Math 222: Multivariable Calculus

Instructor: Constance Leidy
Time: Section 1: Mondays and Wednesdays 1:10-2:30pm
           Section 2: Mondays and Wednesdays 2:40-4:00pm
Location: Exley Science Center 137
Book: Multivariable Calculus, Seventh Edition by James Stewart
E-Mail Address:
Office: Exley Science Center 641
Office Hours: Tuesdays, 2:30-3:30pm; Fridays, 12:00-1:00pm
Course Assistants: Oscar Takabvirwa and Julia Thomsen
Homework Sessions: Sundays and Tuesdays, 7:00-8:30pm in Exley 137
Help Sessions: Mondays and Wednesdays, 12:00-1:00pm in Exley 139

Course Description

This course treats the basic aspects of differential and integral calculus of functions of several real values, with emphasis on the development of computational skills. The areas covered include scalar- and vector-valued functions of several variables, their derivatives, and their integrals; the nature of extremal values of such functions and methods for calculating these values; and the theorems of Green and Stokes.


Homework is an important part of any math class. It is important that you practice working on problems. This will help you to understand the material better and will prepare you for the exams. You are encouraged to discuss the homework, and to work together on the problems. However each student is responsible for the final preparation of his or her own homework papers.

Homework will be assigned at the end of every class. It will also be posted on the website:

It is due the following class. If for some reason you miss class or cannot turn in the homework during class, you have until 5pm that day to put it in your TA's mailbox in the Math Lounge on the sixth floor of the Exley Science Center. After that time, late homework will not be accepted. Homework due on Monday should be put in Oscar's box. Homework due on Wednesday should be put in Julia's box.

After the homework is submitted, solutions will be posted on Moodle, which can be accessed through your portfolio.

Homework Sessions and Help Sessions

The course assistants will run evening homework sessions on Sundays and Tuesdays from 7:00 to 8:30pm in Exley 137. This is a great place to work with other students on the homework, and I encourage you to make it a regular part of your weekly schedule. The course assistants will be available to answer questions that you may have while working on the homework.

Occasionally, you may have some last minute questions about the homework the day that it is due. To answer these, I will be available at an extra help session on Mondays and Wednesdays 12:00-1:00pm in Exley 139. (Due to some faculty meeting conflicts, this extra session will occasionally be cancelled. I will notify you by email when this happens.)

The Math Workshop

The Math Workshop is located in the Science Library in the main floor conference room. It is open most afternoons and evenings. There are always two staff members on duty, who may be either experienced undergraduates or math graduate students. This is a drop-in tutoring service, available to all members of the Wesleyan community. Staff members provide a friendly, relaxed atmosphere while answering questions about mathematics. The workshop is a good place to go when you get stuck on your math homework.

Office Hours

Sometimes it is helpful to have one-on-one conversations, which is not really possible during the scheduled class time. This is the purpose of office hours. I will hold office hours Tuesdays 2:30-3:30pm and Fridays 12:00-1:00pm. If you cannot make these, feel free to email me at to make an appointment for a different time.


Technology can be a useful tool when learning mathematics. This is especially true for multivariable calculus where technology can substantially aid visualizing 3-dimensional objects. During lectures, I will occasionally use a software package called Mathematica. Some of the homework problems that I will assign will also require Mathematica. It is available in the computer labs on campus, and is also available for download. (See download instructions here.) I do not recommend buying a graphing calculator solely for the purpose of this class.

Although technology can be a useful tool, it is important that you do not become depend on it. For this reason (as well as some logistical reasons), you may not use calculators during exams.


Two midterms and a final will be given. The exams will be given in the evening in Exley 121. If you have a conflict with an exam time, let me know at least one week in advance so that we can arrange an alternative exam time.

  • Midterm 1 - Thursday, October 20, 7:00-9:00pm in Exley 121
  • Midterm 2 - Thursday, December 1, 7:00-9:00pm in Exley 121
  • Final - Thursday, December 15, 7:00-10:00pm in Exley 121

  • Course Grade Determination

    Your grades will be recorded on Moodle, which can be accessed through your portfolio. The course grade will be computed as follows:

  • Homework - 15% (the lowest two homework grades will be dropped)
  • Midterm 1 - 25%
  • Midterm 2 - 25%
  • Final - 35%
  • On the last day of class, I will email you your pre-final grade. If you are content with this grade, you can decide to opt out of the final and take this as your course grade.

    There will also be some opportunities for extra credit.

    Students with Disabilites

    It is the policy of Wesleyan University to provide reasonable accommodations to students with documented disabilities. Students, however, are responsible for registering with Disabilities Services, in addition to making requests known to me in a timely manner. If you require accommodations in this class, please make an appointment with me during the first two weeks of class, so that appropriate arrangements can be made. All discussions will remain confidential. Students with disabilities should also contact Dean Lazare. Please see for more information.