Course Schedule 

                           

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Tentative Schedule

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

Date   Day # Topic
Aug  21 R   Introduction
  26 T D1* Babylonian and Egyptian Mathematics
  29 R D2,S1 Greek Geometry/Thales and the Pythagoreans
Sep 1 M   Labor Day
  2 T S2 Euclid's Elements/Hippocrates' Quadrature of the Lune/Conics
  4 R D3,S3 Appolonius/Pappas//Euclidean Algorithm/Pell's Eqn
  9 T D4 Eudoxus and Archimedes - Areas/Volumes/Pi
  11 R D5,S4 Eratosthense/Heron's Formula/Chinese-Japanese Mathematics
  16 T S5 Numbers and Algebra in Asia and the Middle East
  18 R D6, S6 Solutions of Polynomial Equations:: The Cubic
  23 T   Cardano, Ferrari, Tartaglia, Viete, Bombelli
  25 R S7 Analytic Geometry/Descartes, Pascal, Fermat
  30 T   Exam I
Oct 2 R S8 Projective Geometry/Desargues
  7 T S9 Birth of Calculus/Cavalieri and Wallis
  9 R   Break
  10 F   Break
  14 T D7 Tangents and Maxima/Newton, Leibniz
  16 R D8, S10 Infinite series/ Bernoulli (Notes: S13.8), Euler/Basel Problem
  21 T D9 Euler's Formula -Rectification of Ellipse and Lemniscate
  23 R S12 Elliptic Functions/AGM
  28 T S14 Complex Analysis
  30 R S15 Fundamental Theorem of Algebra, Cubic curves
Nov  4 T S16 Geometry of Complex Plane/Stereographic Projection
  6 R   Women in 19th Century Mathematics
  11 T S18 Non-Euclidean Geometry
  13 R D11-12, S19 Genesis of Group Theory
  18 T   Exam II
  20 R S22 Topology
  25 T S24 Set Theory and Logic
  26 W   Thanksgiving
  27 R   Thanksgiving
  28 F   Thanksgiving
Dec 2 T   Epilogue - Mathematics in the 1900's
11 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 31, 2025