In general; that depends on the school you go to and what your skills are.
In Computer Science you will focus largely on t algorithm design and analysis – as that is what a Computer Scientist (don’t confuse with software engineer) does. They are scientists. They research and develop new algorithms that software & computer engineers will use.
In Computer Engineering you will focus largely on hardware design. You’ll be introduced to application like MultiSim, Xilinx and Vivado which are used in the industry to design computer components (like processors). In general; much of your curriculum will be a hybrid of Electrical Engineering and Computer Science courses.
Mathematics is heavy in both fields, for a Computer Scientist you will work largely with logical proofs, data structures, and graph theory. In Computer Engineering you will work largely with calculus. For instance; Fourier transforms are used extensively when working with Signals & Systems.
In computer science you will most likely learn Java, Python and maybe even some web languages like JavaScript or PHP.