This content is password protected. To view it please enter your password below:

]]>

For some reason i was thinking integers. Thank you.

]]>For 11b, note that the positive real numbers includes numbers between 0 and 1 — so, for example, the interval [0, .5] is one of our sets, as is [0, .1] and so on. This means that the only number that is in all of them is 0 itself.

-Prof. Reitz ]]>

I definitely agree with you when you say to work in groups, I think having the point of view of someone else helps a great deal when trying to solve the proofs. This technique worked for me when it came to trying to prove by contradiction.

]]>2. Choose one topic in the course that is especially challenging. Identify it, and give advice to students trying to master that topic.

3. What is the most important prior knowledge (not taught in the class) that you need in order to succeed? Why is it important?

1. I wish that I actually researched what a proof and logic class consisted of before I entered the class. I mean the name pretty much tells you what the class is about. I also wish I paid more attention to my Probability and Statistics because someone of the topics definitely did pop up early to mid semester. I also think it’s beneficial if students know that in order to succeed in this class students must must must do their homework’s. I made the mistake of stop doing homework for my Linear Algebra class and my grade suffered. I told myself, this semester I wouldn’t make the same mistake twice. That is why I made it my business to do every homework assignment because it helped a great deal.

2. The one topic that was challenging was proof by contradiction. OMG I hate this proof. I never know what my c is and then the not c. It was helpful when I worked on the problem with another student from class who was kind enough to allow me to figure it out on my own but helped to guide me through the steps (THANK YOU ADAM, I now can prove that radical 5 is irrational). I think this was very useful; it’s also useful to use board space when trying to come up with your proof, sometimes writing it down on paper won’t cut it.

3. Brush on your algebra. I made the silly mistake and stated on my first exam that 2*1= 1 LOL. Well obviously I probably was rushing but in terms of brushing up on algebra, when we get to function and induction proofs it’s really essential to know how to add and subtract fractions and how to factor out probably. Also if you take Probability and Statistics prior to taking this class definitely pay attention to the part where your professor talks about unions and intersections it will help a great deal.

The only real advice I have is to PRACTICE, PRACTICE, PRACTICE!

Overall, this was a great class and I think you did a great job at teaching the course material. You made it extremely enjoyable and I think that’s what helped me learn the concepts easier. The homework assessments were helpful and didn’t feel as thought they were punishment as they are in other classes. The daily sheets with the topics were definitely helpful and I think they will help in our other classes.

]]>I agree with you, trying to prove the conjecture true was extremely tedious. I thought the previous assignment was difficult trying to prove the puzzles that our classmates posted. It was through trying to prove their puzzle that I came up with my puzzle. How did the student take to you trying out the MIU puzzle on them? Did they give you the O_o look?

]]>I want to echo this entire post, since I agree with it all. It’s not enough to simply understand a concept when you hear it. You have to be able to apply it as well. Practice (which is easily done by just doing the homework) is a great way to help yourself understand anything in this class. And group work is beneficial for helping someone understand material that they just didn’t get.

]]>