SE is a project management discipline. CS is a logic/math discipline.
SE gets you to think about what the customer needs, what sort of performance or regulatory constraints may be in the loop, how you can design for teams and the future, etc (i.e., do you need a pencil or a pen, and how the factory is set up to make that happen at the rate and in the time required by the customer).
CS is about algorithms and logic, performance optimization, etc. It's the step where you build the machine that cuts the pencil blank, puts the graphite in, adds an eraser... and the conveyers/etc. that transfer the bits to the appropriate place for them to be useful.
SE gets you to think about what the customer needs, what sort of performance or regulatory constraints may be in the loop, how you can design for teams and the future, etc (i.e., do you need a pencil or a pen, and how the factory is set up to make that happen at the rate and in the time required by the customer).
CS is about algorithms and logic, performance optimization, etc. It's the step where you build the machine that cuts the pencil blank, puts the graphite in, adds an eraser... and the conveyers/etc. that transfer the bits to the appropriate place for them to be useful.