This class was tough.
Course Overview:
I would recommend this course to any student interested in mathematical analysis or getting a minor in math. Foundations of Analysis 2 builds upon student's previous knowledge of the world of pure mathematics. This course is not just about computing integrals and taking derivatives, but developing a student's ability to rigorously prove the concepts they have learned in previous calculus courses. Knowing how to explain why mathematics works becomes relevant.
Course highlights:
I learned a great deal of definitions which become extremely important in this class. In order to prove something using logical equivalence you have to a solid foundation of definitions (know what you're standing on). I think the highlight was being able to prove something and also knowing why the proof is correct. This is a thinking class, not a computing class.
Hours per week:
12+ hours
Advice for students:
For this course, I feel it is important to go to class every day and make sure you take advantage of office hours. Please read the book! I know the material takes awhile to understand so if you find yourself reading the same page (paragraph...sentence...or even word!) multiple times, you are not alone. Analysis is very difficult, which seems to be the popular opinion, so make sure you work hard.