Ground rule: only assignment submitted on time, which deserve at least a B will be considered. Do not bother to submit late or to submit something incomplete.


All work should be done by you alone. Academic honesty is paramount. Proper citations are required where appropriate.
Deadline: Friday, December 10, on mycourses, one uploaded file or web link to your document.
Paper submissions will only be accepted by noon of Monday, December 6, in the course mailbox.

Option 1: Read Chapter 5. Write a summary of 4 pages including the most important results. Select 10 exercises across the chapter and solve them.


Option 2: Read about Representation Theory of Finite Groups, write a 4 page summary including the most important results. Select 10 exercises across the chapter and solve them. I suggest that you do not read from Dummit-Foote, but rather the chapter from Artin's book on Algebra, or Chapters 1,2 from Serre's Linear Representations of Finite Groups.


Option 3: Read whatever is needed from Part III to be able to follow Chapter 12, sections 1,2. Write a summary of 4 pages of 12.1 and 12.2 including the most important results. Select 10 exercises across the chapter and solve them.


Option 4: Choose aother subject from Algebra, get it approved by me, Write a summary of 4 pages including the most important results. Depending on the topic I may reqire that you select exercises and solve them.


Option 5: Write a book report on a book related to Algebra which you have not read before. The book report should be useful and well written, appropriate for publication at least in a university student publication (best if it is appropriate for the New York Review of Books, of course). Address issues such as: what the prerequisites are, what the target audence is, is the book well written for this audience, as well as a discussion of the background and a survey of what is in the book. The list of books below is approved, and if you want me to consider another bring it to me for approval. (The list is old, I'll add approved books as you bring them up.)


A. Aczel: Fermat's Last Theorem

J. Derbyshire: Prime Obsession

K. Devlin: The Millenium Problems

W. Durnham: Euler, the maste of us all

M. Gazalé: Number: From Ahmes to Cantor.

B. Gross and J. Harris: The Magic of Numbers

F. Klein: Famous Problems of Elementary Geometry

M. Livio: The Golden Ratio

E. Maor: e: The Story of a Number

B. Mazur: Imagining Numbers

P. Nahin: An Imaginary Tale: The Story of i

G. Polya: Mathematics and Plausible Reasoning, Volume 1

P. Ribenboim: Fermat's Last Theorem, Before June 23, 1993

- : Fermat's Last Theorem For Amateurs

- : The Fibonacci Numbers And The Arctic Ocean

S. Singh: Fermat's Enigma

H. Weyl: Symmetry