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TEXTS: A History of Mathematics, 2nd edition, by Victor J. Katz
(Harper Collins,1998).
The Origins of the Infinitesmal Calculus, by Margaret E. Baron
(Dover, 1969).
Classics of Mathematics, edited by Ron Calinger (Prentice
Hall, 1995).
| Week
[Major theme] |
Tuesday | Thursday | Reading | Problems
Due on Thursday of the next week |
|---|---|---|---|---|
| 1 [Beginnings] | 8/25 | 8/27 | K: 2.1-2.4.4
B: 1.0-1.4 C: 47-70 Some elementary greek math. Handouts: Sarton, Aristotle Web: Lunes (Java) |
K2:5,9,*10, 41
Research #1 |
| 2 [Euclid] | 9/1 | 9/3 | K: 2.4.5-2.4.8
B:1.5 C:109-130 "easy" Euclid 74-80 Euclid/Eudoxus (proportion/exhaustion) |
K2:12,14,15,17,18,24,44
Research #2 |
| 3 [Archimedes] | 9/8 | 9/10 | K: 3.1-3.3
B: 1.7,1.8 C: 74-80(again!),131-141Archimedes 81-83 Aristotle (def'n,hypothesis, postulate); 84-85 (the infinite);85-90 (Zeno,continuity) |
Assignment moved to allow more time. |
| 4
[Archimedes] |
9/15 | 9/17 | K:
B: C: |
K2:28-30,37
K3:5,10 |
| 5 | 9/22 | 9/24 | K:
B: C: |
K: Do any two problems from the following: 3.15, 3.22, 3.26 (see p122),3.31,4.22, 5.22 |
| 6 | 9/29 | 9/31 | K:[4.1,4.2 optional] 4.3, 5.3,
B:1.9 , 2.0,[2.1,2.2 optional], 2.3,2.4 C: p166,169 (Ptolemy) |
Prelinary outline from groups on what they are planning for presentations on notations. |
| 7 | 10/6 | 10/8 | K: 6.9, 7.2,7.4
B: C: pp 199-211(islamic algebra) |
K:Do any two problems from the following:7.3,7.6,7.10, 7.13,8.12,8.13 |
| 8 | 10/13 | 10/15 | K: reread 7.2, 8.1, 8.3, 8.4
B: 1.3;2.5-2.8 C:p250-260 (Leonardo of Pisa;Oresme) |
K:Do any two problems from the following:8.25,8.26,8.27, 8.34,8.35,8.38 |
| 9 | 10/20 | 10/22 | K: 9; 10.2, 10.4
B: 3.0, 3.3 C:p260-289 (Cardano;Viete;Stevin;Napier) |
Prelimary report on term paper. |
| 10 | 10/27 | 10/29 | Continue reading from last week. | Student Presentations on Tuesday.
K: Do any two problems from the following: 9.26, 9.27, 9.43, 10.16-10.20 |
| 11 | 11/3 Student presentations | 11/5More students | K: 10.3.2-10.3.4
B: 4.1, 4.2 C:p354-373 (Kepler and Galileo) |
|
| 12 | 11/10 End of student presentations | 11/12 |
Continue reading from last week |
K: Do any two problems from the following: 10.24, 10.27, 10.29;11.1, 11.2, 11.4 |
| 13 | 11/17 | 11/19 | K: 10.5 (Galileo), 11.1, 12.1, 12.2.1-12.2.3
B: C: p326-340(Descartes) p374-380(Fermat) |
K: Do any two problems from the following: 11.7,11.8, 11.11, 11.12; 12.2,12.4, 12.7 |
| 14Fall Break | 11/24 | 11/26 | ||
| 15 | 12/1 | 12/3 | K: 12.1-12.3; 12.4.2, 12.4.3, 12.5
B: 4.3,4.4,5.4,5.6 C:p 395-417 (Newton) |
|
| 16 | 12/8 | 12/10 | K:
B: C: |