Course Schedule
The official textbook for CS 205A is Scientific Computing, by Heath. A great reference on numerical linear algebra for mathematically inclined students is Matrix Computations, by Golub and Van Loan. A classic reference on the conjugate gradient algorithm, thankfully available for free online, is "An Introduction to the Conjugate Gradient Method Without the Agonizing Pain," by Shewchuk.
A set of course notes specific to CS 205A is under construction by the instructor. While he is making every effort to complete the notes as the quarter proceeds, students in CS 205A are still responsible for having the official text on hand! Links to individual chapters as well as the entire set of notes are included below, with a rough status describing how complete they are:
Part | Topic | Status | |
| Entire set | CS 205A |  | Never complete! |
| Chapter 0 | Mathematics Review | | First draft done |
| Chapter 1 | Numerics and Error Analysis | | First draft done |
| Chapter 2 | Linear Systems and LU Decomposition | | First draft done |
| Chapter 3 | Designing and Analyzing Linear Systems | | First draft done |
| Chapter 4 | Column Spaces and QR | | First draft done; iteration of Householder needs adjustment |
| Chapter 5 | Eigenvectors | | First draft done; proof of QR iteration needs adjustment |
| Chapter 6 | Singular Value Decomposition | | First draft done |
| Chapter 7 | Nonlinear Systems of Equations | | First draft done |
| Chapter 8 | Unconstrained Optimization | | First draft done (BFGS proof fixed!) |
| Chapter 9 | Constrained Optimization | | First draft done |
| Chapter 10 | Iterative Linear Solvers | | First draft done |
| Chapter 11 | Interpolation | | First draft done |
| Chapter 12 | Numerical Integration and Differentiation | | First draft done |
| Chapter 13 | Ordinary Differential Equations | | First draft done |
| Chapter 14 | Partial Differential Equations | | First draft done (with placeholders for non-205A material) |