Course Schedule 

                           

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Tentative Schedule

The reading dates are for chapters in Dunham (D) and Stillwell (S).

Date   Day # Topic
Aug  24 R   Introduction
  29 T D1* Babylonian and Egyptian Mathematics
  31 R D2,S1 Face to Face Class Cancelled
Greek Geometry/Thales and the Pythagoreans
Sep 4 M   Labor Day
  5 T S2 Euclid's Elements/Hippocrates' Quadrature of the Lune/Conics
  7 R D3,S3 Appolonius/Pappas//Euclidean Algorithm/Pell's Eqn
  12 T D4 Eudoxus and Archimedes - Areas/Volumes/Pi
  14 R D5,S4 Eratosthense/Heron's Formula/Chinese-Japanese Mathematics
  19 T S5 Numbers and Algebra in Asia and the Middle East
  21 R D6, S6 Solutions of Polynomial Equations:: The Cubic
  26 T   Cardano, Ferrari, Tartaglia, Viete, Bombelli
Oct 28 R S7 Analytic Geometry/Descartes, Pascal, Fermat
  3 T   Exam I
  5 R S8 Projective Geometry/Desargues
  10 T S9 Birth of Calculus/Cavalieri and Wallis
  12 R   Break
  13 F   Break
  17 T D7 Tangents and Maxima/Newton, Leibniz
  19 R D8, S10 Infinite series/ Bernoulli (Notes: S13.8), Euler/Basel Problem
  24 T D9 Euler's Formula -Rectification of Ellipse and Lemniscate
  26 R S12 Elliptic Functions/AGM
  31 T S14 Complex Analysis
Nov 2 R S15 Fundamental Theorem of Algebra, Cubic curves
  7 T S16 Geometry of Complex Plane/Stereographic Projection
  9 R   Women in 19th Century Mathematics
  14 T S18 Non-Euclidean Geometry
  16 R D11-12, S19 Genesis of Group Theory
  21 T   Exam II
  22 W   Thanksgiving
  23 R   Thanksgiving
  24 F   Thanksgiving
  28 T S22 Topology
  30 R S24 Set Theory and Logic
Dec 5 T   Epilogue - Mathematics in the 1900's
14 T Final Spot - 8:00 AM

 

The readings reference one of two texts.
             D for Dunham, W., Journey through Genius, Penguin Books, 1990.                           
             S for Stillwell, J., Mathematics and Its History, 3rd Ed., Spring, 2010.
Other readings will be noted on the Assignment page.

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E-Mail: Dr. Russell Herman Last Updated: July 14, 2023