Tentative Schedule
The reading dates are for chapters in Dunham (D) and
Stillwell (S).
Date |
|
Day |
# |
Topic |
Aug |
24 |
R |
|
Introduction |
|
29 |
T |
D1* |
Babylonian and Egyptian
Mathematics |
|
31 |
R |
D2,S1 |
Face to Face Class Cancelled
Greek Geometry/Thales and the Pythagoreans |
Sep |
4 |
M |
|
Labor Day |
|
5 |
T |
S2 |
Euclid's Elements/Hippocrates' Quadrature of
the Lune/Conics |
|
7 |
R |
D3,S3 |
Appolonius/Pappas//Euclidean Algorithm/Pell's Eqn |
|
12 |
T |
D4 |
Eudoxus and Archimedes -
Areas/Volumes/Pi |
|
14 |
R |
D5,S4 |
Eratosthense/Heron's Formula/Chinese-Japanese
Mathematics |
|
19 |
T |
S5 |
Numbers and Algebra in Asia
and the Middle East |
|
21 |
R |
D6, S6 |
Solutions of Polynomial Equations::
The Cubic |
|
26 |
T |
|
Cardano, Ferrari, Tartaglia, Viete,
Bombelli |
Oct |
28 |
R |
S7 |
Analytic Geometry/Descartes, Pascal,
Fermat
|
|
3 |
T |
|
Exam I |
|
5 |
R |
S8 |
Projective Geometry/Desargues |
|
10 |
T |
S9 |
Birth of Calculus/Cavalieri
and Wallis |
|
12 |
R |
|
Break |
|
13 |
F |
|
Break |
|
17 |
T |
D7 |
Tangents and Maxima/Newton,
Leibniz |
|
19 |
R |
D8, S10 |
Infinite series/ Bernoulli
(Notes: S13.8), Euler/Basel Problem |
|
24 |
T |
D9 |
Euler's Formula -Rectification of
Ellipse and Lemniscate |
|
26 |
R |
S12 |
Elliptic Functions/AGM |
|
31 |
T |
S14 |
Complex Analysis |
Nov |
2 |
R |
S15 |
Fundamental Theorem of
Algebra, Cubic curves |
|
7 |
T |
S16 |
Geometry of Complex
Plane/Stereographic Projection |
|
9 |
R |
|
Women in 19th Century
Mathematics |
|
14 |
T |
S18 |
Non-Euclidean Geometry |
|
16 |
R |
D11-12, S19 |
Genesis of Group Theory |
|
21 |
T |
|
Exam II |
|
22 |
W |
|
Thanksgiving |
|
23 |
R |
|
Thanksgiving |
|
24 |
F |
|
Thanksgiving |
|
28 |
T |
S22 |
Topology |
|
30 |
R |
S24 |
Set Theory and Logic |
Dec |
5 |
T |
|
Epilogue - Mathematics in the
1900's |
|
14 |
T |
|
Final Spot - 8:00 AM |
The readings
reference one of two texts.
D for
Dunham, W.,
Journey through Genius, Penguin Books, 1990.
S for
Stillwell, J.,
Mathematics and Its History, 3rd Ed., Spring, 2010.
Other readings will be noted on the Assignment page.
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