Home | UCI Mathematics
Math 121B Suggested Syllabi
(based on 29 lectures)
Text: Linear algebra, Friedberg, Insel, and Spence, 4th edition
|Lecture |Section |Topic |
|1 |5.4 |Invariant subspaces and Caley-Hamilton Theore |
|2 |5.4 |Complete 5.4 |
|3 |6.1 |Inner product and norm |
|4 |6.1 |Complete 6.1 |
|5 |6.2 |Gram-Schmidt process and orthonormal basis |
|6 |6.2, 6.3 |Complete 6.2, start 6.3 |
|7 |6.3 |Adjoint of a linear operator |
|8 |6.3 |Complete 6.3 |
|9 |6.4 |Normal and self-adjoint operator |
|10 |6.4 |Continue 6.4 |
|11 |6.4, 6.5 |Complete 6.4, start 6.5 |
|12 |6.5 |Unitary and Orthogonal operators |
|13 |6.5 |Complete 6.5 |
|14 | |Review |
|15 | |Midterm |
|16 |6.6 |Orthogonal Projections and the Spectral Theorem |
|17 |6.6 |Complete 6.6 |
|18 |6.8 |Quadratic forms |
|19 |6.8 |Complete 6.8 |
|20 |6.11 |Geometry of orthogonal operators |
|21 |6.11 |Complete 6.11 |
|22 |7.1 |Joran Canonical form I |
|23 |7.1, 7.2 |Complete 7.1, start 7.2 |
|24 |7.2 |Jordan Canonical form II |
|25 |7.2 |Complete 7.2 |
|26 |7.3 |Minimal polynomial |
|27 | |Application to linear systems of ODE |
|28 | |Review |
|29 | |Review |
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