A.Some of the most important topics this semester: Logic, Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove or Disprove problems, Equivalence Relations, Functions, Cardinalities of Sets, Number theory algorithms,
B. One of the things that I would like to review is proofs involving the union of sets.
Also a review of the properties for a question like
Let R be a relation defi ned on the set Z by a b if and only if a2 + b2 is even. Then R is
(remember to choose the most correct answer)... transitive, symmetric, and/or reflexive.
C. This semester I have learned how grateful I am for the mathematics we have today. It is a beautiful thing to be able to solve life's problems and make it a better place by analyzing numbers and making calculations. I have learned that some of the simple rules and theorems we enjoy today are actually very difficult and complicated to prove. Some of the number theory we have covered has been my favorite thing we have studied.
Thank you Professor Jenkins for your help and teaching.
No comments:
Post a Comment