-Experience... (subject line wouldn't let me type the whole thing...)
I'm now at the wane of my career, and here's how math went for me:
- B.S. CIS (in the business college, three math courses; in the advanced course, if you could identify the integral sign, you got a B. Oh, and a stats course, more on that later)
- M.S. CS (curiously, you don't need the advanced math as a prereq to a lot of master's CS programs. Took a discrete math course, which IMHO is the only directly relevant math to the concepts that comprise CS)
- DCS (Doctor of Computer Science, but we did the dissertation thing. No math per se, but my diss chair had me go chase the second differential as a possible test for my hypothetical correlation, but it didn't work that way. I think he just did that to be funny)
My computer career has had a healthy dose of software development and management, and until recently my calculus deficiency wasn't a hinderance. However, statistics have been pervasive in all my jobs, either directly in the code or indirectly in testing or management. My last string of positions have been in the domain of missile defense, and this is where I had to go dig out the old texts to figure out such things as Taylor series and RK4 integration - knowing ballistic trajectories is all about this topic. And again, stats pervades.
So, based on direct experience (three degrees, four 'math' courses, and a varied string of jobs), I'd say 'It Depends.' There are a lot of things to do out there, and I know you can make a decent career in computer science without running the undergrad math gauntlet. However, there are certain domains where it is used; if you want to go there, you need to be able to 'speak snake'. And, as much as I hate to say it, familiarity with the ways of statistics is useful in most any place, if for nothing else than to be able to tell people who put up graphs of amorphous point clouds with a line running through them who say, 'and it's evident there's good correlation' that they're full of liquid shit without the proper statistical test.