Suggested preparation: Single-variable calculus and introductory vector mathematics.
About this course
Practice multivariable calculus through MIT's worked-problem videos. The collection supports revision of vectors, partial derivatives and integration in several variables alongside a lecture-based course.
Topics and lesson examples
- Coordinate free proofs: centroid of a triangle
- Level curves
- Integrals with density
- Volume in cylindrical coordinates
- Consequences of Stokes' Theorem
Course at a glance
| Provider | MIT |
|---|---|
| Platform | YouTube · MIT OpenCourseWare |
| Access | Free Video |
| Level | Intermediate — WikiFree study-level assessment |
| Language | English |
| Available lessons | 70 |
| Video duration | 13h 9m · self-paced |
| Details checked | 10 October 2026 |
Preparation and study approach
Suggested preparation: Single-variable calculus and introductory vector mathematics.
Follow the available videos in sequence, pausing to summarize the main argument or reconstruct a worked example. Keep a short list of assumptions, unfamiliar terms and questions to revisit. Additional reading, problem solving and practice will take time beyond the listed video duration.
Using this video classroom
Select a lesson from the list, or search for a topic. Previous and Next move through the sequence. You can mark lessons complete; progress is stored in this browser without a WikiFree account.
Free access and course scope
The public MIT OpenCourseWare videos in this classroom are free to watch. This listing provides the available playlist recordings, which may include selected lectures, recitations, demonstrations or supporting discussions rather than every component of the original campus course. Textbooks, equipment, software licenses, supervised labs, graded assignments and instructor feedback are not supplied by WikiFree. No purchase is required to watch the videos or use the note-based study approach above.
WikiFree independently organizes these resources for self-paced study. Watching does not award an MIT certificate, academic credit or admission to MIT.
Video provider and credit: MIT OpenCourseWare on YouTube. WikiFree titles, descriptions and cover artwork are independently prepared.
Related courses for your next step
- Compare another approachFree MIT Course: Single-Variable Calculus Problem-Solving Practice
Focus: Recitation Introduction for MIT 18.01SC, 18.02SC · Minimum Triangle Area
Intermediate - Explore a higher-level optionMultivariable Calculus: Free Course
Focus: Multivariable functions · Partial derivatives
Professional - Compare another approachFree MIT Course: Multivariable Calculus: Vectors, Derivatives and Integrals
Focus: Lec 2: Determinants; cross product · Lec 9: Max-min problems; least squares
Intermediate
Compare course focus, level and study time
| Course | Level | Focus | Study time |
|---|---|---|---|
| This course — Free MIT Course: Multivariable Calculus Problem-Solving Practice | Intermediate | Coordinate free proofs: centroid of a triangle · Level curves · Integrals with density | 13h 9m of video; practice time is additional |
| Free MIT Course: Single-Variable Calculus Problem-Solving Practice | Intermediate | Recitation Introduction for MIT 18.01SC, 18.02SC · Minimum Triangle Area · Second fundamental theorem and quadratic approximation | 14h 20m of video; practice time is additional |
| Multivariable Calculus: Free Course | Professional | Multivariable functions · Partial derivatives · Gradients | 24h 18m of video; practice time is additional |
| Free MIT Course: Multivariable Calculus: Vectors, Derivatives and Integrals | Intermediate | Lec 2: Determinants; cross product · Lec 9: Max-min problems; least squares · Lec 22: Green's theorem | 28h 20m of video; practice time is additional |
Provider: MIT. Videos play from the MIT OpenCourseWare channel on YouTube.
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