Penn State University Advanced Math Questions

Question Description

Answer the following questions to the best of your ability. Do not provide irrelevant information.

If a question seems ambiguous to you, state the most reasonable assumptions to resolve the ambi

guity and proceed on that basis. Show your work and explain your reasoning. Use the defifinitions

of concepts that we have developed in class. If you would like to use an alternate defifinition, you

should show that your defifinition is equivalent to the one we have used. If we have stated a theorem

in class, you may use it without proving it unless I explicitly ask you to prove it. If a theorem was

stated only in homework, you will need to prove it in order to use it. You can use your notes, class

handouts, and the textbook, but no other sources are allowed.

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