| 1 |
Four special matrices |
| R1 |
Recitation 1 |
| 2 |
Differential eqns and Difference eqns |
| 3 |
Solving a linear system |
| 4 |
Delta function day! |
| R2 |
Recitation 2 |
| 5 |
Eigenvalues (part 1) |
| 6 |
Eigenvalues (part 2); positive definite (part 1) |
| 7 |
Positive definite day! |
| R3 |
Recitation 3 |
| 8 |
Springs and masses; the main framework |
| 9 |
Oscillation |
| R4 |
Recitation 4 |
| 10 |
Finite differences in time; least squares (part 1) |
| 11 |
Least squares (part 2) |
| 12 |
Graphs and networks |
| R5 |
Recitation 5 |
| 13 |
Kirchhoff's Current Law |
| 14 |
Exam Review |
| R6 |
Recitation 6 |
| 15 |
Trusses and ATCA |
| 16 |
Trusses (part 2) |
| 17 |
Finite elements in 1D (part 1) |
| R7 |
Recitation 7 |
| 18 |
Finite elements in 1D (part 2) |
| 19 |
Quadratic/cubic elements |
| 20 |
Element matrices; 4th order bending equations |
| R8 |
Recitation 8 |
| 21 |
Boundary conditions, splines, gradient and divergence (part 1) |
| 22 |
Gradient and divergence (part 2) |
| 23 |
Laplace's equation (part 1) |
| R9 |
Recitation 9 |
| 24 |
Laplace's equation (part 2) |
| 25 |
Fast Poisson solver (part 1) |
| 26 |
Fast Poisson solver (part 2); finite elements in 2D (part 1) |
| R10 |
Recitation 10 |
| 27 |
Finite elements in 2D (part 2) |
| 28 |
Fourier series (part 1) |
| R11 |
Recitation 11 |
| 29 |
Fourier series (part 2) |
| 30 |
Discrete Fourier series |
| 31 |
Examples of discrete Fourier transform; fast Fourier transform; convolution (part 1) |
| R12 |
Recitation 12 |
| 32 |
Convolution (part 2); filtering |
| 33 |
Filters; Fourier integral transform (part 1) |
| 34 |
Fourier integral transform (part 2) |
| R13 |
Recitation 13 |
| 35 |
Convolution equations: deconvolution; convolution in 2D |
| 36 |
Sampling Theorem |