<p>These questions are all highly dependent on not only the university that you attend, but also the professor teaching the course. Generally, taking honors doesn’t really gain you anything in terms of career and very little in terms of graduate school. The value lies in personal enrichment in that you would presumably have a deeper understanding of the underlying math in future classes, especially if you end up in graduate school where math deficiency is probably the number 1 killer of students.</p>
<p>Of course, whether or not the course is designed in a way such that it is actually useful for you depends on the professor. I can say that I took honors classes for the calculus sequence when I was an undergraduate and the guy who did it did an amazing job and I would do it again in a heartbeat. Your mileage may vary though.</p>