MATH 452/502
TEST 2
Write your full name in the answer sheet and indicate your course number.
Instructions for MA 452 students: Do only 4 of the 5 problems for full credit. Be
sure to indicate which 4 are to be graded. Each question is worth 25points.
Ins
MATH 452/502
Final Exam
Write your full name in the answer sheet and indicate your course number.
Instructions for MA 452 students: Do only 8 of the 10 problems for full credit. Be
sure to indicate which 8 are to be graded. Each question is worth 12.5poin
MATH 452/502
Final Exam: Summer 2011
Instructions: Write your full name in the answer sheet and indicate your
course number.
MA 452 students: Do only 8 of the 10 problems for full credit. Be sure
to indicate which 8 are to be graded.
MA 502 students: Do a
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MATH 452/502
TEST 1
Instructions: Write your full name in the answer sheet and indicate your course number.
MA452 students should do only the rst four problems. MA502 students should do all
ve problems.
[1] Use the Monotone Convergence Theorem to show the
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MATH 452/502
TEST 1
Write your full name in the answer sheet and indicate your course number.
Instructions for MA 452 students: Do only 4 of the 5 problems for full credit. Be
sure to indicate which 4 are to be graded. Each question is worth 25points.
Ins
MATH 452/502
TEST 2
Write your full name in the answer sheet and indicate your course number.
Instructions for MA 452 students: Do only four of the ve problems for full credit.
Be sure to indicate which four are to be graded. Each question is worth 25poin
MA 452/502: Introduction to Real Analysis
Exam 1: Solutions
July 2, 2007
1. (40 points) Mark each statement True or False. Justify each answer.
(1). If x, y, z R and x < y , then xz < yz .
False. Example: Let x = 1, y = 2, z = 1, then x < y but xz > yz .