Math 28a (Introduction to Groups)

Information for students, Fall 2010

Class meets at: Goldsmith 317, MW 2:10-3:30 PM
Lecturer: Dmitry Kleinbock
Office: Goldsmith 207, phone 6-3059
Office Hours: Tue 3:10-4:30 PM or by appt.
E-mail address: kleinboc@brandeis.edu
Grader: Mike Carr mpcarrr@brandeis.edu, office hours: Mon 1-2 PM in Goldsmith 306.

Class Home Page: http://people.brandeis.edu/~kleinboc/28a/intro.html
Info Handout in PDF: http://people.brandeis.edu/~kleinboc/28a/syll28a.pdf
Text: Contemporary Abstract Algebra, Seventh edition, by Joseph A. Gallian, Brooks/Cole, 2010.
We will cover Chapters 0-11 with some omissions.

V.I. Arnold, On teaching mathematics

Quiz 1: Monday, September 27, on Chapters 1-3. Solutions (PDF)
Quiz 2: Monday, October 4, on Chapter 4. Solutions (PDF)
Quiz 3: Monday, October 11, on Chapter 5. Solutions (PDF)
Quiz 4: Wednesday, November 3, on Chapters 6,7. Solutions (PDF)
Quiz 5: Wednesday, November 10, on Chapter 8. Solutions (PDF)
Quiz 6: Monday, November 29, on Chapter 9. Solutions (PDF)
Quiz 7: Monday, December 6, on Chapter 10. Solutions (PDF)

Midterm: Monday, October 18, on Chapters 1-5. Solutions (PDF)

Review Session: Thursday, December 9, 5 - 6 PM, room 226 (2nd floor Goldsmith).

The Final Exam: Monday, December 13, 1:30 - 4:30 PM, room 317.

Homework assignments and deadlines:

1 Problems 14, 17, 18, 19, 25, 26 in Chapter 2 September 8 Answers (PDF)
2 Problems 10, 14 in Chapter 0; 13, 16, 22 in Chapter 1; 4, 6, 10 in Chapter 3 September 15 Answers (PDF)
3 Problems 20, 22, 24, 26, 42, 46, 48, 56 in Chapter 3 September 22 Answers (PDF)
4 Problems 14, 19, 22, 36, 38, 40, 42, 53, 62 in Chapter 4 September 29 Answers (PDF)
5 Problems 4, 12, 18, 22, 24, 26, 28, 32, 48 in Chapter 5 October 6 Answers (PDF)
6 Problems 2, 6, 46, 53, 56 in Chapter 5; 7, 10, 24, 32 in Chapter 6 October 13 Answers (PDF)
7 Problems 22, 30, 39, 40, 45, 46 in Chapter 6; 6, 8, 10, 14 in Chapter 7 October 27 Answers (PDF)
8 Problems 15, 16, 22, 26, 28, 29, 34, 38 in Chapter 7 November 3 Answers (PDF)
9 Problems 2, 6, 16, 20, 28, 48, 56, 62, 64 in Chapter 8 November 10 Answers (PDF)
10 Problems 12, 14, 16, 22, 28, 43, 54, 66 in Chapter 9 November 17 Answers (PDF)
11 Problems 32, 34, 46, 48, 56, 63, 70 in Chapter 9; 4, 14, 52, 54, 60 in Chapter 10 December 1 Answers (PDF)
12 Problems 18, 20, 24, 30, 44 in Chapter 10; 10, 20, 22, 24, 26, 30, 32 in Chapter 11 December 9 Answers (PDF)

Sample problems for practice: Answers to even-numbered problems (PDF)

Chapter 0 1, 2, 3, 4, 9, 11, 19, 52, 53, 54
Chapter 1 10, 11, 14, 21
Chapter 2 1, 4, 8, 9, 27, 29, 30, 33, 37
Chapter 3 8, 15, 33, 34, 39, 41, 43, 49, 50, 61
Chapter 4 11, 17, 18, 39, 47, 51, 54, 57, 61, 65
Chapter 5 3, 25, 27, 29, 33, 35, 43, 44, 45
Chapter 6 4, 5, 7, 27, 34, 37
Chapter 7 1, 7, 9, 19, 20, 21, 23, 27, 31, 35, 39, 49
Chapter 8 17, 18, 24, 26, 27, 29, 32, 37, 38, 44, 45, 55

Grades will be computed as follows:

Midterm exam, in class, date TBA 30%
The final exam, as scheduled by registrar 50%
Homework 20%

The date of the midterm exam will be announced in advance. Homework is assigned once a week and is due the following week. Late homework will not be accepted. Other parameters, such as class participation (answering or asking questions in class) and bonus points (for optional problems or exceptionally thoughtful analysis of tests/homework) will also affect the students' performance. Quiz scores WILL NOT count towards the final grade.

If you are a student who needs academic accommodations because of a documented disability, please contact me and present your letter of accommodation as soon as possible. If you have questions about documenting a disability or requesting academic accommodations, you should contact Beth Rodgers-Kay in Academic Services (x6-3470 or brodgers@brandeis.edu). Letters of accommodation should be presented at the start of the semester to ensure provision of accommodations. Accommodations cannot be granted retroactively.

You are expected to follow the University's policy on academic integrity, which is distributed annually as section 4 of the Rights and Responsibilities Handbook. Instances of alleged dishonesty will be forwarded to the Department of Student Development and Conduct for possible referral to the Student Judicial System. Potential sanctions include failure in the course and suspension from the University. If you have any questions about how these policies apply to your conduct in this course, please ask.

Have a great semester!