Or by appointment.
Dates and Links
December 18, 2003
Final exam solutions
Here are solutions to the final exam.
I'll have packets of graded work ready for you to pick up by the beginning of winter term.
December 12, 2003
Office hours next week
My office hours next week will be:
I will also be checking my e-mail frequently throughout those three days. If you have questions about the take-home exam at a time other than office hours, that will be the best way to reach me.
IF YOU SUSPECT THAT THERE MIGHT BE AN ERROR ON THE FINAL EXAM, PLEASE LET ME KNOW AS SOON AS POSSIBLE.
December 8, 2003
A problem from this year's Putnam
Uusually Putnam problems have elegant solutions using material from the first two years of the college curriculum. I'm sure this one does too, but—as you'll suspect as soon as you read it—it's also highly vulnerable to a little Galois theory. (Here's a hint—but this would have been an entirely appropriate problem on Assignment 10, even without the hint.)
December 1, 2003
What happened in lecture the Wednesday before Thanksgiving
We proved that A5 (the alternating group of even permutations of 5 elements) is simple, i.e., that it has no normal subgroups, by:
November 24, 2003
Office hours before Thanksgiving
This week I'll hold office hours Monday, 2:30–4:30 and Tuesday, 3:30–4:30.
November 17, 2003
Solving cubic equations
If you really want to solve a cubic, this site will tell you how to do it. Several different ways.
November 2, 2003
One of the solutions to a problem on Assignment 7 uses Heron's beautiful formula for the area of a triangle in terms of the lengths of its sides. Here's a link to several versions of the formula and a proof.
See the handout for more detail.
You should come in and talk with me several times in the next month. At the very least, we should talk about your initial choice of topic and you should get feedback on your preliminary outline.
Another possible presentation topic
What's the real story on Galois? What mathematics did he do, and when did he do it, and how did he end up dying in a duel? E.T. Bell's chapter on Galois in Men of Mathematics is perhaps the most powerful presentation of the "myth" of Galois; there are plenty of other accounts that tell quite different stories.
October 22, 2003
Exam I Solutions, grading information
Here are solutions to Exam 1.
The mean score was 78, while the median was 88. An approximate curve might be:
October 12, 2003
Exam I Rules
The first exam in Rings and Fields is about to happen. It will be a take-home exam covering Herstein, Chapter 3 and Section 5.1, along with other material discussed in lecture.
You may pick up the exam any time after 9:00 a.m. on Tuesday, October 14. You must return your exam no more than 24 hours after you pick it up, and by 4:30 p.m. on Friday, October 17.
Here are the rules that will be printed on the outside of the exam envelopes:
What's going on with old homework?
Short answer: I've been taking care of Math 220, who had their exam first.
Long answer: I've posted solutions to Assignment 6. There should be solutions to Assignment 5 by some point tomorrow (Monday), and I will try to have your 5's and 6's graded to pick up (from the Math Library) on Tuesday morning.
September 23, 2003
Imaginary Ideals Handout
On Monday, I gave out some pictures of ideals in various rings of algebraic integers contained in C.
September 21, 2003
I'll be posting the homework solutions as a single PDF document, one that will grow as new solutions are added. Each of the links on the left will take you to that omnibus document; I'll add new links as solutions are added.
I will also regularly update paper copies in the Math Library, King 203.
September 2, 2003
Graders and Tutors needed
The Department of Mathematics employs a limited number of students to assist in correcting homework and tutoring students. The courses for which graders and tutors are sought range acrosss the whole mathematics curriculum but most particularly students are needed to help with calculus and statistics courses. These positions are a good way to solidify one's knowledge of the subject while also earning some money.
If you are interested, please fill out an application with the Mathematics Department secretary, Cathy Murillo, in King 205.
If you're in Rings and Fields, you should probably be at least considering grading or tutoring!
Also: the department only runs the evening walk-in tutoring program for calculus and statistics. If you're interested in individual tutoring, you should let Kay Knight in Peters 114 know. (Of course, those jobs don't become available until students request tutoring, typically a few weeks into the semester.)
August 28, 2003
Welcome to Rings and Fields!
We will meet on Mondays, Wednesdays, and Fridays from 1:30 p.m. to 2:20 p.m. in King 121.
Last updated December 18, 2003 by Elizabeth Wilmer.