1. Computers
2. Operating Systems
3. Software
4. $\TeX$ and $\LaTeX$
5. Computation
6. Computer Programming
7. Julia
8. Plotting
9. Numbers
10. Random numbers
11. Algorithms–the idea
12. Algorithms–applications
13. Root finding
14. Linear Equations
15. Interpolation and Extrapolation
16. Fitting
17. Integrals
18. Derivatives
19. Ordinary Differential Equations
20. Differential calculus of vector fields
21. Partial Differential Equations
22. Finite elements and finite volumes
23. Fourier and DFT
24. Chaos and fractals
25. Fun problems