| SES # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Groups, matrices, permutations | Problem set 1 out |
| 2 | Subgroups, cyclic groups | |
| 3 | Isomorphisms | |
| 4 | Homomorphisms | Problem set 1 due Problem set 2 out |
| 5 | Cosets | |
| 6 | Quotient groups | |
| 7 | Modular arithmetic, fields | Problem set 2 due Problem set 3 out |
| 8 | Fields | |
| 9 | Vector spaces, bases, dimension | Problem set 3 due Problem set 4 out |
| 10 | Computation with bases | |
| 11 | The dimension formula | |
| 12 | First quiz | Problem set 4 due |
| 13 | Linear operators, Eigen vectors | Problem set 5 out |
| 14 | The characteristic polynomial | |
| 15 | Rotations | Problem set 5 due Problem set 6 out |
| 16 | Isometries | |
| 17 | Isometries of the plane | |
| 18 | Finite groups of isometries | Problem set 6 due Problem set 7 out |
| 19 | Discrete groups | |
| 20 | Discrete groups (cont.) | |
| 21 | Group operations | Problem set 7 due Problem set 8 out |
| 22 | Finite rotation groups | |
| 23 | The class equation | |
| 24 | Permutation representations | Problem set 8 due Problem set 9 out |
| 25 | The alternating group | |
| 26 | Second quiz | |
| 27 | Bilinear forms | |
| 28 | Symmetric forms | Problem set 9 due Problem set 10 out |
| 29 | Hermitian forms | |
| 30 | The spectral theorem | |
| 31 | Quadrics | Problem set 10 due |
| 32 | The special unitary group SU2 | |
| 33 | The rotation group | |
| 34 | One-parameter groups | Problem set 11 out |
| 35 | One-parameter groups (cont.) | |
| 36 | Third quiz | |
| 37 | The lie algebra | |
| 38 | Dimensions of the linear groups | |
| 39 | Simple groups | Problem set 11 due |