This course is a sequel to Math 8 and provides an introduction to calculus of vector-valued functions. Topics include differentiation and integration of parametrically defined functions with interpretations of velocity, acceleration, arc length and curvature. Other topics include iterated, double, triple and surface integrals including change of coordinates. The remainder of the course is devoted to vector fields, line integrals, Green's theorem, curl and divergence, and Stokes' theorem.

Prerequisites:

Math 8 or equivalent.

Lecture Information:

Teaching Assistants:

Textbook:

The course shall use two textbooks in addition to online materials found on this site. You will only need one of the texts, not both.

"Openstax Calculus Volume 3", a free learning resource provided by Rice University. It is strongly recommended that students consider this before spending money on a textbook.

"Calculus Early Transcendentals Multivariable", by Rogawski & Adams, 3rd Edition, ISBN: 978-1464171758

Daily Schedule:

See this daily schedule of the topics covered for each lecture day, with the correspondence between sections in OpenStax and sections Rogawski–Adams for each topic. Lecture notes, if any, will also be posted there.

Exam:

There will be a midterm exam and a cumulative final exam. Unless otherwise stated, all exams are to be completed without any outside assistance, including but not limited to communicating with other people, electronics, the internet, calculators, or notes.

Please see this page on more information on the exams, including policy on calculators, outside assistance, and rescheduling.

Homework:

Homework will consist of short WebWork problem sets assigned each lecture day (due two lecture days later), and longer written assignments assigned weekly (due Thursdays). Collaborating with and assisting your fellow students is strongly encouraged, however all students must submit their own work.

Calculators are allowed on homework, but be aware that they will not be allowed during exams. For written assignments, you are required to show your work for full credit.

Please see this page on more information on both WeBWork and the written assignments. For solutions to past assignments, visit this page.

TA Activities:

The TAs will facilitate three different kinds of activities: weekly TA study groups, weekly TA office hours, and TA midterm exam review sessions. All of these activities are optional, but attendance is highly encouraged. These activities will begin on 1/09 (Sun).

Please see this page for details for these activities.

Grading:

Additional Pages:

1. Daily Schedule
2. Exams
3. Homework
4. TA Activities
5. Academic Honor Principle
6. Helpful Learning Resources
7. COVID-19 Information
8. Accessibility
9. Mental Health
10. Consent Regarding Recordings