This course is a sequel to Math 3 and provides an introduction to Taylor series and functions of several variables. The first third of the course is devoted to approximation of functions by Taylor polynomials and representing functions by Taylor series. The second third of the course introduces vector-valued functions. It begins with the study of vector geometry, equations of lines and planes, and space curves. The last third of the course is devoted to studying differential calculus of functions of several variables.
Calculus, Volumes 2 and 3 by E. Herman, et. al., Openstax
(Available on OpenStax: Volume 2, Volume 3)
| Instructor | Samuel Lin | Mits Kobayashi | Jack Petok |
|---|---|---|---|
| Class | (C) MWF 10:20 - 11:25 | (D) MWF 11:45 - 12:50 | (F) MWF 2:35 - 3:40 |
| X-hour | (CX) Th 12:30 - 1:20 | (DX) T 12:30 - 1:20 | (FX) Th 1:40 - 2:30 |
| Instructor | Samuel Lin | Mits Kobayashi | Jack Petok |
|---|---|---|---|
| Office Hours | TBA | TBA | TBA |
| Samuel.Z.Lin AT dartmouth.edu | mitsuo.kobayashi AT dartmouth.edu | jack.petok AT dartmouth.edu |
This course will run as a mix of asynchronous and synchronous activities. Lectures will be prerecorded and usually posted on Canvas 48 hours before scheduled class meetings. Many lecture videos will also be accompanied by a short Canvas quiz. Scheduled class meetings will be a mix of synchronous discussion and activities, and hopefully cover a wide range of times, so that everyone is able to participate. We will record portions of these meetings for students who cannot attend. Attendance is a part of your participation grade, but there are other ways to earn participation for students with conflicts (please email for details).
To encourage student interaction and collaborative learning, we will be assigning study groups of four to five students each. The weekly written homework assignments are to completed by each study group. Each group will turn in a single, collaboratively written homework. Each group is also required to schedule a weekly meeting with one of our undergraduate TAs (details to be announced very soon).
There will be five short exams and one final. Dates are (tentatively): Jan 19, Feb 2, Feb 16, Feb 23, Mar 2, Final exam TBA. There will also be a diagnostic exam during the first full week of classes that you will submit for a grade, but this grade will not be recorded. One of the goals of this practice is that the graded (but unrecorded) feedback will give you a sense of how the instructors will be grading your exams.
If you have a question about how your exam was graded, you can ask your instructor; to have your exam regraded, please submit your question in writing to your instructor.
Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously. We also believe in working and learning together.
Cooperation on homework is permitted and encouraged, but in the case of individual assignments such as WeBWorK, if you work together, try not take any paper away with you—in other words, you can share your thoughts (say on a blackboard), but try to walk away with only your understanding. In particular, you must write the solution up individually, in your own words. This applies to working with tutors as well: students are welcome to take notes when working with tutors on general principles and techniques and on other example problems, but must work on the assigned homework problems on their own. Please acknowledge any collaborators at the beginning of each assignment. In the case of group assignments, you may likewise discuss the problem with those outside the group as long as this is acknowledged on the assignment and the final solution itself is composed among group members only.
On quizzes and exams, you may not give or receive help from anyone. The only allowed aids are your lecture notes and the OpenStax textbook.
Plagiarism, collusion, or other violations of the Academic Honor Principle will be referred to the Committee on Standards.
The course grade will be based upon reading quizzes and class participation, the scores on the short exams, written group homework, Webwork, and the final exam as follows:
| Reading quizzes | 5% |
| Participation | 5% |
| Written group assignments | 15% |
| Webwork | 15% |
| Short Exams and final | 60% |
Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.
Students who need academic adjustments or alternate accommodations for this course are encouraged to see their instructor privately as early in the term as possible. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (Carson Suite 125, 646-9900, Student.Accessibility.Services@Dartmouth.edu). Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to their professor. As a first step, if students have questions about whether they qualify to receive academic adjustments and services, they should contact the SAS office. All inquiries and discussions will remain confidential.
(1) Consent to recording of course and group office hours a) I affirm my understanding that this course and any associated group meetings involving students and the instructor, including but not limited to scheduled and ad hoc office hours and other consultations, may be recorded within any digital platform used to offer remote instruction for this course; b) I further affirm that the instructor owns the copyright to their instructional materials, of which these recordings constitute a part, and distribution of any of these recordings in whole or in part without prior written consent of the instructor may be subject to discipline by Dartmouth up to and including expulsion; b) I authorize Dartmouth and anyone acting on behalf of Dartmouth to record my participation and appearance in any medium, and to use my name, likeness, and voice in connection with such recording; and c) I authorize Dartmouth and anyone acting on behalf of Dartmouth to use, reproduce, or distribute such recording without restrictions or limitation for any educational purpose deemed appropriate by Dartmouth and anyone acting on behalf of Dartmouth. (2) Requirement of consent to one-on-one recordings By enrolling in this course, I hereby affirm that I will not under any circumstance make a recording in any medium of any one-on-one meeting with the instructor without obtaining the prior written consent of all those participating, and I understand that if I violate this prohibition, I will be subject to discipline by Dartmouth up to and including expulsion, as well as any other civil or criminal penalties under applicable law.