# Math 541-001: Modern Algebra

(Instructor: Steffen Lempp)

This course covers the basics of group theory and ring theory.
### VIRTUAL OFFICE HOURS:

Office hours: Mondays and Wednesdays, 1:20-2:10p.m. by Google meet

(Email me
(@math.wisc.edu">lemppmath.wisc.edu)
to request a google meeting, or to arrange another time for one.

You will need only a browser open, with microphone and speaker enabled, and
possibly a camera, and I will send you a code to log in.

No in-person meetings for now!)
### COURSE ASSISTANT:

There is a course assistant for our course, Kenneth Ma
(sma252@wisc.edu),
his office hours are Mondays 3-4pm, Tuesdays 4-5pm, and Wednesdays 6-7pm
in Van Vleck B224.
### PROOF TABLE:

A collaborative place for students in higher undergraduate math courses,
Sundays through Thursdays 4-9pm in Van Vleck B333.
### HOMEWORK:

Homework will be due on Fridays at the beginning of class.
There will be **no** credit for late homework except
in case of illness, quarantine or family emergency.

**HW # 1 DUE 9/16:** p. 21, # 1ab, 2ab, 11, 18, 27, 33;
p. 27, # 1, 3, 5, 9, 18
**HW # 2 DUE 9/23:** p. 32, # 1, 4, 9a, 13, 16;
p. 40, # 2, 6, 10, 17, 22; p. 44, # 3, 8, 18, 19
**HW # 3 DUE 9/30:** p. 48, # 3, 9, 11, 15;
p. 52, # 1, 4 (for S_{3} and D_{8} only), 9, 11;
p. 60, # 6, 9, 11, 21, 25
**HW # 4 DUE 10/7:**
p. 65, # 6, 8, 14, 16, 19
**HW # 5 DUE 10/14:** p. 85, # 1, 6, 9, 14, 20, 24, 31, 34, 41
**HW # 6 DUE 10/21:** p. 95, # 5, 9, 11, 12, 14, 16, 17;
p. 101, # 4, 7, 9
**HW # 7 DUE 10/28:** p. 111, # 3, 4, 12, 16;
p. 116, # 1, 2, 4, 7, 8
**HW # 8 DUE 11/4:** p. 121, # 1, 3, 6, 8, 10
**HW # 9 DUE 11/11:** p. 130, # 3, 5, 8, 10, 17, 29, 31
**HW # 10 DUE 11/18:** p. 230, # 5abef, 6acde, 7, 9, 20, 21;
p. 238, # 2, 3, 9, 12
**HW # 11 DUE 11/23:** p. 248, # 4, 7, 9 (for 6acde), 17, 19,
26, 34
**HW # 12 DUE 12/2:** p. 256, # 7, 10, 13, 15, 18, 20;
p. 264, # 3, 5
**HW # 13 DUE 12/9:** p. 267, # 1, 4, 5, 6, 7;
p. 277, # 1ac, 2ac, 3, 7, 11
**HW # 14 DUE 12/14:** p. 282, # 2, 4, 8;
p. 292, # 1, 4, 8 (you can use p. 283, #5)

### HONORS WORK:

If you are signed up for honors work, you will have to do the extra reading of
sections 4.4-4.6 and 6.3, which the rest of the class will skip, as well as
homework problems from these sections, due at the beginning of the last
class of the semester.
**HONORS HOMEWORK DUE 12/14:** p. 137, # 1, 3, 6, 8, 13;
p. 147, # 4, 7, 14, 16, 24, 30, 46; p. 151, # 1, 4; p. 220, # 4, 5, 8, 11

### EXAMS:

Makeup exams will be scheduled **only** with the instructor's
consent, and only in case of illness, quarantine or family emergency.

**Midterm exam 1:** Wednesday, October 12, 7:30-8:30p.m.
in B239 Van Vleck (covers sections 1.1-1.3, 1.6, 1.7, and 2.1-2.4)
**Midterm exam 2:** Wednesday, November 16, 7:30-8:30p.m.
in B239 Van Vleck (covers sections 3.1-3.3, 3.5, and 4.1-4.3)
**Final exam:** Wednesday, December 19, 12:25-2:25p.m.
in 1153 Mechanical Engineering (covers midterm material and chapters 7 and
8)

Prepared by
Steffen Lempp
(@math.wisc.edu">lemppmath.wisc.edu)