Math 20550 Calculus III (Fall 2017)
Multivariable Calculus


Textbook Information.

Stuart: Multi-variable Calculus, 8th Edition, Chapters 12-16.
How to buy the book and online homework.

Official Course Description

A comprehensive treatment of differential and integral calculus of several variables. Topics include space curves, surfaces, functions of several variables, partial derivatives, multiple integrals, line integrals, surface integrals, Stokes theorem, and applications.

A detailed syllabus may be found on the syllabus page.


Your grade is determined by the total of your scores on the required work:
Exam 1:100 points Final:150 points
Exam 2: 100 points Online homework:  40 points
Exam 3: 100 points Tutorial:  10 points
Total500 points

After each exam your Sakai gradebook will be updated to reflect your performance up to that point on the exams only.

The final grade will also include your performance on homework and in tutorial. As a general rule the addition of your performance on the homework and tutorials will slightly improve your overall performance. Roughly speaking doing 94% of the required work correctly will result in an A; doing 84% or more of the required work correctly will result in an A-, B+, or B; doing 74% or more of the required work correctly will result in a B-, C+, or C; and doing 60% or more of the required work correctly will result in a C- or a D. The plus and minuses will only be used for the final course grade.
Note that failure to do homework and attend tutorial can lower your final grade by as much as a full letter grade.

Notre Dame's midterm grades are due October 16. At that point we will have had only one exam. Hence your grade on the first exam is your Notre Dame midterm grade! We will have another exam on the Thursday after Fall Break before the drop date (October 27). It is best to use all available midterm grades when deciding to continue or drop this class.

During the course of the semester extra credit points can be earned. You can get two points each time you attend a talk (not the panel discussion) in the Math for Everyone Series. To earn these two points of extra credit you must attend the talk and afterward email a few sentence summary of the talk to your TA. If you cannot attend a particular talk, inform your TA before or immediately afterward.

Exams Dates

Old exams will be posted as we near the exam date and answers to each exam this semester will be posted after it is over.

Enhanced Web Assign (EWA) or Online Homework.

To sign up you will need a class key that you will get from your instructor.

Each EWA homework assignment has a due date and time. The due time is always 2:00am so you should view the evening of the day before as "last minute". This way, if things go badly, you have a couple of extra hours to save yourself. Also, 2:00am is determined by the clocks on the EWA servers so by 1:55 you are really on the edge. Also be aware that several assignments may have the same due date. It is your responsibility to complete each EWA homework assignment on time. You can set Webassign to send you reminders of due homework (once in Webassign, click on "notifications" on the top right on the screen).

Since homework can be done in advance and from anywhere with internet access, late homework is not accepted.

Your homework grade will be the percent correct times 40. We will drop the 3 assignments with the 3 lowest percent scores among all assignments. Since some of the most difficult material occurs at the end of the semester, it is not a good idea to not do the last few assignments if you have done well on all the ones up until then. Lack of practice may cost you points on the final.

For each homework question part, you are allowed 5 submissions for the answer. You can submit parts individually; when you wish to make a submission, click Submit Answers. You do not need to complete your homework or a question in one sitting - you may click Save Work if you wish to return to your work later. When you think you have completed an assignment, it is a good idea to make one last check to be sure that you have submitted each answer.

It is a very good idea to write out your solutions and organized them in a notebook so you have your work to review later for the exams.

The E-Book has copies of all the problems and these problems are also available to you on EWA as practice problems with no credit available. You also have the "Personal Study Plan". This provides quizzes and tutorials. Feel free to use as many of these as you find necessary for self assessment. No grades are kept.

Students may work together on homework, but you must submit your own work. Each of you may get different questions for an assignment so a correct solution for one may not be a correct solution for another. Group work will help you learn what "similar" questions look like and may help you isolate what are the important points the problem is testing. Never give your EWA password to someone else to "help" you with your homework. If you suspect your password has been compromised, change it immediately if you can and alert your instructor. Only you should enter material into your EWA account.

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There are 12 tutorials. There will be a tutorial on Thursday August 24 during which new material will be covered. Additionally, new material will be covered in tutorial on September 21. There will be no Tutorials on Exam days October 26 and November 16. The remaining tutorials will be used for worksheets and addressing issues with assigned homework. More or less you get a point for each tutorial you attend. Lack of success with a worksheet will not affect your tutorial grade but it does indicate that further work on your part is necessary to master that material. Excused absences from tutorials will not count against you. It is our experience that the failure to regularly attend tutorial radically lowers your course grade.

Honor Code

As members of the Notre Dame community, we will not tolerate academic dishonesty. The Honor Code is in effect for all exams. You may not talk about an exam to anyone who has not already taken it until the answers are posted on the website. This includes people who are not taking the course! Violations will not be tolerated and will be prosecuted! The check above for details about the Honor Code and homework.


You are expected to attend your assigned class and your assigned tutorial.

Mathematical Demos and Software

The use of mathematical software/hardware is not required but is very helpful. It is hard (but not impossible) to do the graphing problems without mathematical software/hardware. Mathematica is available for download at the OIT website. But there are lots of other free mathematical software packages available on the web. Your calculators are very powerful.

The design of this webpage is based on the MIT course web page template.