University of Dayton: Tough Math Classes?

Has anyone here taken or know of the hardest college math class at the University of Dayton? I love challenges and I'm considering majoring in Math, so I'd like to know what I could potentially be getting myself into.

Many students find that upper-level math courses are the most challenging, but they also provide the most opportunity for growth and understanding in the field. In particular, the University of Dayton students often find Abstract Algebra and Real Analysis to be demanding. These classes deal with heavy theory and require a deep understanding of mathematical principles.

Abstract Algebra, for example, covers topics such as groups, rings, and fields. This class introduces how set theory, logic, and proof techniques lay the foundation for many areas of mathematics. It's not just calculations; there's a significant amount of critical thinking and proving theorems involved.

Real Analysis, on the other hand, moves deeper into calculus. You'll focus on real numbers and real-valued sequences and functions. This course details the rigorous underpinnings of Calculus, diving into limits, continuity, series, and sequences.

Remember, these are generally third- to fourth-year college level courses, so you would already have a few years of college math under your belt before taking them on. Regardless, if you love mathematics and are excited about a challenge, these could be some courses you'd want to consider. They are tough but also very rewarding. And they might offer a rigorous and thrilling exploration into the depths of mathematics at the University of Dayton.