MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C995A6.637065B0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C995A6.637065B0 Content-Location: file:///C:/1EF21713/Math107Spring09Syllabus.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
Department
of Mathematics
Mathematics 107.
Vector Calculus
Spring 2009
Course Outline
T=
ime
and Place: =
MW
2:45 pm - 4:00 pm
Millikan 134
Instructor: =
Dr.
Adolfo J. Rumbos
Office:<=
span
style=3D'mso-spacerun:yes'> =
=
Andrew
259
Phone / e-mail: =
ext. 18713 /
Office Hours: =
&=
nbsp; MWF
9:15 am - 9:50 am, Tu 9:15 am – 10:50 am, or by appointment
Text:<=
span
style=3D'mso-tab-count:3'> &=
nbsp; &nbs=
p; Second
Year Calculus by David M. Bressoud
Undergraduate
Texts in Mathematics, Springer 2000
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
differentiation and integration 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
and developed.
=
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
75-minute examinations, plus a comprehensive final examination. The grades will be computed as fol=
lows:
=
homework
&=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; 20%
=
Two
75-minute exams &nbs=
p; &=
nbsp; &nbs=
p; 50%
=
final
examination &n=
bsp;  =
; &n=
bsp;  =
; 30%
Time: =
Friday,
May 15
2:00 pm
Place: Millikan
213