Multivariable Calculus, Spring 2007
By Prof. Denis Auroux
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Description
This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
| 1 | VideoLecture 01: Dot product | -- | 7/6/2015 | Free | View in iTunes |
| 2 | VideoLecture 02: Determinants; cross product | -- | 7/6/2015 | Free | View in iTunes |
| 3 | VideoLecture 03: Matrices; inverse matrices | -- | 7/6/2015 | Free | View in iTunes |
| 4 | VideoLecture 04: Square systems; equations of planes | -- | 7/6/2015 | Free | View in iTunes |
| 5 | VideoLecture 05: Parametric equations for lines and curves | -- | 7/6/2015 | Free | View in iTunes |
| 6 | VideoLecture 06: Velocity, acceleration; Kepler's second law | -- | 7/6/2015 | Free | View in iTunes |
| 7 | VideoLecture 07: Review | -- | 7/6/2015 | Free | View in iTunes |
| 8 | VideoLecture 08: Level curves; partial derivatives; tangent plane approximation | -- | 7/6/2015 | Free | View in iTunes |
| 9 | VideoLecture 09: Max-min problems; least squares | -- | 7/6/2015 | Free | View in iTunes |
| 10 | VideoLecture 10: Second derivative test; boundaries and infinity | -- | 7/6/2015 | Free | View in iTunes |
| 11 | VideoLecture 11: Differentials; chain rule | -- | 7/6/2015 | Free | View in iTunes |
| 12 | VideoLecture 12: Gradient; directional derivative; tangent plane | -- | 7/6/2015 | Free | View in iTunes |
| 13 | VideoLecture 13: Lagrange multipliers | -- | 7/6/2015 | Free | View in iTunes |
| 14 | VideoLecture 14: Non-independent variables | -- | 7/6/2015 | Free | View in iTunes |
| 15 | VideoLecture 15: Partial differential equations; review | -- | 7/6/2015 | Free | View in iTunes |
| 16 | VideoLecture 16: Double integrals | -- | 7/6/2015 | Free | View in iTunes |
| 17 | VideoLecture 17: Double integrals in polar coordinates; applications | -- | 7/6/2015 | Free | View in iTunes |
| 18 | VideoLecture 18: Change of variables | -- | 7/6/2015 | Free | View in iTunes |
| 19 | VideoLecture 19: Vector fields and line integrals in the plane | -- | 7/6/2015 | Free | View in iTunes |
| 20 | VideoLecture 20: Path independence and conservative fields | -- | 7/6/2015 | Free | View in iTunes |
| 21 | VideoLecture 21: Gradient fields and potential functions | -- | 7/6/2015 | Free | View in iTunes |
| 22 | VideoLecture 21: Gradient fields and potential functions | -- | 7/6/2015 | Free | View in iTunes |
| 23 | VideoLecture 22: Green's theorem | -- | 7/6/2015 | Free | View in iTunes |
| 24 | VideoLecture 23: Flux; normal form of Green's theorem | -- | 7/6/2015 | Free | View in iTunes |
| 25 | VideoLecture 24: Simply connected regions; review | -- | 7/6/2015 | Free | View in iTunes |
| 26 | VideoLecture 25: Triple integrals in rectangular and cylindrical coordinates | -- | 7/6/2015 | Free | View in iTunes |
| 27 | VideoLecture 26: Spherical coordinates; surface area | -- | 7/6/2015 | Free | View in iTunes |
| 28 | VideoLecture 27: Vector fields in 3D; surface integrals and flux | -- | 7/6/2015 | Free | View in iTunes |
| 29 | VideoLecture 28: Divergence theorem | -- | 7/6/2015 | Free | View in iTunes |
| 30 | VideoLecture 29: Divergence theorem (cont | -- | 7/6/2015 | Free | View in iTunes |
| 31 | VideoLecture 30: Line integrals in space, curl, exactness and potentials | -- | 7/6/2015 | Free | View in iTunes |
| 32 | VideoLecture 31: Stokes' theorem | -- | 7/6/2015 | Free | View in iTunes |
| 33 | VideoLecture 32: Stokes' theorem (cont | -- | 7/6/2015 | Free | View in iTunes |
| 34 | VideoLecture 33: Topological considerations; Maxwell's equations | -- | 7/6/2015 | Free | View in iTunes |
| 35 | VideoLecture 34: Final review | -- | 7/6/2015 | Free | View in iTunes |
| 36 | VideoLecture 35: Final review (cont | -- | 7/6/2015 | Free | View in iTunes |
| 36 Items |
Customer Reviews
Good professor, filmed well
Dennis Auroux presents multivariate calc in a clear and easy to follow format.
He makes sure important topics are well understood by examples, etc.
Last but not least, by the time they were filming this (as opposed to some of their earlier releases), MIT seems to have figured out how to film well; the good filming really makes these lectures easy to follow.
This app is absolutely amazing
I just discovered this app, and I'm absolutely stunned by the variety of courses and material this app offers. I can search up almost any course I take right now or a future course I plan to take and the app comes up with a wide selection of collections and lectures to choose from. And the best part is that it's all free! This is absolutely amazing. One of the best apps I've seen. Every student should have this app downloaded!
Great !!
After finding these videos, I decided not to go for lecture and still got A. Great explanation. Thank you .
