Final Exam, due on December 10

Which topics and theorems do you think are the most important out of those we have studied?

1. Logic Tables

2. Direct Proof (Format)

3. Proof by Contrapositive (Format)

4. Proof by Contradiciton (Format)

5. Proof by Mathematical Induction (Format)

6. Proving an Equivalence Relation

7. Congruence Modulo n

8. Proving a Bijective Function

9. Schroder-Bernstein Theorem

10. Section 12.4

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.

1. Direct Proof (Format)-EXAMPLE

2. Proof by Contrapositive (Format)-EXAMPLE

3. Proof by Contradiciton (Format)-EXAMPLE

4. Proof by Mathematical Induction (Format)-EXAMPLE

5. Proving an Equivalence Relation

6. Congruence Modulo n

7. Proving a Bijective Function

8. Section 12.4

12.4, due on December 8

DIFFICULT
So far this has been one of the easier chapters out of this book.  Although these proofs look to be longer and more tedious too.

REFLECTIVE
Again this is stuff I remember back in 112 days, and as a tutor I am helping 112 students understand it now.  They were fairly straight forward then and are probably now.

Faster than a calculator | Arthur Benjamin | TEDxOxford - Make-Up Blog Entry

DIFFICULT
It was difficult to understand how he matches words with numbers and uses them in his thinking process.  Just thinking of doing more than 2 digit math in my head gives me a headache.

REFLECTIVE
Mnemonics are how I do most of my memorizing, but not on the same scale that Arthur Benjamin uses them.  We did talk about Arthur Benjamin when we were talking about Modular things, but I fail to see the correlation here.

12.3, due on December 5

DIFFICULT
I am not understanding the term Deleted Neighborhood.  Like I've said before I've never understood the point of Delta-Epsilon Proofs in 112, so this should be a good lecture tomorrow.

REFLECTIVE
I've understood the material in this chapter, and I've seen this material in 112 before.  So this section shouldn't be too rough.

12.2, due on December 3

DIFFICULT
Infinite Series were never easy for me.  So this whole section might be a little rough.  The steps taken to prove the results are a little difficult for me to understand,just like section 1, was a little hard to understand too.

REFLECTIVE
Math 113 just finished up Chapter 11 which talks about infinite series.  The P-Test comes to mind when thinking of Result 12.10.  We are again using things we've learned previously to help with more complex problems.

12.1, due on December 1

DIFFICULT
I never liked Delta/Epsilon proofs in calculus because I didn't know their purpose, I also found them to be quite hard.  Being a lower division math tutor I still found them hard to explain to students just because I never knew their purpose, so this chapter will help me in the future.

REFLECTIVE
I always wanted to know how Delta/Epsilon proofs proved limits in calculus.  I work in the Math Lab as a lower division tutor, Math 112 and 113 students are finishing up their individual sequences and series sections, so I should be well versed in at least this section.

Reflective Questions, due on November 25

WHAT HAVE YOU LEARNED IN THIS COURSE?

I have learned a great deal of things in this class, although when a test comes around I tend to forget all the things I have learned.  I love taking notes in class and understanding 80% of it.  Some of the cool things I have learned were logic and logic tables, cardinalities and denumerability, mathematical induction was fun, and this prime stuff in Chapter 11 is great too.

HOW MIGHT THESE THINGS BE USEFUL TO YOU IN THE FUTURE?
I really don't know how this class would be useful in my future.  I guess the use of logical thinking in problem solving in civil engineering would be useful, it might also be annoying.  I'm sure this class will be very useful in the future, I have just yet to see that yet.