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  
31 Quadrics  
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

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