Math 200, Fall 2008

Course Information

Meeting Time:

The course meets Monday, Wednesday, Friday 3:05-3:55pm in room 227, Physics Bldg.

Lectures are likely to run from August 25 through December 5.

Text:

Michael Artin, Algebra, Prentice Hall

Instructor:

Chad Schoen

191 Physics Building

660-2813

schoen@math.duke.edu

Office Hours:

Mondary 11:30 - 12:30

Friday 11:30 - 12:30

or by appointment

Generalities on homework:

Written homework is assigned weekly at the bottom of this webpage. Homework is due in class on Monday. Erasures and crossouts on homework papers are acceptable, however it must be possible to follow the argument without difficulty. Please write your answers in complete sentences. In the case of proofs the logic of the argument must be completely clear for full credit.

Collaboration on homework:

Students are encouraged to work together on problem sets. However each person must write up his or her own work. Copying is not allowed. The writeup must represent the personal understanding of the individual who wrote it.

Exams:

Midterm Exam(s): Date(s) to be announced

Final Exam: Friday, December 12, 2 pm until 5 pm in the classroom.

Grading:

Midterm exam(s) + Homework + Final.

Missed work:

Unexcused missed quizzes and exams may not be made up. For the following situations, Dean's excuse or an incapacitating short-term illness , please see the indicated web-page for the procedures that must be followed.

Absences for religious holidays:

If you will be missing class or unable to complete work on time due to a religious holiday, please fill out a Religious Observance Notification Form at the religious holiday website by Wednesday, September 10.

Absences to represent the university:

If you are a varsity athlete or are otherwise representing the university in an official capacity, you must provide your instructor with an official schedule of away games or similar events, signed by your coach. You must discuss all impending absences with your instructor at least two weeks prior to the planned absence.

Ethics:

Students are expected to adhere to the Duke Community Standard.

Calculator policy:

Calculators may not be used on exams.

Homework:

Assignments are provisional and subject to change until one week before the due date.

Due Monday, September 1

Read sections 2.1-2.3 in Artin

Please work exercises

Section 2.1 2,3,9,10;

Section 2.2 1,3,8,9,10,11;

Section 2.3 1,2,3,4

Due Monday, September 8

Read sections 2.4, 1.4, 2.5 in Artin

Please work exercises

Section 2.2 13, 14, 16a

Section 2.4 4, 5, 8a, 9

Section 1.4 1, 6 (i maps to n+1-i)

Section 2.5 3, 4, 5, 6, 7, 9

Due Monday, September 15

Read sections 2.6, 2.7, 2.8 in Artin

Please work exercises

Section 2.6 1, 2, 3, 8, 10, 12

Section 2.7 1, 5, 8, 9

Section 2.8 1, 2, 4, 10

Due Monday, September 22

Read sections 2.9 and 3.2 in Artin.

Please work exercises

Section 2.9 2, 4, 5, 8 (Consider Proposition 8.4.)

Section 3.2 8, 10, 13

Handout on Error Detecting Codes: All problems except 1(vi)-(vii).

Handout on Error Correcting Codes. 1, 2, 8, 9abc, 11, 16, 17, 24

Due Monday, September 29

Read sections 2.10, 4.5, and 5.1 in Artin

Please work exercises

Section 2.10 1, 4, 5, 9, 10

Section 4.5 1, 4, 5, 7

Section 5.1 1, 3

Handout with 16 plane figures. Determine the group of symmetries

of each figure.

Due Monday, October 6

Read sections 5.2, 5.3, and begin section 5.4 in Artin

Please work exercises

Section 2.10 3, 11

Section 5.2 3, 4, 5, 7, 11, 12

Section 5.3 1, 2, 3, 4

Due Wednesday, October 15

Finish reading section 5.4 in Artin and read sections 5.5 and 5.6.

Please work exercises

Section 5.4 4, 9, 10, 12, 13, 14(first four patterns only)

Section 5.5 1, 3, 4, 5, 6(first two patterns only)

Section 5.6 1

Exercises on the dihedral group D_4.

Midterm Exam

On Monday October 20

we will have an in class, closed book midterm exam.

It will cover chapter 2, and sections 1.4, 4.5, 5.1-5.6.

Due Wednesday, October 22

Please read sections 5.7, 5.8, 5.9 in Artin.

Please work exercises

5.6 4, 5

5.7 2

5.8 5

Due Monday, October 27

Please read section 6.1 in Artin

Please work exercises

5.9 5, 6a

6.1 1, 2, 3, 5, 6, 14

Due Monday, November 3

Please read section 6.2 and 6.6 in Artin

We will not cover section 6.8 in Artin, except for Proposition 8.4 on page 221.

Please read the statement and proof of this proposition.

Please work exercises

Handout on commutator subgroups and finite subgroups of O_3: 1, 2

5.8 2, 3

6.6 2, 3, 4, 5, 6

6.8 7, 9a

Due Monday, November 10

Please read sections 6.3 - 6.5 in Artin

Please work exercises

6.3 1

6.4 1, 2, 5, 16, 17

6.5 3, 4

Due Monday, November 17

Please read section 9.1 in Artin

Please read section 7.4 in Artin

Please review complex numbers as needed

(eg. read the handout and ask me questions).

Sections 7.1-7.3 provide a review of inner products (bilinear forms)

from linear algebra. If one senses a need to review

this topic, then a look at these sections omitting

the last part of 7.2 beginning with 7.2.11 is an option,

but probably you will be able to tackle the material

on Hermitian forms without reviewing bilinear forms.

Please work exercises

9.1 1, 2, 5ab, 8, 9

7.4 4, 5, 6, 10

Handout on commutator subgroups and finite subgroups of O_3: 9.

Due Monday, November 24

Please read sections 9.2, 9.4, 9.5, 9.8 in Artin

Please work exercises

9.2 4, 5

9.4 2, 4,

9.5 2

Handout on the representation theory of D_4: 1-9.