1. The most difficult part of this material for me was implication. I understand why T & T = T, T & F = F, and even F & F = T, but not why F & T = T! The example in the book talks about how the student didn't get an A on his test, but still got the A and the teacher didn't lie. I understand that the teacher didn't lie, but the first and second statements no longer have relation in my mind. Because he didn't get an A on his test does not lead to him getting an A in the class.
2. This reading was fairly basic and straightforward, which I enjoy. Though I'm not entirely sure why and for what purpose, it was neat that this reading seemed to be setting forth a very ordered method of presenting things. For example with statements. A statement is a statement whether or not it's true or false. However, the way that you state it must be in the form of a statement. I've had some experience with higher math and proofs require it. You can't prove or disprove a question!
Thursday, August 30, 2012
Tuesday, August 28, 2012
1.1-1.6, due on August 29
1. The most difficult part of this reading for me were index sets. I have read over it a few times and still have trouble understanding where all the sets in the Index set come from. The book states that it is simply a set which is used as a mechanism for the sets we want to consider. So each element in the indexed set is simply a set that is numbered? The examples show some fun things that can be done with it, especially with set operations but I'm not entirely sure how this is to be used.
2. For me one of the coolest things was with the Cartesian Products of Sets. Not that it is terribly relevant to my field, but it was cool to me that any line could be written as an element of the Cartesian product R x R.
As well, set partitions was neat because it helped me visualize how real numbers relate to rational and irrational numbers for example.
2. For me one of the coolest things was with the Cartesian Products of Sets. Not that it is terribly relevant to my field, but it was cool to me that any line could be written as an element of the Cartesian product R x R.
As well, set partitions was neat because it helped me visualize how real numbers relate to rational and irrational numbers for example.
Introduction, due on August 29
What is your year in school and major?
-Junior, Mechanical Engineering
Which calculus-or-above math courses have you taken?
-Math 113 - Wayne Barrett,
-Math 343 - Jeremy West,
-Math 334 - Mark Meilstrup,
-Math 214 - Lawrence Fearnley,
-Math 513R - Jeff Humphreys, Jeremy West
Why are you taking this class?
-Although I'm an engineer, I love math! I decided to take the standard math courses and go for the math minor instead of just taking math for engineers. Math 290 is the last course that I need to complete for my minor.
Tell me about the math professor or teacher you have had who was the most and/or least effective. What did he do that worked so well/poorly?
-The classes I took from Jeremy West were by far the ones that I enjoyed the most. Part of the reason was that he simply taught them well. He also spent however amount of time was needed on a particular concept for students to understand. However, what truly made him stand apart was the passion he had for math. When he completed a proof with us, he would get so excited, even if it was a simple one!
-Probably the least effective teacher I had was Lawrence Fearnley. It was awhile ago but from what I remember, he was very difficult to understand due to both a slight accent and the volume of his voice. As well, he didn't communicate the ideas very well, preferring to speak rather than write and do examples.
Write something interesting or unique about yourself.
-I always break things in pairs. For instance, I first broke both of my arms, then several years later both of my ankles. I go all out!
If you are unable to come to my scheduled office hours, what times would work for you?
-I have a class MWF at 9. However, at 10 o'clock until 1 o'clock I am available.
-Junior, Mechanical Engineering
Which calculus-or-above math courses have you taken?
-Math 113 - Wayne Barrett,
-Math 343 - Jeremy West,
-Math 334 - Mark Meilstrup,
-Math 214 - Lawrence Fearnley,
-Math 513R - Jeff Humphreys, Jeremy West
Why are you taking this class?
-Although I'm an engineer, I love math! I decided to take the standard math courses and go for the math minor instead of just taking math for engineers. Math 290 is the last course that I need to complete for my minor.
Tell me about the math professor or teacher you have had who was the most and/or least effective. What did he do that worked so well/poorly?
-The classes I took from Jeremy West were by far the ones that I enjoyed the most. Part of the reason was that he simply taught them well. He also spent however amount of time was needed on a particular concept for students to understand. However, what truly made him stand apart was the passion he had for math. When he completed a proof with us, he would get so excited, even if it was a simple one!
-Probably the least effective teacher I had was Lawrence Fearnley. It was awhile ago but from what I remember, he was very difficult to understand due to both a slight accent and the volume of his voice. As well, he didn't communicate the ideas very well, preferring to speak rather than write and do examples.
Write something interesting or unique about yourself.
-I always break things in pairs. For instance, I first broke both of my arms, then several years later both of my ankles. I go all out!
If you are unable to come to my scheduled office hours, what times would work for you?
-I have a class MWF at 9. However, at 10 o'clock until 1 o'clock I am available.
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