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, Volumes 2 and 3 by E. Herman, et. al., Openstax
(Available on OpenStax: Volume 2, Volume 3)

Scheduled Lectures

Instructor Ina Petkova Ina Petkova 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

Instructors

Instructor Ina Petkova Ina Petkova Jack Petok
Office Hours TBA TBA TBA
Email ina.petkova AT dartmouth.edu ina.petkova AT dartmouth.edu jack.petok AT dartmouth.edu

Course Structure

This course will run as a mix of asynchronous and synchronous activities. Lectures will be prerecorded and posted on Canvas. Office hours and problem solving sessions will be synchronous, and hopefully cover a wide range of times, so that everyone is able to participate.

We are currently working with the registrar to create a fourth section of the course which will have on-campus components. Students in that section will be informed about the requirements for this particular section once enrolled.

Exams

There will be four short, timed, takehome exams, in Weeks 3, 4, 8, and 10 of the course, and one takehome final exam.

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 

  • Before problem solving sessions, you should read the assigned section and watch the corresponding lecture, so that you can ask questions and participate actively. Questions and comments are encouraged, both in and out of class. If you have to miss a session, make sure you get lecture notes from your fellow students.
  • The homework assignments will be posted on Canvas. Late homework will not be accepted for ANY reason. Instead, your lowest written homework score and your lowest WebWork score will be dropped.
  • 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.
  • 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.

Grades

The course grade will be based upon reading and class participation, the scores on the short exams, homework, and the final exam as follows:

Reading and class participation 5%
Written homework 20%
WebWork 10%
Short Exams 45%
Final Exam 20%

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 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.