FIZ353

FIZ353 - Numerical Analysis Lecture Notes

Repository for the “FIZ353 - Numerical Analysis” course’s lecture notes, as tutored by Dr. Emre S. Tasci during the 2020-2021 Fall term.

The course has been conducted using the Python language.

The notes have been prepared via Jupyter-notebeook, and in addition to the ipynb format, html version is also available.

You can reach the source files at https://github.com/emresururi/FIZ353/, and the processed HTML files are available via https://emresururi.github.io/FIZ353/.

Lecture#	Topic
1	Importing, parsing, processing and exporting datasets (Pandas module)
2	Visualization of datasets (Seaborn module)
3	Least Squares Error Method & Crash Course in Optimization
4	Matrix Operations & Linear Algebra
5	Matrix Decompositions
6(a)	PCA for Coupled Harmonic Oscillators (3 Springs, 2 Bodies)
6(b)	PCA for Dimensionality Reduction (3 Cameras, 1 Oscillator)
6(c)	PCA for Dimensionality Reduction, with noise (3 Cameras, 1 Oscillator)
7	Fourier Analysis (Introduction)
8	Drawing From A Given Distribution
9	Regression
10	Interpolation
11	Finite Difference Method & ODEs
–	Compressed Sensing(In progress)

In addition to many ethical reasons, usage without proper referencing is also against the imposed licence (GPL) and therefore legally prohibited.