MAT 336 - History of Mathematics - Spring 2019

Week	#	Sec	Topic	Homework	Presentations Lect 10am	Presentations Lec 2:30pm	Due dates/Forms/Material
Jan 28	1	1 1 1.2	Administrative stuff. Slides Primitive counting; Number recording of Egyptians and Greeks Note: Lecture 10am moved to ESS 181. Timeline for the History of Mathematics	S1.2: 1,2,3,4,11,12,13	Google form for choosing in-class presentation Lecture 10am.	Google form for choosing in-class presentation Lecture 2:30pm .
Feb 4	2	1.3,  2.1	Number Recording of Babylonians The Rhind Papyrus	S1.3: 1-5, 13, 14	Sample quiz.		Homework 0 - Lecture 10-11:20am Homework 0 -Lecture 2:30-3:50pm
Feb 11	3	2.2	Egyptian Arithmetic Snow day.	S2.3: 1,2,3,6 Why does the Egyptian algorithm for multiplication work?	If you have been absent or will need to, please fill this form. The topic of the term paper is due on Thursday. Submit it here (lecture 10am)	If you have been absent or will need to, please fill this form. The topic of the term paper is due on Thursday. Submit it  here (lecture 2:30pm)	Do not erase the email confirming your submission. You will need it later, to submit bibliography and outline.
Feb 18	4	2.4 2.5 2.6	2.4 Egyptian geometry (Reading: Approximating area of circle) 2.5 Babylonian Mathematics (Reading: Babylonian treatment of quadratic equation and Two characteristic Babylonian problems) 3.3 The Pythagorean Problem (Reading: Geometric proofs of the Pythagorean Theorem.., The crisis of Incommensurable Quantities)	S2.5: 1, 6, 9,11	Plimpton 322-Theresa Archimedes' calculation of π-Justin Moscow Papyrus problem  14-Zhengkui	Pimpton 322-Allison Archimedes' calculation of π Justin	Presentations start Google Form for outline, bibibliography and slides for presentations
Feb 25	5	3.1, 3.2 3.3,	3.3 The Pythagorean Problem (Reading: Geometric proofs of the Pythagorean Theorem, The crisis of Incommensurable Quantities) Euclid, (Reading:  Euclid's Foundation of Geometry, The algorithm of Euclid)	S3.2: 1. S3.3: 9, One of the following: 15, 16, or 17.	Tuesday Ancient Chinese calculation of π-Shengyuan Peruvian Quipus - Federico Thursday Problems from the Rhind Papyrus-Anthony	Tuesday Ancient Chinese calculation of π-Mina Problems from the Rhind Papyrus - Matt	Euclid's elements website.
March 4	6	4.1, 4.2 4.3 4.5	Archimedes (Estimating the value of π) Apollonius (The conics) Diophantus (Diophantus's Number Theory)	S4.2: 2 S4.5: 1a, 1d,1e, 2 (review the formulas for areas and volumes), And these problems	Tuesday Euclid on the number of primes-Rushabh Diophantus of Alexandria and his work with algebra-Brianna Thursday The quadrature of the circle-Adia	Tuesday Euclid on the number of primes-Ruben The quadrature of the circle-Kyu - Thursday Diophantus of Alexandria and his work with algebra- Brandon-	Here are the slides of last week lecture.
