all you wish, but write up your answers on your own. Make
sure you understand any answers you've learned from your groupyou'll see
some of the questions again on the quizzes and midterm. Remember, the purpose
of any such assignment is not to produce a page of answers, but for you
to understand. Penalty for late assignments: one point per CALENDAR (not
class) day (except Saturday & Sunday). (If you're sick or have a similar
compelling reason, I'll generally waive the penalty, provided that you let
me know BEFORE the assignment is to be handed in; leave a message on my
machine at 73160 or email) NOTE: Two weeks late is the absolute maximum, whatever the reason.ABSOLUTE DEADLINE FOR ALL HOMEWORK: Last day of class! 

(c)  Daily responses: 10% of total grade. At the end of every class, hand one sheet of paper, explaining your view in one sentence of BOTH of these: (1) the most important point (2) a question you have, or an item of interest to you. No makeups on these.  
(d)  Tests: The midterm is Wednesday, Oct. 15 in class. The final will be Thursday, December 18,, at 2 PM.  
(e)  Project: Each student will do a project on a topic
of his or her choice involving some mathematical subject in some cultural
setting. This will result in a short (about 8 minutes) inclass report so
you can share your findings with the class, and a written paper of about
three pages. You'll be required to understand both the mathematics you are
writing about and its cultural setting, but the emphasis of your report
and paper (whether on the mathematics or the culture) will be up to you.
I will be glad to have a conference with each of you before you get launched
on your report to help you define your topic and get the most out of this
assignment. I'll hand out further instructions closer to the time this is
due. There will be questions on the final exam on student reports. Also, there will be a brief written exercise due in class on each day of student reports. 

(f)  Grading algorithm: Daily responses 10% of grade; Midterm 20% of grade, Homework 25% of grade, project 20% of grade, final exam 25% of grade.  
Tentative Calendar: Math 10. Fall, 2003


Books:  
M. Ascher, Ethnomathematics; F. Swetz, Was Pythagoras Chinese?. G. G. Joseph, The Crest of the Peacock: NonEuropean Roots of Mathematics. These are available at Huntley.  
Readings for Math 10:  
A packet, available at Huntley, including selections from J. L Berggren, Episodes in the Mathematics of Medieval Islam, R. Gillings, Mathematics in the TIme of the Pharaohs, N. L. Rabinovitz, Probability and Statistical Inference in Ancient and Medieval Jewish Literature; W. Feldman, Rabbinic Mathematics; D. E.Smith and Yoshio Mikami, A History of Japanese Mathematics, T. Crump, The Japanese Numbers Game, C. Zaslavsky, Africa Counts: Number and Pattern in African Culture, A. Aaboe, Episodes from the Early History of Mathematics.  
Dates: Topic and Assignments  
Sept. 3:  Introduction to the Course.  
Sept. 8, 10:  A few number systems. Among nonliterate peoples:
Ascher, chapter 1. Among the ancient Babylonians: Aaboe, pp. 510, 16 top of 19. In Japan: SmithMikami, on the soroban, Chapter 3 (in packet). Crump (in packet). 

Sept. 15, 17:  Graphs, in many cultures. Ascher, ch. 2 (pp. 3065).  
Sept. 22, 24:  Kinship & Group theory. Ascher, 6683.  
Sept. 29, Oct. 1:  Chance, Strategy, Combinatorics, and Expectation: in games, Ascher, 8494; in medieval Jewish literature. Rabinovitch, 37, 7677, 142151, 161164.  
Oct. 6:  No class: Yom Kippur.  
Oct. 8:  Number systems in African cultures and the history
of the study of African mathematics. Zaslavsky, 151. 

Oct. 13:  Mathematics in ancient Egypt, Gillings, 423,
185192. Numbers in ancient Babylonia, Aaboe, 1722. 

Oct. 15:  Midterm examination  
Oct. 20:  Fall Break  
Oct. 22, 27, 29:  Righttriangle theory in ancient China. Swetz, 725, 2661, 6268; In packet: The Talmud: Feldman, 1718, 35. 

Nov. 3, 5:  Early Greek Mathematics. Aaboe, 3537, 40 (last 2 paragraphs)middle of 42. Also, Aaboe, 5253. 

Nov. 10, 12:  Mathematics in the medieval Islamic world. Berggren,
15, 2126, 3739, 1245, 182186; Joseph, 311319, 324328, 338341. 

Nov. 17, 19, 24:  Mathematics in Ancient and Classical India, Joseph, 215263, 264300.  
Nov. 26:  No class; lastminute report preparation and conference day.  
Dec. 1, 3, 8, 10:  Student Reports. (Note: Everyone must be ready
on the very first day of reports!) Responses to be handed in each day: 5
homework points for each day. No makeups on these responses. Also on December 10: Grand and glorious review. 

Dec. 18  Final: Thursday, Dec. 18, 2 PM  