General Information

Prerequisite

Math 3 or advanced placement into Math 8.

Content

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.

Textbook

Calculus (Eighth edition) by James Stewart, ISBN: 978-1-285-74062-1
(Available at Wheelock Books and also directly from the publisher)

Scheduled Lectures

Instructor Ina Petkova Ina Petkova Angelica Babei
Class (10) MWF 10:10 - 11:15 (11) MWF 11:30 - 12:35 (12) MWF 12:50 - 1:55
X-hour (10X) Th 12:15 - 1:05 (11X) T 12:15 - 1:05 (12X) T 1:20 - 2:10
Classroom Kemeny 008 Kemeny 008 Kemeny 007

Instructors

Instructor Ina Petkova Ina Petkova Angelica Babei
Office Kemeny 317 Kemeny 317 Kemeny 213
Office Hours M 1:30 - 3:30pm
T 10:00 - 11:00am
M 1:30 - 3:30pm
T 10:00 - 11:00am
M 2:00 - 3:20pm
T 10:30 - 11:50am
Th 9:30 - 10:50am
Email ina.petkova AT dartmouth.edu ina.petkova AT dartmouth.edu angelica.babei.gr AT dartmouth.edu

Exams

There will be to "midterm" exams and a cumulative final exam. The exams are scheduled as follows:

Exam 1 Wednesday, October 4, 4-6pm Murdough A02 Cook Auditorium Exam 1 and Solutions
Exam 2 Wednesday, October 25, 4-6pm Murdough A02 Cook Auditorium Exam 2 and Solutions
Final Exam November 17, 3-6pm Murdough A02 Cook Auditorium

If you have a conflict with one of the midterm exams because of a religious observance, scheduled extracurricular activity such as a game or performance (not practice!), scheduled laboratory for another course, or similar commitment, please see your instructor at least one week in advance so possible alternative arrangements can be pursued.

All students must take the final at the scheduled time, unless they are scheduled by the registrar to have two conflicting examinations or three examinations on a single calendar day. In particular, no final will be given early or late to accommodate student travel plans. If you make travel plans that later turn out to conflict with the scheduled exam, then it is your responsibility to either reschedule your travel plans or take a zero in the final.

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.

Homework 

  • Read the assigned sections of the textbook before each class.
  • WebWork problems will be assigned daily before class, due at 10:00 am on the day of the next class meeting. The daily problems can be accessed via the WeBWorK Login link.
  • Written homework will be assigned weekly and will be posted on the homework page. It will be due each Wednesday, and is to be turned into the homework boxes outside of Kemeny 108 by 3:30 p.m. Homework will typically cover the material up through the previous Friday. So the first written assignment (available on the homework page) covers the first week worth of material and is due on Wednesday of week 2.
  • In written homework (and on exams), be sure that you show your work, explain all steps, and write neatly. A correct answer with no work shown or that cannot be read will receive minimal credit. This is good practice for what will be expected on exams.
  • On the Downloads page you will find a FERPA waiver; please sign it and return it with your first homework. If you choose to sign the waiver portion, you will be able to collect your homework from the boxes in the hallway of Kemeny Hall. If you decline to sign the waiver portion, you can collect your homework from your instructor's office by showing your Dartmouth ID.
  • If you have a question about how homework was graded, you can ask your instructor; to have it regraded, please submit your question in writing to your instructor.
  • No late homework will be accepted.

The Academic Honor Principle

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 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.

On exams, you may not give or receive help from anyone. Exams in this course are closed book, and no notes, calculators, or other electronic devices are permitted.

Plagiarism, collusion, or other violations of the Academic Honor Principle will be referred to the Committee on Standards.

Tutorial

Our graduate teaching assistants, Pepper Huang and Sarah Manski, will run tutorials Sunday, Tuesday, and Thursday at 7 - 9 pm in Kemeny 007. Feel free to drop in as needed to the tutorials and get answers to your questions, help with your homework, and engage with the TAs and other students with the course material. Past students have found these tutorials to be immensely helpful!

Other Outside Help

  • Office Hours: Please feel free to meet with us during office hours (or by appointment) with questions regarding homework problems or any other aspect of the course.
  • Peer Tutoring: The Tutor Clearinghouse of the Academic Skills Center provides one-on-one peer tutoring. Tutors are recruited, having done well in the subject, and are trained by the Academic Skills Center. If a student receives financial aid, the College will pay for three hours of tutoring per week. If you would like to have a tutor, please go to 301 Collis and fill out an application as early in the term as possible.

Grades

The course grade will be based upon the scores on the midterm exam, homework, and the final exam as follows:

Written homework 10%
WebWork 10%
Midterm 1 20%
Midterm 2 20%
Final Exam 40%

Other Considerations

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 with disabilities who may need disability-related academic adjustments and services 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.