## Instructor Contact and General Information

 Instructor: Luís Finotti Office: Ayres Hall 251 Phone: 974-1321 (don't leave messages! -- e-mail (finotti at math dot utk dot edu) me if I don't answer!) e-mail: finotti at math dot utk dot edu Office Hours: TuTh 10:00 to 11:00 or by appointment. (Subject to change.)

 Textbook: A. Frohlich and M.J. Taylor, "Algebraic Number Theory", 1st Edition, Cambridge University Press, 1993. Prerequisite: Math 551/552, Math 651 recommended. Class Meeting Time: TuTh 11:10-12:25 at Ayres 122. Exams: None! Grade: HWs only.

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## Course Information

### Course Content

This course is a one-semester introduction to Algebraic Number Theory, a very important branch of mathematics.

### Chapters and Topics

It is very tempting to cover the whole book! But that would be better suited for a year long sequence. My first instinct would be to covert Chapters I to VI, maybe skipping a few sections. It is a shame not to cover Chapter VIII, which uses powerful analytic tools that are an essential part of modern number theory. If the students are interested, we can make room somehow to cover some of its sections.

### Homework Policy

Homeworks will be posted regularly at the section Homework of this page. No paper copy of the HW assignments will be distributed in class. It is your responsibility to check this page often!

You can do problems from our textbook or any other book in the listed Additional Bibliography below. If you want to do exercises from another text, please check with me first.

You will only need to do a few problems a week. To get an A, a minimum number of correct problems must be turned in by the due date.

If a problem you turn in is too far from correct, you might need to redo it in order to that problem to count towards the necessary number to get an A.

You also need to turn in your problems by the due date! I will allow one delayed HW per student only, unless there is a compelling reason to allow a second one.

I also urge all to read the material and keep up with the course! Even those less interested in the subject should be prepared enough to follow the lectures! This is essential to get the bare minimum out of the course!

### Forums (Discussion Boards)

I've set up four forums on Blackboard: Math Related, Course Structure, Computer Related (questions about Sage, LaTeX, Blackboard, etc.) and Feedback (more on this last one below).

The Math Related Forum is actually set up on Piazza, since it allows the use of LaTeX, making it more convenient to discuss math. (Blackboard does take LaTeX, but the rendering is horrible and entering is slow!) You can access it through the link on the left panel of Blackboard or directly here: piazza.com/utk/spring2016/math652/home. You should receive an invitation from me (by e-mail) to sign up for our Piazza class. If you don't, you can sign up here: piazza.com/utk/spring2016/math652.

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## Homework

HW1 - Due on 02/23:

Choose 2 Problems between 1 to 11 from Chapter I (pg. 335), or similar problems from other texts. (You can find the exercises here.)

HW2 - Due on 03/24:

Choose 2 Problems between 1 to 5 or do only Problem 6 (counts as 2) from Chapter II (pg. 336), or similar problems from other texts. (You can find the exercises here.)

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