# Multivariable Calculus

### MATH212

Partial differentiation, multiple integrals, and topics in differential and integral vector calculus, including Green's theorem, the divergence theorem, and Stokes's theorem. Not open to students who have taken Mathematics 202 or 222. Instructor: Staff. One course.

**Textbook: ***Calculus*, 6th edition by Edwards and Penney

**Prerequisites:** Credit for Math 112L, Math 122L, or Math 122. See Additional Notes below.

**Syllabus:** Spring 2019 Syllabus

**Additional Homework Problems:** PDF Version

**Help Room:** See schedule

**Sakai: **

**Joint site:**There is a Sakai site for all sections of Math 212. If you are enrolled in any section of Math 212, then a link to the joint site should appear in your Sakai account. Announcements, and other items that pertain to all sections, will be posted there.**Individual section site:**Each teacher has the option of setting up a Sakai account for his/her individual section(s). If your teacher has activated such a site, it will appear in your Sakai account as a separate link apart from the joint site.

**Supplementary Material:**

- Witelski's Vector Summary Sheet PDF Version
- Witelski's Integration Summary Sheet PDF Version
- Vectors PDF Version
- Functions and Relations PDF Version
- Differentiation with respect to a coordinate PDF Version
- Curves PDF Version
- The differential PDF Version
- n-coordinates PDF Version
- Equality of mixed partial derivatives PDF Version
- Green's Theorem PDF Version
- Flow of a Vector Field PDF Version
- Summary of the basic integral theorems of vector calculus PDF Version

##### Additional Notes

Math 212 is usually offered in Fall, Spring and Summer terms. Math 212 or Math 222 is a prerequisite for the mathematics major.

Enrollment in Math 212 requires credit for second semester calculus (Math 22, 112L, 122L, or 122) on your Duke transcript.

If you have AP or international placement exam scores that you expect to result in AP or IPC credit for Math 22 but have not reported the scores yet, you should do that ASAP to result in the Math 22 credit needed for enrollment in this course. If you have taken a second-semester calculus course that you hope will result in PMC or transfer credit for Math 122, you should likewise begin that process ASAP.

If you have a very strong background in second semester calculus that you feel is equivalent to the level of our Math 122L, but do not have such credit on your Duke transcript, and if you would like to be considered for an exemption from the second semester calculus prerequisite, you may take our "Math 122L Proficiency Exam"; students who do well on this exam will be granted permission to enroll in Math 212, at the discretion of the Supervisor of First-Year Instruction.

This exam is offered each semester shortly before the first day of classes. Click here to REGISTER for this exam; date/time details will be sent to registered students by email. Students registering for this exam are encouraged to enroll in Math 122L (in the Fall; or Math 112L in the Spring) for the moment, as this would be the correct course choice in the event of not performing sufficiently on this exam.