MAT 336 Schedule This schedule will be updated according to the progress of the class.  

336 Schedule

Week # Sec Topic Homework (updated Friday morning) Due dates/Forms/Material
Jan 27
1
1 1
1.2
1.3
Administrative stuff.
What is mathematics?
Primitive counting; Positional and non-positional number systems. Mayan calendars.Babylonian number recording
S1.2: 1 to 6, 11, 12, 13
S1.3: 1,2,
13, 14. (Assume that the Mayan is "honest" base 20)
If you have been absent or will need to, please fill this form (at any time of the semester).

Timeline for the History of Mathematics (compiled by William H. Richardson of Wichita State University.)

Number Systems Slides.


That's mathematics (by Tom Lehrer)
Feb 3
2

1.3
2.1 2.2,

Egyptian Arithmetic and multiplication
The Unit Fraction Table
S1.3: 3,4, 5, 17

S2.3:
1,2
Why does the Egyptian algorithm for multiplication work?


Homework 0 (due Feb 4)

Form for choosing the topic of the presentation (due Feb 4)

Sample quiz.
A blog of the British Museum about the Rosetta Stone

The topics and dates for the presentation are here.

Presentations start
Feb 10
3


2.3
2.4



The Unit Fraction Table
Egyptian geometry
S2.3: 3, 19, 20
S2.4: 1a, b (review formulas for areas and volumes)
Roman numerals



Google Form for outline, bibibliography and slides for presentations


Google form for evaluating presentations
Feb 17
4
2.5
2.6
 

Babylonian Mathematics


No quiz this week.
Feb 24
5
3.1, 3.2,
3.3

Thales and Pythagoras
"Decipher" Babylonian multiplication tables.

These problems (hint may not appear in the quiz).

S2.5: 1.

March 2
6
3.3,
4.1,
4.2
4.4,
4.3
4.5

Euclid
S3.2: 1.

S3.3
: 9, 15, 16, 17.

And these problems
Euclid's elements website.

The first six books of Euclid, by Oliver Byrne.

Proclus about geometry and Euclid

"Euclid alone has looked on Beauty bare."
BY EDNA ST. VINCENT MILLAY
March 9
7
5.3,
5.5

Archimedes
Apollonius

S4.5: 1a, 1d,1e, 2 (review the formulas for areas and volumes),
And these problems
S5.3: 1, 13, 14, 16
S5.5: 16

March 16


Spring break

March 23






March 30
8
7.3



Diophantus
Islamic, Indian and Chinese mathematics during the "dark ages." (Early mathematics in India, The ancient chinese Nine Chapters)



HW1 is here
The Google form for submitting the homework is here

The topics and  dates for recording the presentations are here.
Note: I will arrange the exact time of presentation with each of you.

The topic of the term paper is due on March 30th. Here is the term paper form.


Here you'll find an outline of Chinese Mathematics by Prof.David E. Joyce.


Here are the notes for the lecture of Tuesday March 31st (Ancient Chinese Square Root Algorithm).

Here are the notes about Magic Squares.

Here are the notes about Ancient Indian Mathematics.

Here are a couple of questions about online teaching.
April 6
9 8.1,
8.2



Fibonacci; Cardano and Tartaglia

Fibnonacci (The Hindu-Arabic Numerals, Fibonacci's Liber Quadrarorum)
Cardano (Cardan's Solution of the Cubic Equation )
Galileo, Descartes (Inventing Cartesian Geometry, The algebraic aspect of geometry).


HW 2: Consists of 4 problems.
Problems 1, 2 and 3"hidden" in the notes of the last week lectures. There is also an extra credit problem.
Problem 4: Give a detailed justification of the Ancient Chinese Square Root Algorithm for 55225 discusses on March 31st (Recall that we wrote the answer as 100a+10b+c...).
The tentative bibliography of the paper is due on April 9nd. Here is the term paper form.

Since access to libraries is not possible, you are not required to cite book sources. However, make sure that you use appropriate websites.

Galileo's Arithmetic
April 13
10 9.1,
9.2,
9.3
Galileo and Descartes

The development of probability (De Mere problem of points, Pascal arithmetic triangle)

The outline of the paper is due on April 16th. Here is the term paper form
April 20
11
10.1
10.2
10.3

 Newton and Leibniz.



A draft of the paper in PDF or Google Document must be submitted by April 23rd. Here is the term paper form
April 27
12
11.1
11.2
11.3
11.4
Number theory from Fermat to Euler and Gauss. ((Numbers perfect and not so perfect, Fermat's Arithmetica)Euler's life and contributions, The legacy of Gauss: Congruence Theory)

May 4
13


Review -
Non-euclidean geometries
Map coloring problems

Term papers are due on Tuesday May 5th.
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).