## MATH 401Assignments Fall, 2007

Draft- Work in progress!

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.]
Some problems may be assigned but not numerically graded

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).

Subject to change. Last updated: 8-28-07
Week
[Major theme]
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
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
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
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: