MAT336: History of Mathematics
Lectures 1 and 3 – Fall 2025
Only student-assigned topics shown; unassigned schedule topics removed. Dotted line separates two presenters in the same lecture.
| Class | Topic | Presentations |
|---|---|---|
| Oct 1 Lect 11 |
The earliest Hellenic mathematics | Unit Fractions & Rhind Papyrus — Giuseppe |
| Oct 6 Lect 12 |
The earliest Hellenic mathematics | Thales & Shadow of the Pyramid — Janet |
| Oct 8 Lect 13 |
The earliest Hellenic mathematics - | |
| Oct 15 Lect 14 |
Euclid’s Elements – Number Theory — Quiz | The Two Earths of Eratosthenes Takara |
| Oct 20 Lect 15 |
Euclid’s Elements – Axiom Systems |
Regular Polygons in Ancient Mathematics — Melody
The Historical Development of the Platonic Solids — Keyue |
| Oct 22 Lect 16 |
Euclid’s Elements – Non-Euclidean |
The Parallel Postulate and its Role in Geometry — Yutong
The Story of the Binomial Theorem — Ellie |
| Oct 27 Lect 17 |
Archimedes |
Ptolemy’s Theorem and Ancient Astronomy — Saudeep
Gauss and the Discovery of Ceres — Nicholas |
| Oct 29 Lect 18 |
Apollonius, Eratosthenes, Ptolemy, Diophantus |
Diophantus of Alexandria — Celina
Historical Development of Complex Numbers — Hannah |
| Nov 3 Lect 19 |
Chinese Mathematics |
Curves Before Equations (Ancient through Early 17th Century) — Micah
Curves by Equations (17th Century on) — Aurora |
| Nov 5 Lect 20 |
Chinese Mathematics (cont.) — Quiz | Right-Angled Triangles in Ancient China Joseph |
| Nov 10 Lect 21 |
Indian Mathematics |
Ancient Indian Square Roots — Michael
Ancient Chinese Square Root Algorithms — Jinghao |
| Nov 12 Lect 22 |
Indian / Islamic Mathematics | Early History of the Isoperimetric Problem — Sylv |
| Nov 17 Lect 23 |
Islamic Mathematics |
Ibn al-Haytham and Early Algebra — Tahjae
Omar Khayyam: Geometric Algebra and Cubic Equations — Ed |
| Nov 19 Lect 24 |
Renaissance Mathematics |
Descartes and the Geometrization of Algebra — Liam |
| Nov 24 Lect 25 |
Renaissance Math (cont.) | Kovalevskaya’s Sine Anecdote — Gabriela
Euler and the Fundamental Theorem of Algebra — Violet |
| Dec 1 Lect 26 |
Calculus Origins |
The rule of false position from Fibonacci to Cardano. — Doris
Origin of Irrational Numbers and Their Approximations — Austin Pascal and the Invention of Probability Theory — Jungoo |
| Dec 3 Lect 27 |
Selected Topics - |
Königsberg Bridges and the Birth of Graph Theory — Max
The Story of Fermat’s Last Theorem — Haojun |
| Dec 8 Lect 28 |
Review / Last Day/ Quiz 5 |
Topology: Nature and Significance — David
Ramanujan's Notebooks — Samuel |