Welcome to Wasin So's MATH 129B Page
Title
| Linear Algebra II |
Objective
| To familiarize students with the language of vector spaces and linear maps,
and to lead students to a deeper understanding of the structure of linear
maps on vector spaces. |
Textbook
| Linear Algebra Done Right by Sheldon Axler |
Content
| Linear Algebra is the study of linear maps on finite dimensional vector
spaces. While Linear Algebra I (Math129A) focuses on vectors and matrices.
Linear Algebra II (Math129B) emphases abstract vector spaces and linear
maps. A central goal is to understand the structure of linear maps on vector
spaces, namely the Jordan Decomposition Theorem; and the structure of linear
maps on inner product spaces, namely the Spectral Decomposition Theorem. |
Topics
| Complex Numbers
| Abstract Vector Spaces
| Finite Dimensional Vector Spaces
| Linear Maps
| Eigenvalues and Eigenvectors
| Jordan Decomposition Theorem |
| Inner Product Space |
| Spectral Decomposition Theorem |
| | | | |
Semester Taught and Grade Distribution
Semester |
A |
B |
C |
D |
F |
Fall 2001 |
23.8% |
23.8% |
4.7% |
14.3% |
33.4% |
|