I'm thinking general line-management skills - appraisals, coaching, resolving problems, the sort of stuff people do when they have staff. And that's both methodology and things like tone, language and posture. I think there's also an argument for being taught the basics of giving clear, precise, persuasive talks for when you've got to convince someone higher up of an option.
Oh, and networking. Pain in the backside, but apparently you can't get anywhere without it.
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"Be uncomfortable; be sand, not oil, in the machinery of this world." - Günter Eich (1907-1972)