Multivariable Calculus

for Two-Term Advanced Placement First-Year Students

[updated 10/13/06 to reflect move to Kemeny Hall]

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This course provides an introduction to multivariable mathematics and calculus of vector-valued functions. Topics include coordinates and vectors in R

^{2}and R^{3}, differentiation and integration of parametrically defined functions with interpretations of velocity, acceleration, arclength and curvature. Other topics include iterated, double, triple and surface integrals including change of coordinates. The remainder of the course is devoted to vector fields, line integrals, Green's theorem, curl and divergence, and Stokes' theorem. Prerequisite: This course is for First-Year Students who have received two terms of AP credit based upon the BC exam. Dist: QDS.

Textbook:Calculus 5e, by James Stewart. The text is available at Wheelock Books.

Instructors:

Dwight Lahr

Class Meetings: Sec. 1, MWF, 11:15-12:20, Kemeny 008

Office: 341 Kemeny, Telephone: (603) 646 2672, E.mail: Dwight.Lahr@dartmouth.edu

Office hours: MW: 1:00-2:00 p.m. (and by appt.)

Craig Sutton

Class Meetings: Sec. 2, MWF, 12:30-1:35, Kemeny 008

Office: 321 Kemeny, Telephone: (603) 646 1059, E.mail: Craig.Sutton@dartmouth.edu

Office Hours: M: 2:00-3:30 p.m.; Th: 9:00-10:30 a.m. (and by appt.)

Sergi Elizalde

Class Meetings: Sec. 3, MWF, 8:45-9:50, Kemeny 008

Office: 332 Kemeny, Telephone: (603) 646 8191, E.mail: Sergi.Elizalde@dartmouth.edu

Office Hours: MW: 9:50-10:50 a.m.; M: 2:00-3:00 p.m. (and by appt.)

We all encourage you to contact us by e-mail for purposes of asking questions, making comments, or setting up meetings.

Graders, Tutors:

Graduate Student Teaching Assistants (TAs): Paul Kinlaw, Mits Kobayashi, and Ralf Rueckriemen.

Graders: To be identified later.

Homework:Each week exercises will be assigned that are intended to give you facility with the concepts being developed in class. Most of the homework will be done on-line on the World Wide Web using WeBWorK, a computer program that tells you if an answer you enter is correct, or not. There will be WeBWorK assignments for each class. These assignments will usually be due two classes after they are assigned. You should check the exact due dates after logging in to webwork. Late homework, not excused in advance, is not accepted.In addition to WeBWorK, homework problems in the book will be listed on the syllabus for some classes. We hope to have undergraduate graders who will read them over and indicate if your solution is correct. These problems will not count in your grade, but neglecting them will not help you on the exams.

Webwork information:If you preregistered for the course, you should have a WeBWorK account by the first day of classes. If you do not have an account by then, tell Dwight Lahr so that one can be created; send him e-mail stating your student ID number and your instructor's name. Your initial password is the student ID number. Change it soon, but be sure to remember the new password.

Tutorials:Tutorials will be run by the TAs every Sunday, Tuesday, and Thursday evening from 7:00 to 9:00 p.m. in room 102 Bradley. Tutorials begin Thursday, September 21. Starting Tuesday, October 17, all tutorials will move to the Kemeny Hall Bloom/Chao Classroom (Rm. 007). You should be sure to drop in whenever you need to get your homework questions answered.

Examinations:There will be two hour-exams and a final as follows (calculators will not be allowed or required on exams):Hour-Exam 1: Wednesday, October 18, 3:30-4:45, about half multiple-choice.

Hour-Exam 2: Wednesday, November 8, 3:30-4:45, about half multiple-choice.

[For the hour-exams, the three sections will use various rooms, as follows:]

- Elizalde: Kemeny 007 and 108 (go to 007 first)
- Lahr: Kemeny 008
- Sutton: Wilder 111

Final Exam: Saturday, December 2, 11:30-2:30, multiple choice. [Location to be announced by the Registrar.]

Grading:Final letter grades will be determined from the points you earn, as follows:Two hour-exams: 100 points each

Final Exam: 150 points

WeBWorK homework: 50 points

Total: 400 points

Academic Honor Principle:

On exams: No help is to be given or received.

On homework: No copying. You may seek help as much as you need. The tutorials are designed for that purpose. You may work with other students except on exams, but must always write up whatever you are working on on your own. Copying from someone else's work, including the sharing of electronic or other files, is not permitted and is a violation of the honor principle.

Disabilities:We encourage students with documented disabilities, including "invisible" disabilities such as chronic diseases, learning disabilities, and psychiatric disabilities, to discuss possible accommodations with one of your instructors. Students might want to consult as well Student Accessibility Services, 301 Collis Center, ext. 6-2014. In addition to providing information and services, the office can assist with determining appropriate accomodations.

Copyright © 2006 by C. Dwight Lahr