Saturday, February 27, 2010

Are you Ready for the Test?!

Hello all. Tell me. Are YOU ready for the test on Monday?
I, personally, will be spending this weekend studying for it. It supposedly will contain everything we've learned up until now, but I think it will be dominantly about proofs. As in proving whether or not a statement is True in the taught format / style.

I've realised that as long as you do roughly the following, you will be fine.... structure wise.

Assume your variables.
Assume your antecedent.
Pick a variable if required.
Work out all that middle juicy stuff to your proof.
End up with your consequent.
Restate the original statement. # Assumed antecedent, got consequent.
Conclude the original statement this time containing any "for all"s and "there exists".
Note: Be sure to add comments for every line explaining yourself.
Done.

The same applies for proving the statement false, just be sure you're proving the original statement's negation instead. # The negation is True, therefore the original statement is False.

Careful with epsilon and delta proofs though. These are proven in a slightly different manner I've noticed which can be rather confusing. I think these one's require the most practice....

Anyways, hope this little blog was helpful in some way. Happy studying and good luck to all! See you Monday. ;)

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