# Calendar

SES # TOPICS KEY DATES
1 The general linear group GLn, groups, generators Problem set 1 out
2 The symmetric group Sn, subgroups
3 Subgroups of Z+, cyclic groups
4 Homomorphisms and isomorphisms

Problem set 1 due

Problem set 2 out

5 Cosets
6 The correspondence theorem
7 Product groups, quotient groups

Problem set 2 due

Problem set 3 out

8 Fields
9 Vector spaces, bases, dimension
10 Computation with bases

Problem set 3 due

Problem set 4 out

11 The dimension formula
12 Linear operators, eigenvectors
13 First quiz
14 The characteristic polynomial

Problem set 4 due

Problem set 5 out

15 Jordan form
16 Rotations

Problem set 5 due

Problem set 6 out

17 Isometries
18 Finite groups of isometries
19 Discrete groups of isometries

Problem set 6 due

Problem set 7 out

20 Discrete groups of isometries (cont.)
21 Group operations
22 Finite rotation groups

Problem set 7 due

Problem set 8 out

23 The class equation
24 Second quiz
25 The icosahedral group
26 The symmetric and alternating groups

Problem set 8 due

Problem set 9 out

27 Symmetric and hermitian forms
28 Orthogonality
29 The projection formula

Problem set 9 due

Problem set 10 out

30 The spectral theorem
32 The special unitary group SU2

Problem set 10 due

Problem set 11 out

33 The rotation group SO3
34 One-parameter groups
35 One-parameter groups (cont.)
36 Third quiz
37 The lie algebra
38 Simple groups Problem set 11 due