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Math 25: Advanced Calculus
Fall 2010
Midterm 1
Your Name:
Student ID:
Signature:
Instructions
1. You have 50 minutes to complete this exam. Complete the problems in a way that
will optimize your total score.
2. There is plenty of room for you to do scratch calculations on this exam. In your
ﬁnal solution, please be sure to present your work in a clear, legible, and logical
manner. If you have solved a problem on the back of one of the pages of the exam,
please indicate this to the grader.
3. You are not allowed any books or notes on this exam. You are not allowed to use a
calculator.
4. If you are asked to prove something using the ﬁeld axioms, please refer to the axioms
speciﬁcally by name or number as they are listed on page 2.
5. Please silence or turn oﬀ your cell phones. You may not use any electronic devices
during the exam, such as mp3 players or laptop computers.
6. The exam has 4 problems on 6 pages. Please make sure you have them all.
7. Raise your hand if you have a question.
Score
1.
(6)
2.
(10)
3.
(8)
4.
(6)
Total
(30)
Good luck!
1
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View Full DocumentYou may use the following ﬁeld axioms and lemmas on this exam. When doing so,
please reference the speciﬁc axiom/lemma you are using.
The Field Axioms
Let
F
be a ﬁeld with addition + and multiplication
·
.
C:
∀
x,y
∈
F
,
x
+
y
∈
F
and
x
·
y
∈
F
.
A1:
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 Fall '10
 StevenKlee
 Calculus

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