Ruler and compass construction.

For this session, bring a ruler and compass (for drawing circles) if you have them. 

Some slides 

Some exercises for this session 

Read:

Stillwell: 1. The theorem of Pythagoras
   2. Greek geometry
Blåsjö: The how and why of constructions in classical geometry

Before 6 September, post a comment on the discussion board for week 2.

Go through the file week2.pdf and be prepared to discuss it in class.

Read:
Stillwell: 3. Greek number theory
   4. Infinity in Greek mathematics
   5. Polynomial equations
Martinez, page 24 (available in course PM)

Before 13 September, post a comment in the discussion board for week 3.

Go through the file week3.pdf and be prepared to discuss it in class.

Information from the GU library

More on classical Greek mathematics
Early algebra

Read:
Stillwell: 8. Calculus
    9. Infinite series
Bressoud: Was calculus invented in India?

Before 20 September, post a comment in the discussion board for week 4.

Go through the file week4.pdf and be prepared to discuss it in class.
 

Classical Indian mathematics

Calculus

Read:
Stillwell 10 and 12.4-12.5 about elliptic functions.

There will be no other assignment this week, I will give a lecture on this part of the book and probably we will discuss it next week.

Guest lecture by Philip Gerlee, GU/Chalmers

Elliptic curves and functions

Have another look at Stillwell 10 and 12.4-12.5.

Also read Stillwell chapter 17: Sets, logic and computation and
Franzén: The popular impact of Gödel's incompleteness theorem.

Before 5 October, post a comment in the discussion board for week 6 (we change the deadline to Tuesday).

Go through the file week6.pdf and be prepared to discuss it.

Read:

Chiodo and Clifton, The importance of ethics in mathematics, available here. 

Chiodo and Müller, Questions of Responsibility: Modelling in the Age of COVID-19, available here. 

EMS Code of Practice, available here.

Gelman, Ethics in statistical practice, available here.

Hales, The NSA back door to NIST, available here.

Korman and Tong, The NSA and the social responsibility of mathematicians, available here.

Before 12 October, post a comment in the discussion board for week 7.

Go through the file week7.pdf and be prepared to discuss it in class.

Read:

Ananthaswamy, Latest neural nets solve world’s hardest equations faster than ever before, available here.

Avigad, The mechanization of mathematics, available here. 

Bailey and Borwein, Experimental mathematics: examples, methods and implications, available here.

Before 19 October, post a comment in the discussion board for week 8.

Go through the file week8.pdf and be prepared to discuss it in class.

Read:

W. Schachermayer, Mathematics and finance, available here  (item 167).
G. Sewell, Derivation of the Black-Scholes equation from basic principles, available here.

Before 9 November, post a comment in the discussion board for week 9.

Mathematics and finance

Guest lecture by Johanna Svensson, AP2
Johanna's slides 

Watch: (I recommend this order)
C. M. Newman, Spin glasses and complexity, available here.
E. Hörmann, The Nobel Prize in Physics 2021, available here.

Read:
I. Corwin, Kardar-Parisi-Zhang universality, Notices Amer. Math. Soc. 63 (2016), 230-239, available here.
G. Parisi,  Complex systems: a physicist's viewpoint, Phys. A. 263 (1999), 557-564, available here.

Before 16 November, post a comment in the discussion forum for week 10.

Go through the file week10.pdf and be prepared to discuss it in class.

Victor Ahlquist
Nikolaos Bakirlis
Mattis Hallberg
Kosay Hatem

Nils Alexandersson
Amie Fall
Asma Hussein
David Olsson
Hamza Siddiq