Course Guidelines Math 433A
Dr. R. Beezer Fall 2012

Text We will be using Abstract Algebra: Theory and Applications, by Thomas W. Judson as our textbook. We will cover material from thirteen of the first fifteen chapters as described on the calendar. This is an open source textbook, which in part means you are free to make unlimited copies. The book’s website is http://abstract.ups.edu/. The “2012 Edition” will be the version I will follow for this course — it is your responsibility to be careful about numbering of chapters and exercises if you use an old edition.

Home Page Start at http://buzzard.ups.edu/courses.html for course information.

Office Hours My office is in Thompson 303; the telephone number is 879–3564. Making appointments or simple, non-mathematical questions can be handled via email — my address is beezer@ups.edu. Do not confuse this address with the one used for submitting homework (I only look at the homework address when something is due). Office Hours are 10–10:50 on Monday and Friday, and 9:30–11:20 on Tuesday and Thursday. Office Hours are first-come, first-served, so I do not make appointments for these times. You may make an appointment for other times, or just drop by my office to see if I am in. Office Hours are your opportunity to receive extra help or clarification on material from class, or to discuss any other aspect of the course.

Homework Exercises from the text will be assigned for each chapter, but will not be collected. Of course, you are not limited to working just these assigned problems. Once per chapter we will have a day reserved for discussion when we can talk about these problems. It is your responsibility to be certain that you are learning from the homework exercises. The best ways to do this are to work the problems diligently when assigned and to participate in the classroom discussion. If at this point you are still unsure about a problem, then a visit to my office is in order. Making a consistent effort outside of the classroom is the easiest way to do well in this course.

Mathematics not only demands straight thinking, it grants the student the satisfaction of knowing when he [or she] is thinking straight.
   — D. Jackson

Mathematics is not a spectator sport.
   — Anonymous

I hear, I forget.
I see, I remember.
I do, I understand.
   — Chinese Proverb

An education is not received. It is achieved.
   — Anonymous

Reading Questions Reading questions for the entire semester are posted on the course webpage, along with careful directions about submitting your responses. These are due to me by midnight the evening before we begin discussing a new chapter, as indicated on the schedule. These should be submited to the email address announced in class, not my beezer@ups.edu address.

Sage Exercises For each chapter there will be assigned exercises to work in Sage. These will be due on the discussion day following the lectures for each chapter, as a Sage worksheet attached to an email sent to the same address as for the reading questions. We will discuss this procedure in class.

Exams There will be eleven one-hour exams, see the attached calendar for planned dates. With two exceptions, these will each cover a single chapter. The two lowest of your exam scores will be dropped. The comprehensive final exam will be given at 8 AM on Friday, December 14. The final exam cannot be given at any other time, so be certain that you do not make any travel plans that conflict, and also be aware that I will allow you to work longer on the final exam than just the two-hour scheduled block of time.

Grades Grades will be based on the following breakdown: Reading Questions — 5%; Sage Exercises — 25%; Exams — 45%; Final — 25%. Homework, attendance and improvement will be considered for borderline grades. Scores will be posted anonymously at http://buzzard.ups.edu/courses.html.

Reminders Three reminders about university policies contained in the Academic Handbook. These are described thoroughly online, or a printed copy may be requested from the Registrar’s Office (basement of Jones Hall).

“Regular class attendance is expected of all students. When non-attendance is in the instructors judgment excessive, the instructor may levy a grade penalty or may direct the Registrar to drop the student from the course.”
See http://www.pugetsound.edu/student-life/student-resources/student-handbook/
academic-handbook/registration-for-courses-of-in/#Attendance.

Withdrawal grades are often misunderstood. A Withdrawal grade (W) can only be given during the third through sixth weeks of the semester, after that time (barring unusual circumstances), the appropriate grade is a Withdrawal Failing (WF), even if your work has been of passing quality. See the attached schedule for the last day to drop with an automatic ‘W’.
See http://www.pugetsound.edu/student-life/student-resources/student-handbook/
academic-handbook/grade-information-and-policy/#withdrawal.

All of your graded work is expected to be entirely your own work, this means reading questions and Sage exercises. Anything to the contrary is a violation of the university’s comprehensive policy on Academic Integrity (cheating and plagiarism). Discovered incidents will be handled strictly, in accordance with this policy. Penalties can include failing the course and range up to being expelled from the university.
See http://www.pugetsound.edu/student-life/student-resources/student-handbook/
academic-handbook/academic-integrity/.

Conduct Daily attendance is required, expected, and overall a pretty good idea. Class will begin on-time, so be here, settled in and ready to go. In other words, walking in the door at the exact time class is to begin is not acceptable. Repeated tardieness and absences will result in grade penalties. Do not leave class during the lecture unless there is a real emergency — fill your water bottles, use the toilet, and so on, in advance. Please keep phones in your pocket or bag. In short, we are here to learn and discuss abstract algebra and it is your responsibility to not distract your peers who are serious about their education.

Purpose At this point in your college career, you should be well on your way to being an independent scholar, who appreciates the beauty of mathematics and understands the effort needed to master new and difficult ideas. Consistent with that, I will be giving you a fair degree of freedom to learn this material in a manner that suits you.

