MAT 336 History of Mathematics

Index Course Description Syllabus Homework Schedule of Presentations 
Presentations 1 and 2 on Monday,
Presentations 3 and 4 on Friday.
Presentation topics must be relevant to the material covered that week. Presentation topic will be the topic of Term Paper 1. Make sure you discuss your presentation with the instructor at least one week in advance. 
Week 1 (Jan 26) Primitive counting; Positional and nonpositional number systems. Mayan calendars. Babylonian number recording.
Week 2 (Feb 2) The decoding of Plimpton 322. Signup for inclass presentation topics.
Week 3 (Feb 9) Egyptian number recording and Arithmetic.
Week 4 (Feb 16) Thales and Pythagoras; Euclid.
Week 5 (Feb 23) Euclid and Archimedes.
Presentation 1 Hoerthkorn  Pythagoras' triangular numbers
Presentation 2 Skall  Euclid on the infinite number of primes
Presentation 3 Mui  The Method of Exhaustion
Presentation 4 Koval  Mayan mathematics
Week 6 (Mar 1) Arab, Indian and Chinese mathematics during the "dark ages."
Presentation 1 Ting  The history of pi in ancient China
Presentation 2 St. Louis 
Presentation 3 Williams  Jia Xian and the extraction of square/cube roots
Presentation 4 Merritt  Influence and contribution of AlKhwarizmi
Week 7 (Mar 8) Fibonacci; Cardano and Tartaglia.
Presentation 1 Gerardi  Tartaglia, Cardano and the cubic
Presentation 2 Choi  Fibonacci on Pythagorean triples
Presentation 3 Sarro  Cardano the gambler
Presentation 4 Albergo  Binet's formula for the nth Fibonacci number
Week 8 (Mar 15) Galileo and Descartes.
Presentation 1 Demola  Galileo's geometric analysis of acceleration
Presentation 2 Black  Descartes' Rule of Signs
Presentation 3 McCullough  Descartes' use of geometry in performing operations and solving equations
Presentation 4 Sokal
Week 9 (Mar 22) Newton and Leibnitz.
Presentation 1 Rosenthal  Leibnitz' harmonic triangle and infinite sums
Presentation 2 Wu  Newton's Method of Fluxions
Presentation 3 Davis
Presentation 4 Kojima  The development of Differential Equations and the Brachistochrone problem
Week 10 (Mar 29) Probability: Pascal to Laplace.
Presentation 1 Carey
Presentation 2 Dellorusso  Pascal's triangle
Presentation 3 Smith  Laplace & probability
Presentation 4 Poulos 
Week 11 (Apr 12) Euler and the Bernoullis.
Presentation 1 Johnson
Presentation 2 Garvey 
Presentation 3 Patel 
Presentation 4 Fusco
Week 12 (Apr 19) Gauss, Bolyai and Lobachevsky
Presentation 1 Kurian 
Presentation 2 Parente  The fundamental theorem of algebra
Presentation 3
Presentation 4
Week 13 (Apr 26) Cantor and the infinite
Presentation 1 Khevelev
Presentation 2 Kim 
Presentation 3 Casado  Cantor's diagonal arguments
Presentation 4 Fiero  The Cantor Set
Week 14 (May 3) Review