I don't think that math is universally necessary - it's actually rare that I need to sit down and write equations and think about something mathematically. (Unless I'm a genius who does it in his head, and trust me, I'm not.)
And a 25-hour-a-week job doesn't seem that overwhelming. I think I worked 20 hours a week with a 30 minute commute each way - unless you're having a truly difficult time with the core concepts, a 15 hour course load and a 25 hour work load isn't much harder than starting any new job.
That isn't considered "tough math" though. Surely basic math is needed but most developers won't actually use high level math (except to get the degree).
That wouldn't be a very good argument.
Basic math gets better by doing a lot of basic math.
Your trigonometry will not improve by learning topology. I had more than one math prof who could not seem to balance a checkbook.
And a 25-hour-a-week job doesn't seem that overwhelming. I think I worked 20 hours a week with a 30 minute commute each way - unless you're having a truly difficult time with the core concepts, a 15 hour course load and a 25 hour work load isn't much harder than starting any new job.