Section 6.3: 1,
2, 5, 7, 8, 11, 13, 14, 18, 19
Assignment 4: Due Friday, May 4 (in class)
Section 6.3:
10a, 15, 21, 23, 24, 26
Section 6.4: 1, 2, 4
Section 6.4: 1, 2, 4
Assignment 5: Due Friday, May 11 (in class)
Section 6.4: 11,
15, 16
Section 7.1: 8(a,b), 9
PLUS the problems found on this
handout
Assignment 6: Due Friday, May 18 (in class)
Section 7.1: 4,
5, 6, 14(a,b), 15, 19
PLUS the problems found on this handout
PLUS the problems found on this handout
Assignment 7: Due Friday, May 25 (in class)
Section 7.3: 1, 9, 10(a,c), 11, 14, 15
Section 7.2: 2, 7(a,b), 8(a,b)
Also from Section 7.3: 2, 4, 6
Section 7.2: 2, 7(a,b), 8(a,b)
Also from Section 7.3: 2, 4, 6
Assignment 8: Due Friday, June 1 (in class)
Section 7.2: 8(c,d)
Section 7.3: 7
Section 7.6: 1(a,c,d), 4, 12(a,b,c)
Section 7.3: 7
Section 7.6: 1(a,c,d), 4, 12(a,b,c)
Tentative Lecture Schedule
(subject to change)
Week 1: Section 5.3 (finite fields), Section 6.1 (definition and first examples of groups)
Week 2: Section 6.1 (introduction to groups and subgroups), Section 6.2 (group homomorphisms)
Week 3: Section 6.2 (kernel, isomorphism), Section 6.3 (cosets, Lagrange's Theorem)
Week 4: Q&A (Monday), Midterm 1 (Wednesday), Section 6.3 (normality and quotient groups)
Week 5: Section 6.3 (contd), Section 6.4 (symmetric group)
Week 6: Section 6.4 (15-puzzle), Section 7.1 (group actions, orbits and stabilizers)
Week 7: Section 7.1 (more with orbits and stabilizers), Cayley graphs, Q&A (Friday)
Week 8: Midterm 2 (Monday), Section 7.3 (Burnside's Theorem)
Week 9: Section 7.2 (symmetry groups of the Platonic solids), Section 7.4 (Regular polyhedra), Section 7.6 (Galois Theory)
Week 10: Memorial Day (Monday), Finish up Galois Theory, Q&A (Friday)
Finals Week: Final Exam (Wednesday) Final Exam Information Sheet