Homework #4

3.3: 11a, 13, 14
4.1: 1, 4
4.3: 11, 12
4.4: 2,9

This homework is due on April 8th.

Exam and Macaulay2 file

Here is the Macaulay2 file alluded to in the exam.

Homework #3 Comment

Please take a look at the comment on the homework #3 post.

Macaulay2 script

The Macaulay2 script solving the Lagrange multiplier problem can be found here.

One can perform this computation in a Sage Notebook screen with macaulay2 enabled as I mentioned in an earlier blog post, or you can try installing Macaulay2 and emacs on your personal machine by following the installation instructions on the Macaulay2 Home Page.

If you have any problems setting it up, then I can try and help you via email.

Homework #3

Problems from the book:

2.6: 1, 4, 12
2.7: 2, 7
2.8: 8

1) Let I be a monomial ideal and > any term order. Show that any generating set for I is also a Grobner basis.

HW Comments

The fist HW set has been graded. In general people did pretty well. Here are a couple of comments to consider for future assignments.

1) Please be neat. Your paper should not have scribbles or crossed out words. It should be correctly stapled, and the writing should be legible.

2) Write in full sentences. Look at the proofs in your textbook, they are all written in full sentences, and not as a collection of equations.

If there are any complaints about the grading, don't hesitate to come to office hours to talk about it. My office hours are Monday and Wednesday from 1:30 to 2:30 PM in Malott 112.

Thank you,

Saul

Timetable up until Exam 1

Now that we are nearing the first exam time (already!) I thought I would let you know the timetable that I had in mind for the next assignment, as well as the first exam:

HW #2 due Feb 25th
HW #3 assigned Feb 25th
HW #3 due Mar 9th
Exam #1 assigned Mar 9th
Exam #1 due Mar 18th

Frank