lec1024 - Topics Covered on Exam Graphs: condition for a...

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Topics Covered on Exam Graphs: condition for a graph to have an Euler Circuit, and basic defns. Relations: definition and graphical view, binary and n-ary relation, inverse, composition of a relation, associativity of composition, reflexive, irreflexive, symmetric, anti-symmetric, and transitive properties, equivalence relations, partial ordering relations, reflexive, symmetric, and transitive closures Functions: definition and graphical view, composition of a function, inverse, injection, surjection, and bijection. Sections in the book that will be useful: Chapter 5: Sections 1, 2, 6 Chapter 7: Sections 1, 4 Also, since a relation is simply a set, it may be useful to review material on sets from chapter 3. How to study: First, flip through my notes, making sure you understand the examples presented. Look at the past couple homework solutions, and also look at Lang’s previous homework questions on this material. Practice these problems. Finally, flip through the book to make sure you understand what is in each of the sections I mentioned above. Keep in mind that I may not have covered everything in these sections.
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Format Unlike last time I will actually have some T/F and multiple choice/matching, as well as some short answer. However, as always, I will have a few proofs of the nature that you have
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lec1024 - Topics Covered on Exam Graphs: condition for a...

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