DATE SECTION TOPIC:
### JANUARY ### Mon 11 §5 Groups §§1-4 Through the week as needed Wed 13 §6 Permutations Fri 15 §8 Symmetry
Mon 18
Martin Luther King Holiday - no class meeting
Wed 20 In-class Homework: Symmetry Group of the Square [PostScript] [Acrobat]
Team Assignments
Fri 22 §7 Subgroups: examples
Mon 25 §7 Subgroups: theory First Problem Set Due: [PostScript] [Acrobat] Sample solutions: [PostScript] [Acrobat] Wed 27 §9 Equivalence Relations Fri 29 §10 Congruence, the Division Algorithm
### FEBRUARY ### Mon 1 In-class Homework: Orbits of Permutation Groups [PostScript] [Acrobat] Solutions (except Problem 1) are to be written up and handed in. Wed 3 §11 The Integers mod n Fri 5 §12 Greatest Common Divisor, Euclid's Algorithm
Mon 8 ... continued Second Problem Set Due Wed 10 REVIEW of Groups, Congruence, gcd. [PostScript] [Acrobat] Fri 12 Midterm I: §§ 1-12 1997 Midterm Exam: [PostScript] [Acrobat]
Mon 15 §13 Fundamental Theorem of Arithmetic Wed 17 §14 Elementary Properties of Groups Fri 19 ... continued
Mon 22 In-class Homework: 13.13, 13.14, 14.14, 14.19 New Team Assignments Wed 24 §15 Generators, Direct Products Fri 26 §16 Cosets
### MARCH ### Mon 1 §17 Lagrange's Theorem Wed 3 §18 Isomorphism Third Problem Set Due 14.25, 14.36 15.23, 15.29 16.14 17.16, 17.17 Fri 5 §19 Isomorphism
Mon 8 §20 Cayley's Theorem Wed 10 In-class Homework: 17.26, 18.14, 18.15, 19.25 Fri 12 §30 Complex Roots of Unity pp 142-143 (Review complex arithmetic) Term paper proposals due.
MARCH 15-19 ***SPRING BREAK***
Mon 22 §31 Homomorphisms of Groups. The Kernel. Wed 24 §32 Quotient Groups Fri 26 §33 Fundamental Homomorphism Theorem Fourth Problem Set Due: 20.5, 30.25, 31.15, 31.22, 32.11
Mon 29 REVIEW Groups, subgroups, homomorphisms. [PostScript] [Acrobat] Wed 31 Midterm II: §§ 13-20, 30-33 ### APRIL ### Fri 2 §34 Group Actions
Mon 5 ... continued Wed 7 ... continued! Fri 9 §35 Burnside's Counting Theorem Fifth Problem Set Due: 31.26, 31.27, 33.19 (a), (b), 34.11
Mon 12 §36 Sylow's Theorem Wed 14 ... continued Fri 16 §37 Finite Symmetry Groups In-class Homework 37.22, 37.23, 27.24
Mon 19 §38 Infinite Two-Dimensional Symmetry Groups Wed 21 §40 The Euclidean Group
National TV Turnoff Week April 22-28
Fri 23 ... continued
Mon 26 REVIEW [PostScript] [Acrobat] Parity Sixth Problem Set Due: 36.10, 36.11, 37.20, 38.3 Wed 28 REVIEW Conjugacy in S_n Fri 30 REVIEW Term papers due.
### MAY ### Fri 7 Final Exam 9:45-11:45 a.m. Final Exam from 1996.
