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