Today was our first term test and I think I did fairly well. The questions were similar to the practice test that Larry emailed us so I was quite prepared for something of similar format. Even if I did not do well, here is how I will make myself feel better:
"Proof:
assume you left all questions blank
# that’s pretty bad!
then you get 20% # rule on test paper
assume class average is 70% # pretty high!
then you are 50% below average
in this term test # 70% - 20% = 50%
then this term test weighs 6% of final grade
# according course info sheet
then you are 3% below average
in term of final grade # 6%x50%=3%
then it is below are the acceptable
margin of error # 5% in physics
then it is totally acceptable"
Anyway, for the rest of the lecture, we talked about proofs. It was a fascinating concept because it filled in the gaps from my previous tutorial. The first example of proving that all n that are odd means that n^2 is also odd. The use of substitutions (variable k = 2j^2 + 2j) made a lot of sense to prove that n^2 = 2k +1 which follows the same format for all natural numbers that are odd (n = 2j + 1).
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