Reading Assignment: Each student will be expected to read a short article / note / or web page about the history of mathematics and make brief written summaries/reports of these to be passed on alternate Tuesdays, beginning Tuesday 9-18. [These will be graded Honors(4)/Good(3)/Acceptable(2)/NCr(0). Be sure to include an appropriate citation.]
Weekly assignments will be due on Thursdays. (Accepted one day tardy at most!) [These will be graded on a problem by problem basis.]Back to Martin Flashman's Home Page :)
TEXTS: An Introduction to the History of Mathematics, 6th edition, by Howard Eves
(Saunders,???).
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] | 8-21 |
8-23 |
E: 33-37; 68-71; 72-87 [3-1 to 3-6] B: 1.0-1.4 C: 47-70 Some elementary greek math. On -line readings on Moodle: Sarton, Aristotle Web: Lunes (Java) The Quadrature of the Circle and Hippocrates' Lunes: some elements of Greek geometry |
E: 3.5; 3.6(g,h);3.8 Research #1 |
| 2 [Euclid] | 8-28 |
8-30 |
E:pp 87-91 [3-7 to 3-9] ;105-109 [4-1 &4-2]; 135-139; 140-147;150-151; [5-1 to 5-3; 5-5]; 379-383 [11-1 to 11-3] B:1.5 C:109-130 "easy" Euclid 74-80 Euclid/Eudoxus (proportion/exhaustion) |
E: 4.1;4.12; 5.1(a) |
| 3 [Euclid ] | 9-4 |
9-6 |
E: pp150-153; [5-1 to 5-3; 5-5; 5-7]; 379-383 [11-1 to 11-3] 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) |
E: 4.13 (f,g,h) ; 5.4(a,b) Research #2 |
| 4 [Euclid ] |
9-11 |
9-13 |
Continue readings from last week. [Catch up... :) ] |
E:6.2(a); 11.1 |
| 5[Archimedes] | 9-18 Outside Reading Assignment #1 |
9-20 |
E: B: C: |
No Assignment this week- Start looking at notations. Watch Kieval Lectures. |
| 6[Finish Archimedes?] | 9-25 |
9-27 No class- Attend colloquium@4 and/or Kieval Lecture |
E: 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 | 10-2 |
10-4 |
E: pp 164-184; 205-210 B: C: pp 199-211(islamic algebra) |
E:6.5; 6.11(d,e,f) |
| 8 | 10-9 |
10-11 |
E: B: 1.3;2.5-2.8 C:p250-260 (Leonardo of Pisa;Oresme) |
|
| 9 | 10-16 |
10-18 |
E:251-280 B: 3.0, 3.3 C:p260-289 (Cardano;Viete;Stevin;Napier) |
E: 7.15 Prelimary report on term paper. |
| 10 | 10-23 |
20-25 |
Continue reading from last week. | |
| 11 | 10-30 |
11-1 |
Continue reading from last week (Viete/Stevin) |
|
| 12 | 11-6 |
11-8 |
E: 300-305; 306-313; 313-332 B: 4.1, 4.2 C:p354-373 (Kepler and Galileo) |
E: 9.5, 9.7 |
| 13 | 11-13 |
11-15 |
E: 346-358 Additional reading from Galileo (online) Uniform Motion[191-197] Naturally Accelerated Motion[197 -220 only] The Motion of Projectiles [ 268 -287 only] B: C: p326-340(Descartes) p374-380(Fermat) |
|
| 14Fall Break | ||||
| 15 | B: 4.3,4.4,5.4,5.6
C:p 395-417 (Newton) |
|||
| 16 | B:
C: |