Interesting that they call this “Mathematics for Computer Science”. In my university it was simply computer science and programming was computer engineering.
In the US, at least, computer engineering != programming. Computer engineering is more commonly (when you look at the courses) electrical engineering with a digital logic focus with some additional programming courses (often the first 2-4 CS courses). Programming falls squarely within computer science.
Same in Australia
Sometimes business-y programming falls into Software Engineering or Management Information Systems but programming around operating systems, compilers, databases, graphics, etc. is squarely within CS.