General information

Instructors and Scheduled Lectures

Instructor Samuel Lin (Section 01) Victor Churchill (Section 02)
Email samuel.z.lin AT victor.a.churchill.GR AT
Scheduled Lecture MWF 2:10-3:15 MWF 10:10-11:15

Course Structure and General Expectations

This course will be conducted completely remotely. Lectures will be pre-recorded and links to the videos will be provided on Canvas. A schedule for the upload of the lectures is forthcoming. For continuity of material across the sections, typically Instructor Lin will be delivering the lecture. As pre-recorded lectures lack the ability to ask questions or for clarification, Instructor Churchill will be available for instruction via Zoom. A schedule is forthcoming, but please do not hesitate to contact Instructor Churchill for individual help. We think of these sessions as extended office hours and/or tutorial.

  • Reading is assigned each class day according to the course schedule. These assignments are intended to help you to stay on top of the material.
  • Homework is also assigned each class day. Information about due dates and grading policies can be found below. We encourage you to discuss your grading concerns early in the term.
  • Please make ample use of the office hours via Zoom. There will be three types of office hours offered. Content review sessions more similar to a class period, one-on-one sessions, and tutorial-style sessions for homework help.
  • Prerequisite

    Math 3 or advanced placement into Math 8.


    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", by James Stewart, 8th Edition, ISBN: 978-1-285-74062-1


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

    Midterm I 5/4 M
    Final Exam 6/5 F

    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 as soon as possible.

    Homework Policy 

    1.) WeBWorK: Webwork online assignments can be found on the WeBWorK page of this class. Assignments are due every Monday, Wednesday and Friday by 10 am unless otherwise announced. The WeBWorK system will not accept late submissions unless you have made arrangements with your instructor. Your instructor can adjust your individual deadline on a particular assignment in an event of illness or family emergency. Exams etc. in other courses are not considered a valid reason to request an extension. Please plan ahead.

    2.) Written homework: Written homework assignments will be assigned weekly and will be posted on the homework page. Homework will be assigned each Friday and is due the next Friday in class. Late homework will not be accepted except in cases of extended illness. The lowest homework grade will be dropped. For the homework the Honor Principle below applies.


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

    Written homework 20%
    WeBWorK 10%
    Option 1 Option 2
    Midterm Exam 35% 30%
    Final Exam 35% 40%
  • Of the two options for the exams the one with the better score will be taken.
  • Other Outside Help

    The Honor Principle

    Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously.
    Cooperation on homework is permitted and encouraged, but you must write up your homework in your own words, reflecting your own understanding. 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.
    Further information can be found here: Honor Principle.

    Religious Observances

    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.
    A calendar of religious holidays can be found here: Religious holidays.


    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 Hall, Suite 125, 646-9900). 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.
    For further information, see Student Accessibility Services.