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 205, Busch Campus, and on Thursday 4:30-5:50
(sixth period) in SEC 218. Students are expected to attend all
classes.

**Text**

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 climactic (!) ideas 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.

**Syllabus**

Here is a tentative schedule and problem list
which will probably need adjusting during the semester. Students
should consider all the problems listed and write out 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. There will be graded homework, both workshop writeups and
standard problems. There will be short quizzes in class. 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)**

I have two offices in Hill Center: Hill 304, telephone number: (732)
445-3864, and Hill 542, telephone number: (732) 445-3074. Usually
e-mail is the best way to communicate with me: greenfie@math.rutgers.edu.
I'm in the Hill 304 office most days (but not Tuesdays!), much of the time, as part of my
job in charge of the Graduate Program in Mathematics. You probably can
see me there much of the time. It would be *useful* if you
confirmed a visit by e-mail first, though, to make sure that I'm there
and I'm available. It is my job *and my pleasure* to teach and
interact with students. **Please feel free to visit me!** I will
try to reserve Wednesdays 1:10-2:30 (fourth period) as an office hour
for this course, but 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 8/27/2002.
**