This schedule is correct for the current week, but approximate for later dates.

Wednesday, 8/31 Intro to the course, discussion of syllabus, review of Math 243 (Chapter 0)
Friday, 9/2 Review (Chapter 0), Symmetries (Chapter 1)
Read: Chapters 0 and 1. Chapter 0 is intended mostly to be a refresher, so you can it read it fairly quickly, making sure that the main topics ring a bell: Euclid's Lemma, modular arithmetic, equivalence relations, and the material on functions. In Chapter 1, make sure you understand the example of the symmetries of the square.
Monday, 9/5 More on Symmetries (Chapter 1), Definition and Examples of Groups (Chapter 2).
Read: Chapter 1 (if you didn't finish before), and Chapter 2, p. 40-48.
Wednesday, 9/7 Examples of Groups (Chapter 2)
HW #1 due: Chapter 0, #3, 14, 22, 30. Chapter 1, #2, 6, 16, 22.
Friday, 9/9 Properties of Groups (Chapter 2), Finite Groups and Subgroups (Chapter 3)
Read: Chapter 2,
Monday, 9/12 Subgroups (Chapter 3)
Wednesday, 9/14 Subgroups (Chapter 3)
HW #2 due: Chapter 2, #8, 9 (Hint: one approach is to use the Corollary to Theorem 0.2 on p.5), 16, 18, 26, 29. Chapter 3, #10, 13, 16, 18.
Friday, 9/16 Cyclic Groups (Chapter 4)
Read: Chapter 4, p.72-77
Monday, 9/19 Cyclic Groups (Chapter 4)
Read: Chapter 4, p.77-81
Wednesday, 9/21 Cyclic Groups (Chapter 4)
HW #3 due:
Chapter 2, Computer exercise #2 (click here for the relevant software).
Chapter 3, #26, 29, 36, 52.
Chapter 4, #8, 10, 22, 35, 42, Computer Exercise #1.
Friday, 9/23 Finish up Cyclic Groups (Chapter 4), start Permutation Groups (Chapter 5)
Read: Chapter 5, p. 95-102
Monday, 9/26 Permutation Groups (Chapter 5)
Read: Chapter 5, p. 103-113
Wednesday, 9/28 Permutation Groups (Chapter 5)
HW #4 due: Chapter 4, #16, 29, 35, 52, 62, 64. Supplementary exercises to Chapters 1-4 (p. 91-92) #1, 5, 34. Chapter 5, #2.
Friday, 9/30 Permutation Groups (Chapter 5)
Monday, 10/3 Permutation Groups (Chapter 5), begin Isomorphisms (Chapter 6)
Wednesday, 10/5 Isomorphisms (Chapter 6)
HW #5 due: First show that the order of an n-cycle is n. Then Chapter 5, #4, 6, 18, 26, 30, 31, 37, 52, 59.
Friday, 10/7 Isomorphisms (Chapter 6)
Monday, 10/10 No class -- Fall break
Wednesday, 10/12 No class -- Fall break
Friday, 10/14 No class -- Fall break
Monday, 10/17 Automorphisms (Chapter 6).
Read: pp. 129-133, 138-141.
Wednesday, 10/19 Cosets (Chapter 7)
Read: pp. 141-144
HW #6 due: Chapter 6, #8, 10, 22, 24, 32, 38, 39, 42
Friday, 10/21 Lagrange's Theorem (Chapter 7)
Monday, 10/24 Applications of Cosets (Chapter 7)
Wednesday, 10/26 Midterm 1
Friday, 10/28 Final remarks on cosets (Ch. 7). External Direct Products (Chapter 8).
Read: pp. 155-157
Monday, 10/31 External Direct Products (Chapter 8). Normal Subgroups and Factor Groups (Chapter 9)
Read: pp. 158-159, 178-179
Wednesday, 11/2 Normal Subgroups and Factor Groups (Chapter 9)
Read: pp. 180-185
HW #7 due: Chapter 7, #7, 14, 20, 24, 26, 40. Chapter 8, #5, 9, 29, 32.
Friday, 11/4 Factor Groups (Chapter 9)
Read: pp. 180-183
First draft of adopt-a-group assignment due.
Monday, 11/7 Factor Groups and Applications (Chapter 9)
Read: pp. 183-187
Wednesday, 11/9 Factor Groups and Applications (Chapter 9)
Read: pp. 187-192
HW #8 due: Chapter 9, #4, 7, 10, 11, 14, 24, 48.
Friday, 11/11 More applications of factor groups (Chapter 9), Group Homomorphisms (Chapter 10)
Read: pp. 200-203
Monday, 11/14 Group Homomorphisms (Chapter 10).
Read: pp. 204-207.
Wednesday, 11/16 Group Homomorphisms (Chapter 10).
Read: pp. 208-211.
HW #9 due: Chapter 9, #27, 31, 34, 50, 65. Chapter 10, #2, 10. .
Friday, 11/18 Group Homomorphisms (Chapter 10).
Monday, 11/21 Finite Abelian Groups (Chapter 11).
Read: statement and consequences of the fundamental theorem of finite abelian groups (you don't need to read the proof).
Wednesday, 11/23 No Class -- Thanksgiving
Friday, 11/25 No Class -- Thanksgiving
Monday, 11/28 Finite Abelian Groups (Chapter 11)
Wednesday, 11/30 Midterm 2
Friday, 12/2 Finite Abelian Groups (Chapter 11), Introduction to the Sylow Theorems (Chapter 24)
Read: Chapter 24, pp. 403-405.
Monday, 12/5 Sylow Theorems (Chapter 24)
Read: Chapter 24, pp. 406-410.
Wednesday, 12/7 Sylow Theorems (Chapter 24).
You are encouraged to hand in HW #10 today, though you may also hand it in on Friday.
HW #10: Chapter 10, #18, 30. Chapter 11, #10, 28. Chapter 24, #16, 18, 32 (Hint: Let N be the normal subgroup and consider a Sylow subgroup of G/N. Then use a part of Theorem 10.2.)
Friday, 12/9 More Sylow Theorems, course wrap-up.
Final Exam: Wednesday, 12/14, 11:30-2:00 in usual classroom