Schedule

I've worked with engineers and engineering managers that seem to believe schedule is not one of their responsibilities.  Actually, many seem to believe their responsibilities are strictly "technical", and that cost and schedule are either beneath them, or someone else's problem.  That's not what I was taught in school.  I was taught that cost and schedule were part of the design problem.  And that as engineers, our job is to solve problems.  The complete problem, not just the "technical" or "interesting" parts.

Was my school unique?  What were you taught, and what has been your experience in the industry?  Should engineers manage their own cost and schedule, or leave that up to someone else?