Succeed personally: no. Some dev jobs obviously require a lot of foundational knowledge. I wouldn't want to have a colleague who didn't know linear algebra, simply because that's important in my field. That's not important for making Wordpress sites. I think there are things "every good developer should know" such as knowledge about how cpus work, how OS'es work, how some important algorithms work, some basic set the…
I don't think diplomas nor resumes normally list failed classes ;)