due on December 10

• Which topics and theorems do you think are the most important out of those we have studied?
• Cardinality of sets, schroder-bernstein theorem, division algorithm, greatest common factor, onto and one-to-one, induction, and equivalence relations, and limit proofs with epsilon
• What do you need to work on understanding better before the exam? Come up with a mathematical question you would like to see answered or a problem you would like to see worked out.
• I need to work on the stuff from exam 2 because I didn't do very well on that one. I'd like to see some examples of mod problems.

12.4, due on December 8

1. I don't really understand the lemma 12.26 and what exactly it's trying to prove.

2. It's interesting that the limits behave according to some of the same laws as regular numbers.

12.3, due on December 5

1. I don't really understand what a deleted neighborhood is.

2. I think it's interesting that it's one of the things that we learned about a lot in calculus, but there's still a whole lot of stuff that is new.

12.2, due on December 3

1. I don't really understand the lemma. I'm not really sure what it's trying to show.

2. This makes the epsilon delta proofs seem a lot more useful than they did in calculus.

12.1, due on December 1

1. I'm not sure that I could come up with the nth term of these sequences.

2. I remember doing stuff like this in calculus with limits and converging sequences and such.

due on November 25

• What have you learned in this course?
• A lot of proofs, but also about logic and how to approach problems.
• How might these things be useful to you in the future?
• I think in the future, problems like this will be less daunting. Also, I like the logical statements. Sometimes I use them in real life.

11.5-11.6, due on November 24

1. I'm not really sure what the purpose of perfect numbers is. Why is it important to know about them.

2. The relative prime thing is interesting. But would all prime numbers be relatively prime to every other number?