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FinalExamReview

# FinalExamReview - Mann Fall 2011 M325K Discrete Mathematics...

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Mann Fall 2011 M325K Discrete Mathematics Final Exam Review The Final Exam will be Wednesday, December 7 in our classroom. The Final Exam will cover all sections we have discussed this summer. You must show ALL your work on each problem to receive credit! Justify each statement! Do NOT skip steps! Students are expected to know the following: All definitions & how to apply definitions in proofs Valid Argument Forms in Table 2.3.1 page 61 How to construct and use Truth Tables How to prove the validity of an argument How to prove a given statement directly How to prove a given statement indirectly (contradiction & contraposition) How to prove a given statement using mathematical induction How to prove a given set theory property using the element method of proof How to prove a function is 1-1 and onto

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Final Exam Review, Summer 2011, p. 2 How to find the inverse of a function that is both 1-1 and onto How to evaluate compositions of functions How to determine whether a relation is reflexive, symmetric, transitive, or none of these How to find the equivalence classes of an equivalence relation How to apply the Pigeonhole Principle
Final Exam Review, Summer 2011, p. 3 §2.1 – 2.3 Determine whether the following argument is valid or invalid.

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