MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CA2BBB.554D04B0" 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_01CA2BBB.554D04B0 Content-Location: file:///C:/1EF21713/Math107Fall09Syllabus.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Department of Mathematics

Pomona= College

Department of Mathematics

 

Math 107.  Vector Calculus

 

Fall 2009

 

Course Outline

 

Time and Place: =         MW 2:45 pm - 4:00 pm    Millikan  213

&nb= sp;

Instructor: =         &= nbsp;        Dr. Adolfo J. Rumbos

 

Office:<= span style=3D'mso-spacerun:yes'>        =                 = Andrew 259

 

Phone / e-mail:     =       ext.  18713  / arumb= os@pomona.edu

 

Office Hours: =         &= nbsp;   MWF 10:00 am - 11:00 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

      &= nbsp;     C= ourse Website:        http://pages.pomona.edu/~ajr04747/

 

Prerequisites:<= span style=3D'mso-spacerun:yes'>             Math 60 (Linear Algebra) or equivalent course.

 

 

=   The main goal of this course is th= e development of differential and integral calculus ideas, which students learned 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.

Readings and Problems.   Readings and problem sets will be assig= ned at every lecture.  Homework assig= nments will be collected on an alternate basis.&n= bsp; Students are strongly encouraged to work on every assigned problem.<= span style=3D'mso-spacerun:yes'>  Late homework assignments will not be graded.

  Grades will be based on the homewo= rk, three 75-minute examinations, plus a comprehensive final examination.  The grades will be computed as fol= lows:

     = homework               &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;  20%

     =        three 75-minute exams          &= nbsp;           &= nbsp;   50%

     =        final examination     &n= bsp;            = ;            &n= bsp;            = ;    30%

 

Time: =    Monday, December 14     &= nbsp; 2:00 pm

Place:   Millikan 213

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