| Week | Topic | |
|---|---|---|
| 1/23 | Introduction: What are numbers? | |
| 1/30 | The Peano Axioms for the Natural numbers | |
| 2/6 | More on the Peano Axioms: addition | |
| 2/13 | Other properties of N and +: Associative, Transitive Order. See for details. | |
| 2/20 | induction revisited; first definitions for multiplication. | |
| 2/27 | multiplication, exponentiation for natural numbers. | |
| 3/6 | integers as pairs of naturals | |
| 3/13 | (probably not like this) |
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| 3/20 | integers continued | |
| 3/27 | Presentation Language and Numbers: Omar Naimi |
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| 4/3 | rationals | |
| 4/10 | real numbers | |
| 4/17 | Presentations: Zeno's Paradox: Christopher Mikolatis, Nick Miklave Transcendental Numbers: Danny DeGennaro, Andrew Warren |
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| 4/24 | Presentations: Ciphers and Codes: Sadeem Hussain, Zachary Baumgartner, Kiran Eiden A History of Number Theory: Ying-Tai Chen, Anndrika Bhatia, Lilly Henriquez |
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| 5/1 | Presentations: Fermat's Last Theorem: Stephen Chen, James Chen Infinitesimals: Thomas Cavallo, Connor Stewart Tetration and Hyperoperations: Henry Crain, Marco Losada, Skyler Graap |