I had a whole course just about how computers do maths. Matrix multiplication, linear fit, finding eigenvectors, multiplication and division, square root, solving linear systems, numerically calculating differential equations, spline interpolation, FEM analysis.

"Computers are good at maths" is normally a pretty obvious statement... but many things we take for granted from analytical mathematics, is quite difficult to actually implement in a computer. So there is a mountain of clever algorithms hiding behind some of the seemingly most obvious library operations.

One of the best courses I've ever had.