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Eligibility: CTY-level or Advanced CTY-level math score required
Prerequisites: Successful completion of AP Calculus BC or equivalent
Course Format: Individually Paced
Course Length: Typically 6 months
Recommended School Credit: One full year of high school credit equal to or greater than an AP class or one semester of college credit
Course Code: MVC
Multivariable Calculus is an online and individually-paced course that covers all topics in JHU's undergraduate Calculus III: Calculus of Several Variables course. In this course, students will extend what was learned in AB & BC Calculus and learn about the subtleties, applications, and beauty of limits, continuity, differentiation, and integration in higher dimensions. Computer-based interactives, homework and quizzes help to reinforce concepts taught in the class. Online course materials supplement the textbook.
Each student is assigned to a CTY instructor to help them during their course. Students can contact their instructor via email with any questions or concerns at any time. Live one-on-one online review sessions can be scheduled as well to prepare for the graded assessments, which include quizzes, homework, midterm exams, and a cumulative final. Instructors use virtual classroom software allowing video, voice, text, screen sharing and whiteboard interaction.
For a detailed list of topics, click the List of Topics tab.
This course does not have any synchronous class meetings, but students may schedule one-on-one virtual meetings directly with the instructor to answer questions or concerns.
Videos from YouTube or other web providers may be present in the course. Video recommendations or links provided at end of videos are generated by the video host provider and are not CTY recommendations.
For enrollment starting on or after January 1, 2019, a proctor is required for this course if the student’s goal is to obtain a grade. Please review Proctor Requirements for more details.
Students starting after June 30, 2020 do not need any special materials.
For students starting before July 1, 2020, a textbook purchase is required for this course:
Multivariable Calculus, 8th edition, by James Stewart - ISBN13: 978-1-305-26664-3
The material is also included in Calculus, 8th edition, by James Stewart - ISBN-13: 978-1-285-74062-1
Only one of the textbooks listed on this page is required for this course.
Upon successful completion of the course, students will be able to demonstrate mastery over the following topics:
This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser (such as Chrome or Firefox). The student must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.
Zoom online virtual classroom
This course uses an online virtual classroom which can be used for instructor-student communication if the student has any questions about the course or curriculum. The classroom works on standard computers with the Zoom desktop client and also tablets or handhelds that support the Zoom Mobile app. Students will need a computer with the Zoom desktop client installed to watch any recorded meetings. The Zoom desktop client and Zoom Mobile App are both available for free download.