There is no required text, but if you want a book I recommend Abstract Algebra by Thomas Judson. You can download it for free; be sure to get the latest edition. (I'm not following it or using itin any way.) Lecture notes are linked above, and homework will be posted here.

[03--25--218] During the makeup class on Saturday, March 24, I covered the material on *normal subgroups and quotient groups* that is in the 3 videos currently online. (The links are with the printed notes, linked above.) You should be sure to watch them and look at the printed notes if you were not at the class, since you are responsibile for the material.

- A group example (1--21--2018) [PDF]
- TI-83/84/86 programs to list
the elements of <x> in U
_{n}and Z_{n}- Written by Noelle Shellenberger (S'18). Note: Don't use the U_{n}program if the powers of the generator are bigger than around 10^{12}, or the overflow will make the results useless.

Renee Alshouse pointed out that in the cyclic subgroups programs above, you should start the loops at 0 rather than 1 if you want the identity element to be listed first. Otherwise, you'll get it when the list "closes up".

You can enter a short program to get a *mod* function if you have a TI 83 or 84.

[04--29--2018] I will hand out paper copies of P.S. 29 in class; the work should be done on the handouts. A PDF file for the assignment is given below just in case. Note that no free makeups may be used on this last problem set (due Friday, May 4).

- Problem Set 1 [PDF] - due Friday, January 26
- Problem Set 2 [PDF] - due Monday, January 29
- Problem Set 3 [PDF] - due Wednesday, January 31
- Problem Set 4 [PDF] - due Friday, February 2
- Problem Set 5 [PDF] - due Monday, February 5
- Problem Set 6 [PDF] - due Wednesday, February 7
- Problem Set 7 [PDF] - due Friday, February 9
- Problem Set 8 [PDF] - due Monday, February 12
- Problem Set 9 [PDF] - due Wednesday, February 14
- Problem Set 10 [PDF] - due Friday, February 23
- Problem Set 11 [PDF] - due Monday, February 26
- Problem Set 12 [PDF] - due Wednesday, February 28
- Problem Set 13 [PDF] - due Friday, March 2
- Problem Set 14 [PDF] - due Monday, March 5
- Problem Set 15 [PDF] - due Friday, March 9
- Problem Set 16 [PDF] - due Friday, March 23 (deadline revised due to snow day)
- Problem Set 17 [PDF] - due Monday, March 26 (deadline revised due to snow day; old #4(b) moved to P.S. 18)
- Problem Set 18 [PDF] - due Wednesday, March 28
- Problem Set 19 [PDF] - due Monday, April 2
- Problem Set 20 [PDF] - due Wednesday, April 4
- Problem Set 21 [PDF] - due Friday, April 6
- Problem Set 22 [PDF] - due Monday, April 9
- Problem Set 23 [PDF] - due Wednesday, April 11
- Problem Set 24 [PDF] - due Friday, April 13
- Problem Set 25 [PDF] - due Wednesday, April 18
- Problem Set 26 [PDF] - due Friday, April 20
- Problem Set 27 [PDF] - due Monday, April 23
- Problem Set 28 [PDF] - due Wednesday, May 2
- Problem Set 29 [PDF] - due
Friday, May 4 -
*No free makeups may be used*

Solutions to the problem sets will be posted after the problem sets have been collected.

- Solutions to Problem Set 1

[PDF] - Solutions to Problem Set 2

[PDF] - Solutions to Problem Set 3

[PDF] - Solutions to Problem Set 4

[PDF] - Solutions to Problem Set 5

[PDF] - Solutions to Problem Set 6

[PDF] - Solutions to Problem Set 7

[PDF] - Solutions to Problem Set 8

[PDF] - Solutions to Problem Set 9

[PDF] - Solutions to Problem Set 10

[PDF] - Solutions to Problem Set 11

[PDF] - Solutions to Problem Set 12

[PDF] - Solutions to Problem Set 13

[PDF] - Solutions to Problem Set 14

[PDF] - Solutions to Problem Set 15

[PDF] - Solutions to Problem Set 16

[PDF] - Solutions to Problem Set 17

[PDF] - Solutions to Problem Set 18

[PDF] - Solutions to Problem Set 19

[PDF] - Solutions to Problem Set 20

[PDF] - Solutions to Problem Set 21

[PDF] - Solutions to Problem Set 22

[PDF] - Solutions to Problem Set 23

[PDF] - Solutions to Problem Set 24

[PDF] - Solutions to Problem Set 25

[PDF] - Solutions to Problem Set 26

[PDF] - Solutions to Problem Set 27

[PDF] - Solutions to Problem Set 28

[PDF] - Solutions to Problem Set 29

[PDF]

Review Sheets help you study for tests; they're not graded work that you have to turn in. Just because there's a problem on the review sheet doesn't mean that there will be a similar problem on the test. And there may be problems on the test which are different from the review sheet problems. You're responsible for all the material we've covered.

[Wednesday, May 9] There was a typo in Problem 20 on the Review Sheet for the Final: "149!" should have been "148!". It's been corrected in the version linked below. Thanks to Renee Alshouse for pointing this out.

[Thursday, May 10] There was a typo in Problem 47 on the Review Sheet for the Final: The answer should be "3", not "4". It's been corrected in the version linked below. Thanks to Noelle Shellenberger for pointing this out.

- Review Sheet for Test 1

[PDF] - Review Sheet for Test 2

[PDF] - Review Sheet for Test 3

[PDF] - Review Sheet for the Final

[PDF]

I used to hold in-person review sessions (I stopped due to poor attendance). These are notes for the review sessions. If there's any question, refer to the review sheet for the test to see what you're responsible for.

*The notes and the videos are not in sync with the material for a given test!* (So there may be material on them you're not responsible for, and there may be material not included that you are responsible for.)

- Review Session for Test 1 [PDF]
- Review Session for Test 2 [PDF]
- Review Session for Test 3 [PDF]
- Review Session for the Final [PDF]

These are videos for the review sessions. (They're a little old.) You'll see me writing solutions to selected problems as I talk through the answers. I don't do all of the problems in the printed notes above. Most of the review sessions are in parts, so the videos don't get too long and the files don't get too big.

*(Repeated for emphasis) The notes and the videos are not in sync with the material for a given test!* (So there may be material on them you're not responsible for, and there may be material not included that you are responsible for.)

- Review Session for Test 1 - Part 1 (video, 32 MB, 28 minutes)
- Review Session for Test 1 - Part 2 (video, 28 MB, 25 minutes)
- Review Session for Test 2 - Part 1 (video, 20 MB, 18 minutes)
- Review Session for Test 2 - Part 2 (video, 30 MB, 26 minutes)
- Review Session for Test 3 - Part 1 (video, 38 MB, 33 minutes)
- Review Session for Test 3 - Part 2 (video, 23 MB, 20 minutes)
- Review Session for the Final - Part 1 (video, 21 MB, 19 minutes)
- Review Session for the Final - Part 2 (video, 27 MB, 23 minutes)

*If you're having personal problems:* Please consider seeing
Counseling Services. They're on the 3^{rd} floor of Lyle Hall; they're free and confidential, and they've helped many of my students. It's natural to want to fix things yourself, but if your problems are causing you to miss class, to get behind in courses, or to get poor grades, it's best to get help.

Copyright 2018 by Bruce Ikenaga