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

TopicItems
Matrix operationsEigenvectors and eigenvalues, determinant for 3x3 matrix, Singular Value Decomposition (SVD)
Principal Component Analysis (PCA)Variance, covariance
Interpolation I and IIPolynomial interpolation, 3-point and 4-point examples
FourierFourier series, formulas, Fourier transform
MLELikelihood, Gaussian distribution, Poisson distribution, full process under the hood
Bayesian updateOld / updated mean, old / updated variance, measurement, measurement noise
OptimizationOptimization techniques

Resources

The links I actually used, pulled straight off the canvas. One row per video.

TopicResource
Lagrange InterpolationGo to link
Sayısal AnalizGo to link
Sayısal Analiz: KübikGo to link
Sayısal Analiz: KübikGo to link
Sayısal Analiz: KübikGo to link

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