Name:
Math 21b Midterm I—Thursday, March 6, 2003
Please circle your section:
Thomas Judson
Thomas Judson
Kalle Karu
Eduardo Saverin (CA)
Rene Shen (CA)
Mark Bandstra (CA)
Jakob Topp (CA)
Albert Wang (CA)
MWF 121
MWF 10–11
MWF 11–12
Ken Chung
Spiro Karigiannis
Nathan Lange (CA)
Jeﬀ Berton (CA)
TuTh 10–11:30
TuTh 11:30–1
Problem
Possible
Score
Number
Points
1
12
2
10
3
12
4
12
5
10
6
11
7
11
8
11
9
11
Total
100
Directions—Please Read Carefully!
You have two hours to take this midterm. Pace yourself
by keeping track of how many problems you have left to go and how much time remains. you do
not have to answer the problems in any particular order, so move to another problem if you ﬁnd
you are stuck or spending too much time on a single problem. To receive full credit on a problem,
you will need to justify your answers carefully—unsubstantiated answers will receive little or no
credit (except) if the directions for that question speciﬁcally say no justiﬁcation is necessary, such
as in the True/False section). Please be sure to write neatly—illegible answers will receive little or
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 Spring '03
 JUDSON
 Math, Differential Equations, Linear Algebra, Algebra, Equations, Matrices, linearly independent set, Thomas Judson Eduardo Saverin

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