| Date | # | Topics | Quizzes and Assignments Due Dates | Presentations | |
|---|---|---|---|---|---|
| Tu 1/23 | 1 | Beginnings of mathematics, info about the course | |||
| Th 1/25 | 2 | Beginnings of mathematics, info about the course | HW0 Due Fill this form. Reading: On the origin of numbers |
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| Tu 1/30 | 3 | Beginnings of mathematics / Number systems | Reading: Number systems. Also, optional reading | The topics you were assigned are here. I'll post the dates soon, in this schedule. | |
| Th 2/1 | 4 | Number systems | HW1 due (Sources, beginnings) | ||
| Tu 2/6 | 5 | Mathematics in Ancient Egypt | Reading : These notes from the beginning until Question 2 in Section 1.1.2. (Of course you are welcome to read them all...) | ||
| Th 2/8 | 6 | Mathematics in Ancient Egypt | HW2 due (Number systems) | ||
| Tu 2/13 | 7 | Mathematics in Ancient Egypt /Mesopotamia | During class, in Wooclap, I will ask you for a brief summary of your topic. Reading: This text from the beginning to Section 1.5 Plimpton 322 (as usual, you are encouraged to read it all.) |
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| Th 2/15 | 8 | Mathematics in Ancient Mesopotamia | This text about mathematics in Ancient Mesopotamia. | Quiz 1 (Number systems) | |
| Tu 2/20 | 9 | Mathematics in Ancient Mesopotamia | This text about the "Babylonian hype" | ||
| Th 2/22 | 10 | Inca and Mayan Mathematics | HW3 due (Egypt and Mesopotamia) | ||
| Tu 2/27 | 11 | The earliest Hellenic mathematics | Annotated bibliography due (see here.) Reading: The first two pages of this paper. |
History of the Normal Distribution- Cheng-Martin History of the number e - Anik |
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| Th 2/29 | 12 | The earliest Hellenic mathematics | Quiz 2 about Mathematics in Egypt | ||
| Tu 3/5 | 13 | The earliest Hellenic mathematics | Abstract and outline of the paper due | The Discovery of Ceres: How Gauss Became Famous- Thomas-Tommy How Kepler Discovered the Elliptical Orbit- Kristina |
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| Th 3/7 | 14 | Hellenic mathematics: Euclid's Elements - Number theory | Reading: This article about the diagrams on Euclid's Elements. Quiz 3 (Mathematics in Mesopotamia) |
Gauss and the Regular Polygon of Seventeen Sides- William Thales and the Height of the great pyramid of Giza.- Noah |
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| Tu 3/12 | Spring Break! | ||||
| Th 3/14 | Spring Break! | ||||
| Tu 3/19 | 15 | Hellenic mathematics: Euclid's Elements - Axiom Systems | Saccheri on non-Euclidean geometry- Shengshi The origin of polar coordinates- Justin |
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| Th 3/21 | 16 | Hellenic mathematics: Euclid's Elements - Axiom Systems - Non-Euclidean geometries | Baby Draft of paper (500 words) | History of Hyperbolic Geometry- Max Euler and the bridges of Konigsberg- Antonio |
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| Tu 3/26 | 17 | Hellenic mathematics: Archimedes | Euler and the proof of the Fundamental Theorem of Algebra- Jonathan | ||
| Th 3/28 | 18 | Hellenic mathematics: Apollonius, Erathostenes, Ptolemy, Diophantus | HW4 due (Euclid's Elements) | Diophantus and the birth of literal algebra- Vincent Fermat Last Theorem- Ruofan |
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| Tu 4/2 | 19 | Ancient and Medieval Chinese Mathematics |
Right-Angled Triangles in Ancient China- Xinyi The Beginnings of Probability and the Problem of Points - He |
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| Th 4/4 | 20 | Ancient and Medieval Chinese Mathematics | Quiz 4 (Euclid's Elements) Draft of paper (1000 words) |
Japanese Temple Geometry- Julio Gauss-Jordan Reduction: A Brief History- Yuanjie-Kevin |
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| Tu 4/9 | 21 | Ancient and Medieval Indian Mathematics | Aryabhata and Ancient Indian methods for computing square root- Sophia Ramanujan's Notebooks- Zhongyao |
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| Th 4/11 | 22 | Mathematics in the Islamic World - Indian Mathematics | Paper due | Omar Khayyam, mathematician- Zhenwei Ideas of Calculus in India - Nathaniel |
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| Tu 4/16 | 23 | Mathematics in the Islamic World | The Remarkable Ibn al-Haytham- Amira | ||
| Th 4/18 | 24 | Mathematics in the Renaissance | HW5 due | Viète, Descartes and the Cubic Equation- Madison The Lengths of Curves - Ruoqi |
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| Tu 4/23 | 25 | Mathematics in the Renaissance | Tangency and Optimization without Limits- Javin The Bernoullis and the Harmonic Series- SukMin |
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| Th 4/25 | 26 | Calculus | HW6 due Review | Newton and the binomial theorem, - Kyle Cauchy and the Origins of Rigorous Calculus- Kayla |
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| Tu 4/30 | 27 | Selected topics | Quiz 5: Review | Hamilton on the Discovery of Quaternions- Ruijun Cantor and The Non-Denumerabilty of the Continuum - Ryan |
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| Th 5/2 | 28 | Review |
