Question Responses, Due November 25

• What have you learned in this course?

Goodness, what haven't I learned?? I have learned a lot of mathematical notation, logic, and a lot about how mathematicians are able to say the things they do. Things that I once considered trivial, like whether an integer was even, I can now prove in a heartbeat! I have learned how to prove things in a logical and complete sense, and how to prove things that I didn't actually believe were true. (I still can't believe there's only one prime number that's one less than a cube!) I learned a lot about what functions really are, which is pretty cool considering I've been using them now for four years; it's about time I learned what one is! This has also been my first exposure to number theory, which is way interesting and exciting.

• How might these things be useful to you in the future?

Being a math major, I honestly don't know how you would progress without this class. I really did feel like it was an excellent transition into a higher level of mathematics, and now as I take Math 113 and up, I will definitely be able to look at it in a more comprehensive and enlightened way.