Homework Assignments
Homework assignments will be due each Wednesday.
You should do all the problems listed, but turn in
only the ones marked with *.
| Due Date |
| Secn |
| Problems |
|---|
|
| | Jan 29: |
| 0.1: | | 2, 5*, 6, 8, 10*, 14, 15*
| | | 0.2: | | 3, 4*, 11
| | | 0.3: | | 2*, 6, 16, 18*
| | | 0.4: | | 8, 12, 14*, 17, 26*
| | | 0.5: | | 8, 18*, 20
| |
| | Feb 5: |
| 1.1: | | 5*, 11*, 12, 21*, 27
| | | 1.2: | | 10, 20*, 27*, 28, 29*, 31, 35
| |
| | Feb 12: |
| 1.3: | | 4*, 6, 16, 17, 19*
| | | 1.4: | | 7, 10*, 15, 21*, 35
| | | 2.1: | | 8*, 9, 13*, 20*, 33, 36
| |
| | Feb 19: |
| 2.2: | | 4*, 7, 24*, 25*, 33
| | | 2.3: | | 7*, 16*, 29
| | | 2.4: | | 8*, 25, 27*
| |
| | Feb 26: |
| 2.5: | | 5, 6*, 8*, 9, 17
| | | 3.1: | | 3, 6*, 8*, 13, 14, 18*
| | | 3.2: | | 3, 11*, 15*, 21
| |
| | Mar 5: |
| 3.1: | | 14*, 20
| | | 3.2: | | 21*
| | | 3.3: | | 3, 6*, 19*, 20*
| |
| | Mar 12: |
| 3.4: | | 1, 2, 3, 4*, 5, 6, 7, 9*, 15*
| | | 4.1: | | 10, 15, 16*, 18*
| |
| | Mar 19: |
| 4.2: | | 4, 10*, 11, 12*
| | | 4.3: | | 1, 2*, 3, 4*, 5, 6*
| | | 4.4: | | 5*, 14, 15*, 16, 22*
| |
| | Apr 2: |
| 4.5: | | 4, 5, 6*, 9, 10*, 11*
| | | 14: | | *Let G=S4 be the group
of rotations of a cube. Explain the conjugacy classes
in G geometrically.
| |
| | Apr 9: |
| | | * If G is a subgroup of On and
H is the intersection of G with SOn,
show that the index of H in G is 1 or 2.
| | | | | * Show that every orientation-preserving
isometry of the plane is a product of two reflections.
| |
| | Apr 16: | | | | No homework due.
| |
| | Apr 23: |
| 6.1: | | 2, 5, 11, 13*, 15*, 16
| | | 6.2: | | 2, 5*, 13, 14*
| | | 6.3: | | 3*, 7, 12, 32, 33*
| | | 7.1: | | 8, 9*, 13, 14*, 19*, 22, 23
| |
| | Apr 30: |
| 7.2: | | 16, 21*, 22*, 25, 34, 35
| | | 7.3: | | 2, 10*, 21, 28*, 29
| | | 8.1: | | 2, 6, 9*, 15, 20*
| | | 8.2: | | 1, 3, 5*, 7, 9*, 10
| |
| | May 6: |
| 8.3: | | 1, 2, 3, 4, 5, 6*, 7, 9, 21*
| | | 8.4: | | 1, 4*, 8, 13, 17, 19*, 22, 24, 26, 27
| | | 8.6: | | 1, 6*, 11, 13, 18*, 26
| | | 8.7: | | 1, 4*, 5, 6*, 16, 27, 30, 37
|
|
|