| Textbook: |
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| Th Aug 23 | Introduction to the Math Seminar | ... |
| Th Aug 30 | Hippocrates Quadrature of the Lune | Dunham Ch 1
Three Famous Problems in Classical Greek Mathematics The Mechanics of Constructable Numbers |
| Th Sept 6 | Euclid's Proof of the Pythagorean Theorem | Dunham Ch 2 |
| Th Sept 13 | Euclid and the Infinitude of Primes | Dunham Ch 3
The Construction of an Inscribed Pentagon The Euclid-Euler Theorem |
| Th Sept 20 | Archimedes' Determination of Circular Area | Dunham Ch 4 |
| Th Sept 27 | Heron's Formla for Triangular Area | Dunham Ch 5 |
| Th Oct 4 | Cardano and the Solution of the Cubic | Dunham Ch 6
Paper Milestone: start thinking seriously about topic for paper |
| Th Oct 11 | A Gem from Isaac Newton | Dunham Ch 7
Proof that x^4+y^4=z^4 has no non-trivial integral solutions |
| Th Oct 18 | The Bernoullis'a and the Harmonic Series | Dunham Ch 8 |
| Th Oct 25 | The Extraordinary Sums of Leonard Euler | Dunham Ch 9
Paper Milestone:deadline for approval of paper topic |
| Th Nov 1 | A Sample of Euler's Number Theory | Dunham Ch 10
The Origin of Analytic Number Theory |
| Th Nov 8 | Mathematics of the 19th Century | Dunham Ch 11 pp 245-251
Judith Grabiner: Who Gave you the Epsilon? Cauchy and the Origins of Rigorous Calculus Cauchy's Proof of the IVT |
| Th Nov 15 | The Non-Denumerabililty of the Continuum | Dunham Ch 11
Liouville's Inequality and Proof that ... is transcendental; Paper Milestone: mathematics outline due |
| Th Nov 29 | Cantor and the Transfinite Realm | Dunham Ch 12
The Schroder-Bernstein Theorem I. Kleiner: Evolution of the Function Concept |
| Th Dec 6 | Mathematics of the 20th Century | From Euler's Formula to the 5-Color Theorem;
L. Becerra & R. Barnes: The Evolution of Mathematical Certainty |
| Th Dec 13 3:30 - 6:30 AM | Oral Presentations of Papers | Final Papers Due |
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" This,therefore is mathematics: she gives life to her own discoveries; she awakens the mind and purifies the intellect; she brings light to our intrinsic ideas; she abolishes the oblivion and ignorance which are ours by birth "
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