Schedule
Note: The schedule is subject to change. Check back for changes and updates. The page numbers are approximate.
| Date | Topics | Homework Due | Related Materials | |
|---|---|---|---|---|
| L1 | Sept 10 (R) | Course introduction Four special matrices Two ways of multiplying matrices |
||
| L2 | Sept 15 (T) | Differential & difference equations Review of linear algebra Solving linear systems |
||
| L3 | Sept 17 (R) | Delta function | PSET 1 | Solutions PSET 1 |
| L4 | Sept 22 (T) | Eigenvalues & eigenvectors (I) | ||
| L5 | Sept 24 (R) | Eigenvalues & eigenvectors (II) Positive definite matrices |
||
| L6 | Sept 29 (T) | Spring & masses Oscillation (I) |
||
| L7 | Oct 1 (R) | Oscillation (II) Least squares |
PSET 2 | Solutions PSET 2 |
| L8 | Oct 6 (T) | Graphs & networks Kirchoff's current law (I) |
||
| EXAM 1 | Oct 8 (R) | Up to Springs and Masses (Included) | EXAM 1 | Solutions EXAM 1 |
| No class | Oct 13 (T) | |||
| L9 | Oct 15 (R) | Kirchoff's current law (II) Trusses (I) |
PSET 3 | Solutions PSET 3 |
| L10 | Oct 20 (T) | Trusses (II) | ||
| L11 | Oct 22 (R) | Finite elements in 1D (I) | ||
| L12 | Oct 27 (T) | Finite elements in 1D (II) Quadratic & cubic elements |
||
| L13 | Oct 29 (R) | Element matrices 4th-order bending equations Boundary conditions Splines |
PSET 4 | Solutions PSET 4 |
| L14 | Nov 3 (T) | Gradients & divergence Laplace's equation (I) |
||
| EXAM 2 | Nov 5 (R) | Topics (TBA) | EXAM 2 | Solutions EXAM 2 |
| L15 | Nov 10 (T) | Laplace's equation (II) | ||
| L16 | Nov 12 (R) | Laplace's equation (III) Fast Poisson solver (I) |
||
| L17 | Nov 17 (T) | Fast Poisson solver (II) | ||
| L18 | Nov 19 (R) | Finite Elements in 2D Fourier series (I) |
PSET 5 | Solutions PSET 5 |
| L19 | Nov 24 (T) | Fourier series (II) | ||
| No class | Nov 26 (R) | Happy Thanksgiving Day! | ||
| L20 | Dec 1 (T) | Discrete Fourier series | ||
| EXAM 3 | Dec 3 (R) | Topics (TBA) | EXAM 3 | Solutions EXAM 3 |
| L21 | Dec 8 (T) | Fast Fourier Transform Convolution (I) |
||
| L22 | Dec 10 (R) | Convolution (II) |