Multivariable Calculus

The course is equivalent to a college-level Calculus 3 course. Topics include vectors and spaces in 3D, vector functions, partial derivatives, Lagrange multipliers, double and triple integrals, polar coordinates, cylindrical coordinates, spherical coordinates, vector calculus, line integrals, Green's Theorem, curl and divergence, Stoke's Theorem, and Divergence Theorem. Each week includes a live class meeting and several assignments and instructional videos to ensure that students are keeping up with the material. There are weekly office hours for those students who are seeking additional support. The course runs as two semesters: four unit tests and a midterm in the fall, four unit tests and a final paper in the spring.

To successfully complete this course, students will need access to a laptop or desktop computer with a reliable internet connection and a working webcam and microphone.

In addition, this course may require purchase of texts or other course materials.

CLI partner schools observe a wide range of calendars, including academic years which begin both before and after Labor Day. To accommodate this, yearlong courses are offered with both “August start” and “September start” options. For more information and to assist us in matching your school’s calendar, please reach out to your CLI contact.

This Fixed-Paced course incorporates a blend of synchronous and asynchronous elements. Students and teacher meet live via zoom on a regular weekly schedule. In addition, students complete coursework including guided readings, interactive videos, text and video-based discussion threads, problem sets, individual and collaborative projects, and so on. While these activities are time-flexible, teachers sequence them with weekly deadlines to help students keep on track and encourage and support the development of productive time management skills.

During the course orientation period, CLI asks students to complete a survey on their availability for live class meetings. Teachers set individual class meeting times based on student responses.