Date
|
Class |
Topic
|
Reading |
Thu Nov 30
|
Class 25
|
ORAL
PRESENTATIONS (grading rubric)
|
|
Tue Nov 28
|
Class 24
|
Twenty-First Century Mathematicians (Mirzakhami,
Uhlenbeck, Simons, Wiles, Tao, etc)
|
B&M: 587-599;
|
|
Week 14
|
|
Thu Nov 23
|
|
No Class (Thanksgiving Break) |
|
Tue Nov 21
|
Class 23
|
Twentieth Century Mathematicians (Godel, Russell,
Noether, Turing, Hilbert, etc)
| K: 874-903;
B&M: 548-586;
E: 606-636;
|
|
Week 13
|
|
Thu Nov 16
|
Class 22
|
SHORT EXAM | Practice Midterm Exam (Solutions)
|
Tue Nov 14
|
Class 21
|
Other Nineteenth Century Mathematicians: Galois,
Riemann, Boole, Cantor, Poincaré and more |
K: 726-759;
B&M: 526-548;
|
|
Week 12
|
|
Thu Nov 9
|
Class 20
|
Abel, Bolzano, Cauchy and Dedekind: The Rigor Debate
in the Nineteenth Century | K: 766-787
B&M: 526-538;
E: 563-576;
|
| Tue Nov 7 |
Class 19
|
Cauchy: The Perfectionist | K: 766-787
B&M: 452-460;
E: 476-479;
|
|
Week 11
|
|
| Thu Nov 2 |
Class 18
|
Gauss:
Prince of Mathematicians | K: 712, 819-822, 834-838;
B&M: 464-476;
E: 476-479;
|
| Tue Oct 31 |
Class 17
|
Other
Eighteenth Century Mathematicians: Agnesi, Bernoullis, Clairaut,
D'Alembert, Lagrange, Laplace, Legendre | K: 611-636, B&M: 390-396, 423-427,430-433, 443-450;
|
|
Week 10
|
|
| Thu Oct 26 |
Class 16
|
Euler, Part 2: The Basel Problem
| K: 592-596; B&M: 406-422
E: 432-435
|
| Tue Oct 24 |
Class 15
|
Euler, Part 1: "The Master of Us All"
| K: 592-596; B&M: 406-422
E: 432-435
|
|
Week 9
|
|
| Thu Oct 19 |
Class 14
|
The Newton-Leibniz Priorittässtreit Debate
| K: 543-575; B&M: 358-372,328-389
|
| Tue Oct 17 |
Class 13
|
The Calculus of
Newton and Leibniz | K: 324-363; B&M: 223-281
E: 390-406
|
|
Week 8
|
|
| Thu Oct 12 |
Class 12
|
Almost Calculus:
Early Seventeenth Century Stars (Mersenne, Descartes, Pascal, Fermat
and Galileo!) | K: 467-541; B&M: 300-348 E: 318-325,346-366;
|
Tue Oct 10
|
|
No Class (Fall Break) | Midsemester Course Evaluation
|
|
Week 7
|
|
Thu Oct 5
|
Class 11
|
Non-Western Perspectives, Part 2: Chinese and
African Mathematics | K: 230-321; B&M: 186-222; E: 211-250;
|
| Tue Oct 3 |
Class 10
|
Non-Western Perspectives, Part 1: Mayan,
Indian, Islamic Mathematics | K: 230-321; B&M: 186-222; E: 211-250;
|
|
Week 6
|
|
| Thu Sep 28 |
Class 9
|
Mathematics of the Middle Ages and early Renaissance | K: 342-363; B&M: 223-281; E: 251-269;
|
| Tue Sep 26 |
|
No Class (Buckmire absent)
Begin Work on Course Project Proposals
|
|
|
Week 5
|
|
| Thu Sep 21 |
Class 8
|
Ptolemy, Hipparchus, Diophantus and Hypatia: Early
trigonometry and early algebra | K: 142-152,17-190; BG: 180-188; E: 159-164;
|
Tue Sep 19
|
Class 7
|
Archimedes (and Appollonius)
| K: 94-112; BG: 130-158; E: 165-175;
|
| Week 4 |
|
| Thu Sep 14 |
Class 6
|
Euclid's many contributions to mathematics | K: 50-88; B&M: 90-108; E: 140-155; |
Tue Sep 12
|
Class 5
|
Euclid:
Introduction to the Elements
| K: 50-88; B&M: 90-108; E: 140-155; |
|
Week 3
|
|
| Thu Sep 7 |
Class 4
|
Greek
Mathematics: Proof, Logic and Paradox | K: 39-47; B&M: 67-70; BG: 95-109; |
| Tue Sep 5 |
Class 3
|
Introduction to Greek Mathematics and Mathematicians | K: 32-49; B&M: 40-51; E: 72-82;
|
|
Week 2
|
|
| Thu Aug 31 |
Class 2
|
Geometry
and
Algebra in Egypt and Mesopotamia | K: 14-28; B&M: 25-29,31-35;
|
| Tue
Aug 29 |
Class 1
|
The Origins of Numbers: Egyptian and
Babylonian Mathematics | K: 1-14; B&M: 1-12;
|
|
Week 1
|
|