Week | Topic | |
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1/28 | Introduction: What are numbers? | |
2/4 | Natural numbers, Peano axioms | The Peano Axioms for the Natural numbers |
2/11 | Arithmetic in N | Other properties of N and +: Associative, Transitive Order. See here for details. |
2/18 | equivalence relations, integers as pairs of naturals | |
2/25 | integers, fractions, rationals | |
3/4 | real numbers, algebraic numbers, cardinality | |
3/11 | complex numbers | |
3/18 | (probably not like this) |
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3/25 | Student Presentations: Tiffany, Sonya, and Vivian: The Golden Ratio Edwin, Swaja, and Jacob: Quaternions Lily and Samy: Amicable Numbers |
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4/1 | Student Presentations: Arudra and Michael: Infinitesimals John, Jolee, and Weiting: Babylonian Number Systems |
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4/8 | Student Presentations: Charlie and Elvis: The Mayan Number System Ian and Joseph: Postulates for Euclidean Geometry |