If you are interested in learning computational physics and scientific computing with python, then I hope you will find this repository helpful ^_ ^

Table of contents

0. Taylor Series

1. Interpolation

2. Derivatives
   A. First derivative (Forward, Backward, Central, and Richardson methods)
   B. Second derivative (Double forward, Double Backward, Double Central, and Richardson methods)
   

3. Calculating velocity and accleration

4. Partial Derivatives
   A. Gradient
   B. Divergence and Curl
   

5. integration
   A. Riemann sum
   B. Trapezoidal sum
   C. Simpson's rule
   

6. Rotational Motion

7. Magnetic Field

8. Fourier Transform

9. Differential Equations
   A. Methods:
   - Implementing Euler method
   - Implementing RK4
   - Implementing RK45
   - Using Scipy
   B. Examples:
   - Radioactive decay
   - Free fall
   - pendulum motion
   

10. Ball In A Bowl

11. Lorenz System

12. Solving The Heat Equation

13. 3-Body Problem

14. Spaceship And 4-Body Problem

15. Coupled Oscillators (Eigenvalue Problem)

16. Calculating Pi using Monte Carlo Algorithm

17. Simulating A Magnet Using Monte Carlo Algorithm

18. Solving Schrodinger Equation

Learning Resources:

1. My main source: https://www.udemy.com/course/computational-physics/ (Definitely recommended)
2. https://www.youtube.com/c/MrPSolver ( Although I watched only couple of videos for him, I liked his content and Explanations)