# Past Exam for MATH 145 - Liberal Arts Mathematics at San Mateo County Community College District Office (SMCCD)

## Exam Information

 Material Type: Exam 2 Professor: Staff Class: MATH 145 - Liberal Arts Mathematics Subject: Mathematics University: San Mateo County Community College District Office Term: -- Keywords: Essay QuestionsShort EssayDisadvantagesNatural NumbersHomework ProblemsMathematics

## Sample Document Text

Math 145 Test 2 Chapters 3 and 4 Study Sheet In class portion Your second test will consist of (2) questions from homework, and (3) essay questions You will not know in advance which homework problems will appear on the test. Three of these short essay questions will appear on the test. You may bring one 3x5 card with notes. Possible essay questions: . 1. Given a finite set of cardinality 4, define its power set and state the cardinality of the power set. If an additional element was added to the original set, how many sets would be added to the power set? Justify your statement with logic. Generalize your discussion to a rule about power sets. 2. Use an example to explain Cantor's diagonal method of showing that that the cardinality of the reals must be greater than the cardinality of the natural numbers. Be sure to build on the ides of one-to-oneness. 3. Compare and contrast a "cube" in zero dimensions, one dimension, two dimensions, three dimensions, and 4 th ...

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