Here is the catalog description of this course.

01:640:291. Honors Calculus III (4) Prerequisites: 01:640:191-192 or permission of department.Covers the same material as 01:640:251 in a more thorough and demanding fashion. |

Analytic geometry of three dimensions, partial derivatives, optimization techniques, multiple integrals, vectors in Euclidean space, and vector analysis. |

A math department page has the following discussion which may be useful to students:

251 vs. 251H vs. 291
Math 251 continues the sequence begun with Math 151-152, usually with the same textbook and at the same level of rigor. The honors sections labeled 251H of Math 251 are (in general) intended for honors students in disciplines other than mathematics and are "more demanding versions of the same course." By contrast, Math 291 is deliberately intended as a course in honors mathematics for students whose primary interest in the course is the mathematics it contains. The textbook may not be that used in other calculus courses, and the choice of course material is at the instructor's discretion to a greater extent than in other lower-division courses. Theorems may be proved in class and required on examinations, and "many variables" may mean n variables, not just 2 or 3. |

S. Greenfield, e-mail: greenfie@math.rutgers.edu.

**Meeting time(s) and place(s)**

The course meets three times a week: on Monday and Wednesday 4:30-5:50
(sixth period) in SEC 212, Busch Campus, and on Thursday 4:30-5:50
(sixth period) in SEC 217 except when otherwise noted (such as
Thursday, 1/30,
when we will meet in ARC 116, the X-term "lab" inside the Busch Campus
Computing Center). Students are expected to attend all classes. The
appointed date and time for the final exam is
Friday, May 9, from 4 to 7 PM.

**Text(s)**

We will use the text for Math 251: *Calculus (Early
Transcendentals)*, by James Stewart, 4^{th} edition,
Brooks/Cole Publishing Co., 1999. Additional material may be handed
out or available on the web.

There are many texts covering the material in this course. One text at
an appropriate level covering the most important ideas of the course
is * Div, Grad, Curl, and All That: An Informal Text on Vector
Calculus* by Harry M. Schey, a paperback costing $18 published by
W.W. Norton, 3^{rd} edition, 1997. The cost is reasonable, and
I recommend buying it.

**Syllabus**

Here is a list of textbook problems which
will probably need adjusting during the semester. Students should
consider all the problems listed and write out as many answers as
possible when the related sections in the book are covered. Students
will be required to hand in some problems to be
graded.

**Grading**

There will be two exams in class and a three-hour cumulative
final. Substantial advance notice will be given for the exams, and
review material will likely be handed out and gone over. There will
be graded homework, both workshop writeups and standard
problems. There will be short quizzes in class, some of which may not
be announced. There will be opportunity for students to make short
oral presentations. All of this will be blended to create a number to
be translated into a term grade. The likely weight of these components
is now (before the semester begins -- things might change!) 100 points
for each in-class exam, 200 points for the final, and 200 points for
other work.

This is an honors course. Students who attend class and are diligent
and reasonably successful will get grades of B or above. There is
*no fixed percentage of grades* at any level, so students are
*not* competing for grades.

**Office hour(s)**

My office is in Hill Center: Hill 542, telephone number: (732)
445-3074. I usually check e-mail several times a day so it is probably
the best way to communicate with me: greenfie@math.rutgers.edu
**[MORE TO COME!]**
It is my job *and my pleasure* to teach and
interact with students. **Please feel free to visit me!**
I also encourage you to ask questions via e-mail
or after almost any class or to make an appointment at a mutually
convenient time.

**
Maintained by
greenfie@math.rutgers.edu and last modified 1/14/2003.
**