Textbook: 

Th Aug 24  Introduction to the Math Seminar  ... 
Th Aug 31  Hippocrates Quadrature of the Lune  Dunham Ch 1
Writing Proofs in Math 460 Two Other Quadrable Lunes 
Th Sept 7  Euclid's Proof of the Pythagorean Theorem
SaccheriLegendre Theorem 
Dunham Ch 2
Three Famous Problems  Part I The SaccheriLegendre Theorem 
Th Sept 14  Euclid and the Infinitude of Primes  Dunham Ch 3
Three Famous Problems  Part II On the Scarcity of Primes 
Th Sept 21  Archimedes' Determination of Circular Area  Dunham Ch 4
Archimedes' Determination of pi 
Th Sept 28  Heron's Formula for Triangular Area  Dunham Ch 5 
Th Oct 5  Cardano and the Solution of the Cubic  Dunham Ch 6
x^{4}+y^{4}=z^{4} has no nontrivial integer solution 
Th Oct 12  A Gem from Isaac Newton  Dunham Ch 7
The LeibnizGregory Series 
Th Oct 19  The Bernoulli's and the Harmonic Series  Dunham Ch 8
On the Density of Primes 
Th Oct 26  The Extraordinary Sums of Leonard Euler  Dunham Ch 9
The EuclidEuler Theorem Paper Topics Due 
Th Nov 2  A Sample of Euler's Number Theory  Dunham Ch 10 pp. 223  235
Euler's Formula 
Th Nov 9  Mathematics of the 19th Century  Dunham Ch 10 pp. 235  244; Ch 11 pp 245251
Judith Grabiner: Who Gave you the Epsilon? Cauchy and the Origins of Rigorous Calculus Gauss and the Regular Heptadecagon Cauchy's Proof of the IVT 
Th Nov 16  The NonDenumerabililty of the Continuum  Dunham Ch 11
Liouville's Inequality and Proof that ... is transcendental 
Th Nov 30  Cantor and the Transfinite Realm  Dunham Ch 12
The SchroderBernstein Theorem 
Th Dec 7  Mathematics of the 20th Century  L. Becerra & R. Barnes: The Evolution of Mathematical Certainty
Papers Due 
During Exam Week  Final Presentations  Critiques on Papers Due 
" 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 "
