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Department
of Mathematics
Math 107. Vector
Calculus
Spring 2011
Course Outline
Time and
Place: =
MWF
11:00 am - 11:50 am
Millikan 218
Instructor: =
&=
nbsp; Dr.
Adolfo J. Rumbos
Office:<=
span
style=3D'mso-spacerun:yes'> =
=
Andrew
259
Phone / e-mail: =
ext. 18713 /
Office Hours: =
&=
nbsp; MWF
9:30 am - 10:50 am, or by appointment
Text:<=
span
style=3D'mso-tab-count:3'> &=
nbsp; &nbs=
p; Vector
Calculus by Peter Baxandall and Hans Liebeck=
Dover
Publications, Inc., 2008 printing
Prerequisites:<=
span
style=3D'mso-spacerun:yes'> Math
60 (Linear Algebra) or equivalent course.
=
The main goal of this course is the
development of differential and integral calculus ideas, which students lea=
rned
in a single-variable calculus courses, in dimensions higher than 1. The main objects of study are func=
tions
from n-dimensional Euclidean sp=
ace to
m-dimensional Euclidean space (=
also
known as Vector Fields) and th=
eir
differentiability and integrability properties. We will also be concerned with the=
study
of subsets of Euclidean space on which those functions act. The culmination of the course will=
be
the multivariable version of the F=
undamental
Theorem of Calculus (also known as the generalized Stokes’ Theorem).
In the process leading to Stokes’ Theorem, the machinery of differentiable manifolds and differential forms will be introd=
uced.
=
The
specific topics to be covered are listed in the attached Tentative
Schedule of Lectures and Examinations.
Grades will be based on the homewo=
rk,
two 50-minute examinations, plus a comprehensive final examination. The grades will be computed as fol=
lows:
=
homework
&=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; 20%
=
Two
50-minute exams &nbs=
p; &=
nbsp; &nbs=
p; 50%
=
final
examination &n=
bsp;  =
; &n=
bsp;  =
; 30%
Time: =
Thursday,
May 12
9:00 am
Place: Millikan
218