MAT 336 Schedule (This schedule is subject to change.)

336 Schedule
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).