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Unformatted text preview: Name: CSUSM Math 370 Instr: Dr. Andr e Kundgen SAMPLE ONLY Final Exam Show work, explain your reasoning and clearly mark your answers. Please ask about anything that is unclear. Use back sides of pages for scratch and overflow work, but clearly indicate which is which! 1. Short answers questions. (24 pts) a) Prove that the product of two odd numbers is odd. b) Give the proper definition of the symmetric difference of two sets A, B . c) State the Binomial Theorem. (Dont forget the hypothesis!) d) What does it mean for a function f : A B to be onto? (Your answer should use only symbols and no words.) e) Give a set A such that { 4 } A and { 4 } A , or explain why such a set cant exist. f) Determine the number of partitions of the set { 1 , 2 , 3 } . 2. Prove that 5 n 1 is divisible by 4, for every natural number n . (10 pts) 3. Circle all the properties which R = { (1 , 2) , (2 , 4) , (3 , 4) , (1 , 4) , (5 , 7) , (6 , 7) } satisfies....
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This note was uploaded on 05/12/2008 for the course MATH 245 taught by Professor ramaswamy during the Spring '08 term at San Diego State.
 Spring '08
 RAMASWAMY
 Math

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