Higher Algebra II (Math 221B), Spring 2020

MacQuarrie Hall 233, MW 9:00-10:15am (Sec. 01, code 22689)

Last update of this page: Tue May 11, 2:30pm

Announcements:

FUA (Frequently Used Acronyms):

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.

(list of Frequently Used Abbreviations)


Administrative handouts:

Course greensheet.

Course notes:

None yet.

Sample exams:

Beginning-of-semester review: Math 128A final exam.

Exam 1, Exam 2.


Online lectures:

Click on the link in the "Sections covered" column for a copy of the slides for the day; click on the link in the "Video" column to watch the lecture on YouTube.
Date Sections covered Video
Wed Mar 11 Sec. 13.8 No video available
Mon Mar 16 Sec. 15.1-15.2 Video for Sec. 15.1-15.2
Wed Mar 18 Sec. 15.3-15.4 Video for Sec. 15.3-15.4
Mon Mar 23 Sec. 15.4 and 15.6 Video for Sec. 15.4 and 15.6
Wed Mar 25 Sec. 15.6-15.7 Video for Sec. 15.6-15.7
Mon Apr 06 Sec. 15.8 and 16.1 Video for Sec. 15.8 and 16.1
Wed Apr 08 Sec. 16.2 and 16.3 Video for Sec. 16.2-16.3
Mon Apr 13 Sec. 16.4 and 16.5 Video for Sec. 16.4-16.5
Wed Apr 15 Sec. 16.6 Video for Sec. 16.6
Mon Apr 20 Sec. 16.7 Video for Sec. 16.7
Wed Apr 22 Sec. 16.7 and 16.8 Video for Sec. 16.7 and 16.8
Mon Apr 27 Sec. 16.8 and 16.9 Video for Sec. 16.8 and 16.9
Wed Apr 29 Sec. 16.9 Video for Sec. 16.9
Mon May 04 Sec. 16.11 and 16.12 Video for Sec. 16.11 and 16.12
Wed May 06 Geometric group theory, part 1 Video for Geometric group theory, part 1
Mon May 11 Geometric group theory, part 2 Video for Geometric group theory, part 2

Problem sets:

Numbers of the form A.B.C refer to Problem C of Section B of Chapter A of Artin.


HW Due date Last revision due Problems to be done but not turned in Problems to turn in
PS01 Mon Feb 03 Mon Feb 24 11.1.2, 11.1.6(b), 11.1.8, 11.3.2, 11.3.3(a,d), 11.3.9, 11.3.12. 11.1.1, 11.1.6(a), 11.2.2 (units part only), 11.3.2, 11.3.3(c), 11.3.10, 11.3.13.
PS02 Mon Feb 10 Wed Mar 25 11.4.1, 11.4.3(b), 11.5.1, 11.5.7, 11.6.2, 11.6.5, 11.8.2. 11.4.2, 11.4.3(e), 11.5.4(a), 11.6.1, 11.6.8, 11.7.4, 11.8.3.
PS03 Mon Feb 17 Wed Mar 25 12.1.2, 12.2.1, 12.2.4, 12.2.6(a), 12.3.3, 12.3.6. 12.1.5, 12.2.5(a), 12.2.6(b), 12.2.7. 12.2.9, 12.3.1, 12.3.2.
PS04 Mon Mar 02 Wed Apr 29 12.4.5, 12.4.10, 12.4.15, 12.5.2, 12.5.5, 12.5.7, 13.1.1, 13.1.4. 12.4.6, 12.4.12(a,b), 12.4.17, 12.5.6, 12.5.10, 13.1.2, 13.1.3(a,b).
PS05 Mon Mar 09 Wed Apr 29 13.2.2, 13.3.1, 13.3.3, 13.4.1, 13.5.1. 13.2.1, 13.3.2(a,b), 13.3.4(b,e), 13.4.2, 13.4.3, 13.5.2.
PS06 Mon Mar 16 Wed Apr 29 13.6.1, 13.6.2, 13.6.4, 13.6.6, 13.7.1, 13.7.2 13.6.3, 13.6.5, 13.6.7, 13.7.3, 13.7.4.
PS07 Mon Mar 23 Wed Apr 29 13.8.1, 13.8.2, 13.8.5(a), 13.8.6(a,c), 15.1.2, 15.2.2. 13.8.3, 13.8.5(b), 13.8.6(b,e), 15.1.1, 15.2.1.
PS08 Mon Apr 13 Mon May 11 15.3.1, 15.3.4(c,f), 15.3.7, 15.4.2(b), 15.6.2, 15.7.5, 15.7.2. 15.3.2, 15.3.3, 15.3.6, 15.4.1, 15.6.1, 15.7.6, 15.7.7.
PS09 Mon Apr 20 Mon May 11 15.7.12, 16.1.1(a,e), 16.2.1, 16.2.4(c), 16.3.2(b). 15.7.13, 16.1.1(b,c), 16.2.2, 16.2.4(b), 16.3.1, 16.3.2(c).
PS10 Mon Apr 27 Mon May 18 16.4.1(a), 16.5.1(a,d), 16.6.1, 16.7.2, 16.7.8, 16.7.10, 16.8.2(c,f). 16.4.1(b), 16.5.1(b,c), 16.6.2, 16.7.4, 16.7.6 (prove or give counterexample), 16.7.9, 16.8.2(e).
PS11 Mon May 11 Mon May 18 16.9.1, 16.9.4, 16.9.6, 16.9.12(b,f), 16.9.13, 16.11.2, 16.12.1. 16.9.3, 16.9.5, 16.9.7, 16.9.12(a,d), 16.9.18, 16.11.1, 16.12.3.

Reading assigned in course:

Artin: 11.1-11.6, 11.7 (integral domains only), 11.8 (when is a quotient ring a field), 12.1-12.5, 13.1-13.8, 15.1-15.4, 15.6-15.8, 16.1-16.9, 16.11-16.12.