Course Guidelines Math 434
Dr. R. Beezer Spring 2013

Text We will be using Abstract Algebra: Theory and Applications, by Thomas W. Judson as our textbook. We will cover material from Chapters 16 through 23.

Home Page Start at http://buzzard.ups.edu/courses.html to locate the WWW page for this course.

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 electronic mail — my address is beezer@ups.edu. Office Hours are 1:30–3:00 on Monday, Wednesday and Friday. You may make an appointment for other times, or just drop by my office. 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 Homework will be assigned for each chapter, but will not be collected. Of course, you are not limited to working just these assigned problems. On Fridays we will have a problem session where we can discuss 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 are posted on the course WWW page, along with careful directions about submitting your responses. These are due to me by midnight the evening before we begin discussing a new chapter. These should be submitted 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 shortly after the lectures for each chapter, as a Sage worksheet attached to an email sent to the same address as for the reading questions.

Exams There will be four one-hour exams — see the attached sheet for tentative dates — at the conclusion of each two chapters. The lowest of your exam scores will be dropped. The comprehensive final exam will be given at 8 AM on Monday, May 13. 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.

Projects Each student will give research a topic related to the course and use this as the subject of a paper and an in-class presentation. Details will be provided separately early in the semester.

Grades Grades will be based on the following breakdown: Reading Questions — 5%; Sage Exercises — 20%; Project — 15%; Exams — 40%; Final — 20%. Homework, attendance and improvement will be considered for borderline grades. Scores will be posted anonymously on the World Wide Web 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 includes 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/.

Attendance Daily attendance is required, expected, and overall a pretty good idea.

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. I will not routinely check attendance, but our class is small enough that I will notice when you are not here, and again this will be another way that you signal me about your commitment to the endeavor.

We will build upon, and extend, the basic ideas of algebra that we studied for groups last semester. At the end of this term you should be familiar with many new algebraic structures, and be able to readily understand new ones you will encounter later. We will also encounter some surprising applications. The investment of your time and energy applied will be amply repaid by a full understanding of the deeper ideas of algebra.

Suggested Exercises
   
ChapterComputational Theoretical
   
16 1, 3, 5, 6, 7, 8, 9, 10, 12 2, 16, 20, 21, 25, 27, 28, 29, 34, 37, 39
   
17 3bc, 4ab, 5ab, 7, 8, 10, Additional: 2-813, 14, 17, 18, 19, 23, 24, 25
   
18 1, 10, 15 5, 7, 9, 11, 12, 13, 14, 17, 19
   
19 1, 2, 3, 5, 11 12, 13, 15, 16, 18, 21, 22, 23
   
20 3, 4, 9 10, 13, 16, 18 (maybe more to come)
   
21 1, 2, 3bcd, 4, 6, 8, 9 11, 16, 19, 20, 21
   
22 1bc, 3, 4, 7, 8 14, 15, 17, 18, 21
   
23 1, 2, 3, 4, 5, 11 6, 7, 9, 12, 13, 14, 20

Tentative Daily Schedule

Monday       Thursday Friday
8:30 - 9:50       8:00 - 9:20 9:00 - 9:50
    
Jan 21
MLK Day
Jan 24
Polish
Permutations
Jan 25
Polish
Permutations
    
Jan 28
Chapter 16
Jan 31
Chapter 16
Feb 1
Problems
    
Feb 4
Chapter 16/17
Feb 7
Chapter 17
Feb 8
Problems
    
Feb 11
Chapter 17
Feb 14
Chapter 18
Feb 15
Problems
    
Feb 18
Chapter 18
Feb 21
Exam 16, 17
Feb 22
Problems
    
Feb 25
Chapter 18/19
Feb 28
Chapter 19
Mar 1
Problems
    
Mar 4
Chapter 19
Last day to drop
Mar 7
Chapter 20
Mar 8
Problems
    
Mar 11
Chapter 20
Mar 14
Exam 18, 19
Mar 15
Problems
    
    
Mar 25
Chapter 20/21
Mar 28
Chapter 21
Mar 29
Problems
    
Apr 1
Chapter 21
Apr 4
Chapter 22
Apr 5
Problems
    
Apr 8
Chapter 22
Apr 11
Exam 20, 21
Apr 12
Problems
    
Apr 15
Chapter 22
Apr 18
Chapter 23
Apr 19
Problems
    
Apr 22
Chapter 23
Apr 25
Chapter 23
Apr 26
Problems
    
Apr 29
Projects
May 2
Exam 22, 23
May 3
Project
    
May 6
Projects