Numerical methods: eigenvectors and SVD, then PCA, interpolation, Fourier, and the probability side (MLE and Bayesian update).
The interpolation videos below are in Turkish, since that is the lecture language for this course.
Drawings
Topics
| Topic | Items |
|---|---|
| Matrix operations | Eigenvectors and eigenvalues, determinant for 3x3 matrix, Singular Value Decomposition (SVD) |
| Principal Component Analysis (PCA) | Variance, covariance |
| Interpolation I and II | Polynomial interpolation, 3-point and 4-point examples |
| Fourier | Fourier series, formulas, Fourier transform |
| MLE | Likelihood, Gaussian distribution, Poisson distribution, full process under the hood |
| Bayesian update | Old / updated mean, old / updated variance, measurement, measurement noise |
| Optimization | Optimization techniques |
Resources
The links I actually used, pulled straight off the canvas. One row per video.
| Topic | Resource |
|---|---|
| Lagrange Interpolation | Go to link |
| Sayısal Analiz | Go to link |
| Sayısal Analiz: Kübik | Go to link |
| Sayısal Analiz: Kübik | Go to link |
| Sayısal Analiz: Kübik | Go to link |