Our weekly problem sessions will be held online every Friday, from 10:00am-noon. We'll use the same Zoom link that we use for office hours.
If you're interested in typesetting math, the system I use to make my handouts is called LaTeX, and it can be downloaded for free (in Windows format) at http://www.miktex.org. If you own a Mac (system OS X) or a Linux computer, you already own a copy of this program, as it's been a standard Unix program for about 20 years. And for our purposes, the key point is that under any system, LaTeX can produce pdf output that is ideal for online homework submission.
LaTeX is well worth learning, if you have some free time; it's used for manuals and technical reports throughout nerd-dom. For self-study, I highly recommend the LaTeX book by Leslie Lamport, which you can purchase here.
In the box below are some acronyms that I use all the time, both in class and when grading your work. You are welcome to use them as well.
Course greensheet, Tech expectations for Math 128B.
Course mechanics: Homework in Math 128B, Checkins, How to take a Zoom proctored exam.
Course content: Final from Math 128A, Writing proofs. The Minimal Polynomial Theorem, additional notes for Galois Theory.
Exam 1, Exam 2, Exam 3, Final exam.
Exam 1, Exam 2, Exam 3, Final exam.
Click on the link in the "Sections covered" column for a copy of the slides for the day; click on the link in "Extra slides" for other stuff displayed that day; and click on the link in the "Video" column to watch the lecture on YouTube. Or just check out our class playlist here.
| Date | Sections covered | Extra slides | Video |
| Wed Jan 27 | Intro, Ch. 12 | Video | |
| Mon Feb 01 | Ch. 12 (cont.) | Video | |
| Wed Feb 03 | Ch. 13 | Video | |
| Mon Feb 08 | Ch. 14 | Video | |
| Wed Feb 10 | Ch. 14 (cont.) | Video | |
| Mon Feb 15 | Ch. 15 | Video | |
| Wed Feb 17 | Ch. 15 (cont.) | Video | |
| Mon Feb 22 | Ch. 16 | Video | |
| Sample exam 1 | Video | ||
| Mon Mar 01 | Ch. 17 | Video | |
| Wed Mar 03 | Ch. 17 (cont.) | Video | |
| Mon Mar 08 | Ch. 18 | Video | |
| Wed Mar 10 | Ch. 18 (cont.) | Video | |
| Mon Mar 15 | Ch. 19 | Video | |
| Wed Mar 17 | Ch. 20 | Video | |
| Mon Mar 22 | Ch. 20 (cont.) | Video | |
| Wed Mar 24 | Ch. 21 | Video | |
| Mon Apr 05 | Ch. 21 (cont.) | Video | |
| Sample exam 2 | Video | ||
| Mon Apr 12 | Ch. 21 (recap) | Video | |
| Wed Apr 14 | Ch. 21 (conclusion) | Video | |
| Mon Apr 19 | Ch. 22 | Video | |
| Wed Apr 21 | Ch. 22-23 | Video | |
| Mon Apr 26 | Ch. 23, groups | Video | |
| Wed Apr 28 | Permutation groups | Video | |
| Sample exam 3 | Video | ||
| Wed May 05 | Permutation subgroups | Video | |
| Mon May 10 | Normal subgroups; Ch. 32 | Video | |
| Wed May 12 | Ch. 32 cont. | Video | |
| Mon May 17 | Ch. 32 concluded | Video | |
| Sample final exam | Video |
| HW | New definitions | Outline due | Due date | Last revision due | Problems |
| PS00 | n/a | n/a | Mon Feb 01 | n/a | See handout |
| PS01 | Ch. 12, 13 | Wed Feb 03 | Mon Feb 08 | Mon Apr 05 | See handout |
| PS02 | Ch. 14 | Wed Feb 10 | Mon Feb 15 | Mon Apr 05 | See handout (updated Feb 09) |
| PS03 | Ch. 15 | Wed Feb 17 | Mon Feb 22 | Mon Apr 05 | See handout |
| PS04 | Ch. 16, 17 | Wed Mar 03 | Mon Mar 08 | Mon Apr 05 | See handout |
| PS05 | Ch. 18 | Wed Mar 10 | Mon Mar 15 | Mon May 10 | See handout |
| PS06 | Ch. 19 | Wed Mar 17 | Mon Mar 22 | Mon May 10 | See handout |
| PS07 | Ch. 20 | Fri Apr 09 | Mon Apr 12 | Mon May 10 | See handout |
| PS08 | Ch. 21 | Thu Apr 15 | Mon Apr 19 | Mon May 17 | See handout |
| PS09 | Ch. 22-23 | Fri Apr 23 | Wed Apr 28 | Mon May 17 | See handout |
| PS10 | n/a | Fri May 07 | Mon May 10 | Mon May 17 | See handout |
| PS11 | Ch. 32 | Fri May 14 | Mon May 17 | TBA | See handout |
Contemporary Abstract Algebra, Gallian: Chapters 12-18, 19-21 (along with the Minimal Polynomial Theorem), 22-23, 32 (along with additional notes for Galois Theory). Review: Chapters 1, 4, 5, 7, 9, 10.
LaTeX is well worth learning, if you have some free time; it's used for manuals and technical reports throughout nerd-dom. For self-study, I highly recommend Learning LaTeX (Griffiths and Higham) for beginners, and the LaTeX book by Leslie Lamport as a reference.
| Homework: | 25% |
| Exam 1: | 14% |
| Exams 2 & 3: | 18% each |
| Final: | 25% |