- The daily homework problems are assigned on Monday and Wednesday and collected Wednesday and Friday, respectively. These will only be checked to see that you made an attempt.
- The weekly problem sets will be assigned at some point during the week and collected on the following Monday. These will be graded for correctness.

**Monday 8/23:**First day.**Wednesday 8/25:**Read:**§0.1--1.1**, Daily problem due:**§1.1**: 11.**Friday 8/27:**Read:**§1.2--1.5**, Daily problem due:**§1.3**: 2.

**Monday 8/30:**Read:**§1.6--1.7**, Problem Set 1 due:**§1.1**: 6 (in this exercise, justify your answer if it's not a group), 19, 24, 28;**§1.3**: 3, 4, 10, 15, 18;**§1.4**: 2, 7, 10.**Wednesday 9/1:**Read:**§2.1--2.2**, Daily problems due:**§1.6**: 1;**§1.7**: 16;**§2.1**: 4.**Friday 9/3:**Read:**§2.3**, Daily problems due:**§2.1**: 16;**§2.2**: 6;**§2.3**2.

**Monday 9/6:**Labor Day, no class.**Wednesday 9/8:**Read:**§2.4--2.5**, Problem Set 2 due:**§:1.6**: 4, 16, 20;**§:1.7**: 8, 17, 18;**§:2.1**: 5, 10;**§:2.2**: 10;**§:2.3**: 11, 19, 24;**Friday 9/10:**Read:**§3.1**, Daily problems due:**§:3.1**: 7, 9.

**Monday 9/13:**Read:**§3.2**, Problem Set 3 due:**§2.4**: 8, 11, 14;**§2.5**: 6(a),(c), 9(a),(b);**§3.1**: 11(a)(c), 22, 24, 36.**Wednesday 9/15:**Read:**§3.3**, Daily problem due:**§3.3**: 1.**Friday 9/17:**Read:**§3.4--3.5**, Daily problems due:**§3.4**: 6;**§3.5**: 6.

**Monday 9/20:**Read:**§4.1**, Problem Set 4 due:**§3.2**: 8, 11, 12, 19;**§3.3**: 3, 7;**§3.5**: 3, 7, 9, 13.**Wednesday 9/22:**Read:**§4.2**, Daily Problems due:**§4.1**: 2;**§4.2**: 2.**Friday 9/24:**Read:**§4.3**, Daily Problems due:**§4.3**: 2, 5 (G is finite in this problem), 12.

**Monday 9/27:**Read:**§4.4--4.5**, Problem Set 5 due:**§4.1**: 3, 4;**§4.2**: 8, 10;**§4.3**13, 23, 24, 27;**§4.4**3, 5.**Wednesday 9/29:**Reread**§4.5**, Daily Problems due:**§4.5**: 4, 18.**Friday 10/1:**Read**§4.6**, Daily Problems due:**§4.5**: 8, 19;**§4.6**: 2.

**Monday 10/4:**Read**§5.1**, Problem Set 6 due:**§4.4**: 9;**§4.5**: 9, 21, 22, 32, 39, 40, 44;**§4.6**: 1, 3. [Note: Somewhere in this problem set, it will be useful to know that the number of elements in (Z/nZ)^{x}is given by Euler's function.**Wednesday 10/6:**Read**§5.2, 6.1**, Daily Problems due:**§5.2**: 1;**§6.1**: 1.**Friday 10/8:**Read**§5.3, 5.4**, Daily Problems due:**§5.4**: 5, 7, 15.

**Monday 10/11:**Read**§5.5**, Problem Set 7 due:**§5.1**: 4, 12;**§5.2**: 4, 7;**§5.4**: 11, 16;**§6.1**: 4, 9, 10.**Wednesday 10/13:**No daily problems today.**Friday 10/15:**Midterm exam and solutions, due Wednesday 10/20 at the start of class. Please read all instructions on the exam. Send me any questions or mistakes as soon as possible. No class today! Good luck!

