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Department
of Mathematics
Syllabus
for Mathematics 60 &=
nbsp; &nbs=
p; Spring
2009 Time and Pl=
ace: =
MWF 10:00 am - 10:50 am Millikan 213 Instructor:=
&=
nbsp; Dr.
Adolfo J. Rumbos Office: &=
nbsp; &nbs=
p; Andrew 259. Phone / e-m=
ail: &=
nbsp; ext. 18713 / arumbos@pomona.edu Office Hour=
s: &=
nbsp; MWF 9:15 am - 9:50 am, Tu 9:15 am -10:55 am or by
appointment Text: &=
nbsp; &nbs=
p; Linear
Algebra: A gateway to Mathematics by Robert Messer. Prerequisit=
e: &=
nbsp; Multivariable
Calculus. Course
Description.
This is a course on vector spaces and linear transformations. We will draw from our past experie=
nce in
dealing with real-valued functions in Calculus. Our focus will be on the algebraic
structure instead of the analytic one (as was the case in Calculus
courses). We will single out =
those
functions that “interact nicely” with the algebraic structure;
these are the linear transformations.
In our study of linear transformations we will see how matrices arise
naturally. We will also see h=
ow the
theory of systems of linear equations is a very important tool in the study=
of
vector spaces. We shall pay s=
pecial
attention to geometric interpretations and applications. This will lead to the study of the=
eigenvalue problem and the diago=
nalization. We will attempt to cover all the t=
opics
listed in the attached Tentative
Schedule of Lectures and Examinations. Assigned Grading Pol=
icy. Grades will be based on the homewo=
rk,
two 50-minute examinations (see attached schedule), plus a comprehensive fi=
nal
examination. The grades will =
be
computed according to the following distribution: =
&nb=
sp; homework &n=
bsp;  =
; &n=
bsp;  =
; &n=
bsp; 20% =
&nb=
sp; two
50-minute exams &nbs=
p; &=
nbsp; &nbs=
p; &n=
bsp; 50% =
&nb=
sp; final
examination &n=
bsp; &n=
bsp;  =
; &n=
bsp;  =
; 30% Final Examination. Time: Thursday, May 14 8:00=
am -
11:00 am. Place: Millikan 213