Math 200, Fall 2008
Course Information
 Meeting Time:
 The course meets Monday, Wednesday, Friday 3:053:55pm 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
 6602813
 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 shortterm illness , please see the indicated webpage 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 2.12.3 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+1i)
 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, 5.15.6.
 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 7.17.3 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: 19.