**Monday 10/18:**Read**§7.1**No problem set this week.**Wednesday 10/20:**Read**§7.2**No daily problems. Midterm exam due today.**Friday 10/22:**Read**§7.3-7.4**Daily problems due:**§7.3**1, 6;**§7.4**8.

**Apology:**I butchered the discussion of Fermat... I was inaccurately recalling some facts which were relevant, but not correct... I'll try to say something at the beginning of class today.

**Monday 10/25:**Read**§7.5**Problem Set 8 due:**§7.1**: 12, 17;**§7.2**: 10;**§7.3**: 5, 13, 26;**§7.4**: 7, 8, 10, 13.**Wednesday 10/27:**Read**§8.1, 8.2**No daily problems today.**Friday 10/29:**Read**§8.3**Daily Problems due:**§8.2**: 1;**§8.3**: 1.

**Monday 11/1:**Read**§9.1--9.3**. Problem Set 9 due:**§7.5**: 3;**§7.6**: 5;**§8.1**: 3, 11;**§8.2**: 2, 3, 8;**§8.3**3, 7.**Wednesday 11/3:**Read**§9.4--9.5**. Daily Problem due:**§9.4**: 1;**Friday 11/5:**Read**§13.1**. Daily Problem due:**§13.1**: 1, 4.

**Monday 11/8:**Read**§13.2**. Daily Problems due:**§13.1**: 2;**§13.2**: 1.

The problem sets will be due on Wednesdays or Fridays for the remainder of the semester.**Wednesday 11/10:**reread**§13.2**and read**§13.3**(we will not cover 13.3 in class). Daily Problem due:**§13.2**: 3.**Friday 11/12:**Read**§13.4**. Problem Set 10 due:**§13.1**: 7 (in Q[x]);**§13.2**: 5, 12, 14, 16, 19, 20;**§13.3**: 1;**§13.4**: 1.

**Monday 11/15:**Read**§13.5, 13.6**. Daily Problems due:**§13.5**: 1;**§13.6**: 1.**Wednesday 11/17:**Read**§14.1**. Daily Problems due:**§14.1**: 2, 3.**Friday 11/19:**reread**§14.1**and read**§14.2**. Problem Set 11 due:**§13.5**: 2, 3, 6;**§13.6**: 5;**§14.1**: 1, 4, 5, 10.

**Monday 11/22:**no class.**Wednesday 11/24:**no class.**Friday 11/26:**no class.

**Monday 11/29:**reread**§14.1**and read**§14.2**. No daily problems today.**Wednesday 12/1:**Read**§14.4**. Daily Problems due:**§14.2**1;**§14.4**2.**Friday 12/3:**Read**§14.5**Problem Set 12 due:**§14.2**: 3, 11, 13, 14;**§14.4**: 1;**§14.5**: 1, 10.

**Monday 12/6:**Read**§14.6****Wednesday 12/8:**Read**§14.7**

**Tuesday 12/14:**Here is the final exam, which is due by 11:00am on 12/14.**Please note that this is the correct date and time, not 12/17!!!**There will also be a short in-class component to the final exam from 9:30am to 11:00am tuesday 12/14 (in our usual classroom), though I expect it will not take the entire 1.5 hours. The exam will be open book, and it will consist of 1 or 2 group theory problems and 1 or 2 Field/Galois Theory problems.

Here are the solutions to the in class portion of the final. Here are the solutions to the take-home portion of the final. A couple comments: the question I asked in problem 2 ii was weaker than what I really wanted (and what the parenthetical indicated). However, I graded this exactly as it was posed (rather than how I intended it). Also, I found a much more direct proof of the very last part of 4, and in the end, I think the hint perhaps made it more complicated. Accordingly, I was very generous in grading this problem.

There are a couple summer programs which may be of interest to you:

- REU at Fairfield University.
- Park City Math Institute (see in particular the undergraduate summer school).

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