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10Ff - NAME Prof Girardi Th 12.09.10 at 5:30pm MARK BOX...

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NAME: Prof. Girardi Th. 12.09.10 at 5:30pm Final Exam Math 300 MARK BOX problem points 1 (parts 1 – 40) 40 2 5 3 5 4ab 4 5ab 4 6ab 4 4c 10 5c 10 6c 10 7 10 total 102 INSTRUCTIONS : (1) The mark box indicates the problems along with their points. Check that your copy of the exam has all of the problems. (2) When applicable put your answer on/in the line/box provided. Show your work UNDER the provided line/box. If no such line/box is provided, then box your answer. (3) During this exam, do not leave your seat. If you have a question, raise your hand. When you finish: turn your exam over, put your pencil down, and raise your hand. (4) You may not use a calculator, books, personal notes. (5) This exam covers (from A Transition to Advanced Mathematics by Smith, Eggen, and St. Andre: 6 th ed.): Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 2.4, 2.5 . Numbers: real numbers = R positive real numbers = R + = { x R : x > 0 } natural numbers = N = { 1 , 2 , 3 , 4 , . . . } integers = Z = { 0 , ± 1 , ± 2 , ± 3 , ± 4 , . . . } rational numbers = Q = n p q R : p, q Z and q 6 = 0 o prime numbers = P = { 2 , 3 , 5 , 7 , 11 , 13 , . . . } Throughout this exam: (1) P , Q , and R are propositions. (2) P ( x 1 , x 2 , . . . , x n ), Q ( x 1 , x 2 , . . . , x n ), and R ( x 1 , x 2 , . . . , x n ) are open sentences with variable x 1 , x 2 , . . . , x n .
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