Read the book before the lectures, work the exercises diligently, tidy up your class notes each evening, and ask questions. Arriving late to class, or having conversations with others during class, not only disrupts your peers, but tells me you are not serious about your education.

Many consider group theory (the branch of Abstract Algebra that we will concentrate on this semester) one of the most fascinating areas of mathematics. The investment of your time and energy applied to studying it will be amply repaid by a full understanding of its deeper ideas.

Classroom Emergency Response Guidance Please review university emergency preparedness and response procedures posted at www.pugetsound.edu/emergency/. There is a link on the university home page. Familiarize yourself with hall exit doors and the designated gathering area for your class and laboratory buildings.

If building evacuation becomes necessary (e.g. earthquake), meet your instructor at the designated gathering area so she/he can account for your presence. Then wait for further instructions. Do not return to the building or classroom until advised by a university emergency response representative.

If confronted by an act of violence, be prepared to make quick decisions to protect your safety. Flee the area by running away from the source of danger if you can safely do so. If this is not possible, shelter in place by securing classroom or lab doors and windows, closing blinds, and turning off room lights. Lie on the floor out of sight and away from windows and doors. Place cell phones or pagers on vibrate so that you can receive messages quietly. Wait for further instructions.

Tentative Daily Schedule
Monday Tuesday Thursday Friday
Aug 27
Syllabus
Lecture
Chapter 1
Aug 28
Lecture
Chapter 1
Aug 30
Introduction
to Sage
Aug 31
Problem Session
     
Sep 3
Labor Day
Sep 4
Lecture
Chapter 2
Sep 6
Lecture
Chapter 2
Sep 7
Problem Session
     
Sep 10
Exam
Chapters 1, 2
Sep 11
Lecture
Chapter 3
Sep 13
Lecture
Chapter 3
Sep 14
Problem Session
     
Sep 17
Exam
Chapter 3
Sep 18
Lecture
Chapter 4
Sep 20
Lecture
Chapter 4
Sep 21
Problem Session
     
Sep 24
Exam
Chapter 4
Sep 25
Lecture
Chapter 5
Sep 27
Lecture
Chapter 5
Sep 28
Problem Session
     
Oct 1
Exam
Chapter 5
Oct 2
Lecture
Chapter 6
Oct 4
No class
Oct 5
No class
     
Oct 8
Lecture
Chapter 6
Last day to drop
Oct 9
Problem Session
Oct 11
Exam
Chapter 6
Oct 12
Lecture
Chapter 9
     
Monday Tuesday Thursday Friday
Oct 15
Fall Break
Oct 16
Fall Break
Oct 18
Lecture
Chapter 9
Oct 19
Problem Session
     
Oct 22
Exam
Chapter 9
Oct 23
Lecture
Chapter 10
Oct 25
Lecture
Chapter 10
Oct 26
Problem Session
     
Oct 29
Exam
Chapter 10
Oct 30
Lecture
Chapter 11
Nov 1
Lecture
Chapter 11
Nov 2
Problem Session
     
Nov 5
Exam
Chapter 11
Nov 6
Lecture
Chapter 12
Nov 8
Lecture
Chapter 12
Nov 9
Problem Session
     
Nov 12
Exam
Chapter 12
Nov 13
Lecture
Chapter 14
Nov 15
Lecture
Chapter 14
Nov 16
Problem Session
     
Nov 19
Lecture
Chapter 7
Nov 20
Lecture
Chapter 7
Nov 22
Thanksgiving
Nov 23
Thanksgiving
     
Nov 26
Exam
Chapters 7, 14
Nov 27
Lecture
Chapter 15
Nov 29
Lecture
Chapter 15
Nov 30
Problem Session
     
Dec 3
Exam
Chapter 15
Dec 4
Housekeeping
     
Final Examination
8 AM, Friday, December 14

Suggested Exercises
   
ChapterComputational Theoretical
   
1 18, 25 8, 9, 22c, 28, 29
   
2 15 5, 10, 16, 18, 27
   
3 1, 3, 5, 6, 10, 17, 32 29, 30, 31, 38, 43, 44, 45, 46, 53, 55
   
4 3, 4, 5, 6, 7, 8, 9, 11, 20, 21, 22b24, 26, 27, 28, 30, 34, 37
   
5 2, 3, 5, 7, 9, 10, 15 4, 18, 20, 23, 25, 27, 30, 33, 35
   
6 1, 2, 5 3, 6, 11, 12, 17, 19, 20, 23, 23
   
9 3, 5, 10, 12, 14, 16, 17 20, 21, 22, 24, 25, 29, 34, 35, 38, 48
   
10 1bcd, 2, 3, 4 5, 6, 7, 9, 11, 12, 13, 14, 15
   
11 2, 3, 4, 5, 6; Additional: 7, 8 8, 15, 16, 17, 20; Additional: 2, 3, 9, 10
   
13 1, 2, 3, 4bc 6, 9, 11, 12, 13
   
14 2, 3, 4, 6, 9, 11, 13, 17 (S3 only)20, 22, 24
   
7 7, 8, 10
15 1, 2, 3, 5, 6, 9, 15, 16, 17, 24 4, 7, 8, 10, 12, 14, 21