Weeks | Topics | Sections | ||
1 | Charactersitic polynomials, eigenvalues | 6.2, 6.3 | ||
2 | Simultaneous diagonalization, decompositions | 6.4 - 6.6 | ||
3 | The primary decomposition theorem | 6.7, 6.8 | ||
4 | Annihilators | 7.1, 7.2 | ||
5 | The Rational and Jordan forms | 7.2-7.4 | ||
6 | Semi-simple operators, review | 7.5 + R | ||
7 | Inner product spaces | 8.1, 8.2 | ||
8 | Linear functionals, unitary operators | 8.3, 8.4 | ||
9 | Normal operators, review | 8.5 + R | ||
10 | Forms on inner product spaces, positive forms | 9.1 - 9.3 | ||
11 | Spectral theory | 9.4, 9.5 | ||
12 | More on normal operators, review | 9.6 + R | ||
13 | Bilinear forms | 10.1, 10.2 | ||
14 | Groups preserving bilinear forms | 10.3, 10.4 | ||
R means review of the last chapter if time permits. | ||||
Last updated on 5 May 2003.