March 11	7	5.3, 5.5	Diophantus (Diophantus's Number Theory) Islamic, Indian and Chinese mathematics during the "dark ages." (Early mathematics in India, The ancient chinese Nine Chapters)	S5.3: 1, 13, 14, 16 S5.5: 16	Tuesday Euclid on the Euclidean Algorithm-Rei The Sieve of Eratosthenes-Jayakody Thursday Archimedes' quadrature of the parabola-Hanson-	Tuesday Euclid on the Euclidean Algorithm-Joseph The Sieve of Eratosthenes-Xiaxuan Thursday Archimedes' quadrature of the parabola-Myrsini-
March 18			Spring break
March 25	8	6.2 7.3	Fibnonacci (The Hindu-Arabic Numerals, Fibonacci's Liber Quadrarorum) Cardano (Cardan's Solution of the Cubic Equation ) .	S6.2: 1, 2, 4, 5, 6	Tuesday Ancient Indian mathematics-Bee Zu Chongzhi on the volume of the sphere-Yue Thursday Eratosthenes' calculation of the size of the Earth-Brandon	Tuesday Eratosthenes' calculation of the size of the Earth-Dan H. Ancient Indian mathematics-Jenny Thursday Zu Chongzhi on the volume of the sphere-Ankang-
April 1	9	7.3	Cardano (Cardan's Solution of the Cubic Equation ) Galileo, Descartes (Inventing Cartesian Geometry, The algebraic aspect of geometry).	S7.3: 1,2, 3, 4. S8.1:1, 12.	Tuesday Fibonacci on the rabbit problem-Tongxin The Quintic equation: Ruffini, Abel, Galois-Andrew- Thursday al-Khwarizmi-Peter	Tuesday Fibonacci on the rabbit problem-Biprajit The Quintic equation: Ruffini, Abel, Galois-Patryk Thursday Mathematical Induction,F. Maurolico-Liam	The bibliography of the paper is due on Thursday April 4h here (lecture 10am) and here (lecture 2:30pm)
April 8	10	8.1, 8.2	Newton,  Leibniz	S8.2: 4, 6, 7, 9.	Tuesday Leibniz' work with series-Yumeng Barrow, Fundamental Theorem of Calculus-Oscar Thursday Mathematical Induction-F. Maurolico-Dylan Descartes' influence on geometry-Salvinija	Tuesday Leibniz' work with series-Amanda Barrow, Fundamental Theorem of Calculus- Jiehao Thursday Descartes' influence on geometry-Lauren	The outline of the paper is due on Thursday April 11th here (lecture 10am)   and here (lecture 2:30pm)
April 15	11	9.1, 9.2, 9.3 ,	The development of probability (De Mere probelm of points, Pascal arithmetic triangle )	S9.2:  8, 9,12. S9.3: 1, 2, 9abc, 12	Tuesday Maria Agnesi-Rysha History of determinants-Tim Thursday History of the infinitesimal-Nick	Tuesday Maria Agnesi-Erik Napier and logarithms-Connor Thursday History of determinants Dan K History of the infinitesimal - Caoyu	A draft of the paper in PDF or Google Document must be submitted here both lectures, by Friday April 19th.
April 22	12	10.1 10.2 10.3	The revival of number theory (Numbers perfect and not so perfect, Fermat's Arithmetica) The revival of number theory (Euler's life and contributions, The legacy of Gauss: Congruence Theory)	10.2: 9,10. 10.3: 7 and these problems.	Tuesday History of the Gaussian distribution-Ramil Thursday Napier and logarithms-Miranda	Tuesday History of the Gaussian distribution-Jacky Pascal and Projective Geometry-Moshe Thursday Gauss on quadratic reciprocity-Yuefeng
April 29	13	11.1 11.2 11.3 11.4	Non-euclidean geometries	Think about the Last Quiz	Tuesday History of group theory-Lionel History of perfect numbers-Xioahai Thursday Fourier on the Heat Equation-Jiayao Gauss on quadratic reciprocity-Kayla	Tuesday History of group theory-Joonhyung History of perfect numbers-Andrew Thursday Fourier on the Heat Equation- Yun Hamilton and the Quaternions-Heeje
May 6	14		Review - Map coloring problems	Last Quiz	Tuesday Sofia Kovalevskaya-Tyreke Emmy Noether-Emi Thursday Henri Poincaré-Yanbing- Hamilton and the Quaternions-	Tuesday Sofia Kovalevskaya-Rose- Tuesday Emmy Noether-Haley Thursday Henri Poincaré-Vinny- Cantor and the infinity. Panyu	Term papers are due on Friday May 10th. Late papers will not be accepted. Read these  instructions. The ONLY WAY of submitting term papers is through Blackboard->Assignments in PDF form. (Make sure you export your paper to PDF before uploading it).