MIT 18.02 Multivariable Calculus - Fall 2007

author: Denis Auroux, Center for Future Civic Media, Massachusetts Institute of Technology, MIT
recorded by: Massachusetts Institute of Technology, MIT
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)

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.

Course Homepage: 18.02 Multivariable Calculus Fall 2007

Course features at MIT OpenCourseWare page:

Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET

Categories

Top » Mathematics » Calculus


[syn] 18013 views, 38:41 Lecture 1: Dot productLecture 1: Dot product Denis Auroux Denis Auroux 2 comments	[syn] 9508 views, 52:51 Lecture 2: Determinants; cross productLecture 2: Determinants; cross product Denis Auroux Denis Auroux	[syn] 8424 views, 51:04 Lecture 3: Matrices; inverse matricesLecture 3: Matrices; inverse matrices Denis Auroux Denis Auroux 1 comment	[syn] 6199 views, 49:03 Lecture 4: Square systems; equations of planesLecture 4: Square systems; equations of planes Denis Auroux Denis Auroux	[syn] 8005 views, 50:50 Lecture 5: Parametric equations for lines and curvesLecture 5: Parametric equations for lines and curves Denis Auroux Denis Auroux
[syn] 5860 views, 48:04 Lecture 6: Velocity, acceleration - Kepler's second lawLecture 6: Velocity, acceleration - Kepler's second law Denis Auroux Denis Auroux 2 comments	[syn] 4847 views, 49:50 Lecture 7: ReviewLecture 7: Review Denis Auroux Denis Auroux	[syn] 10948 views, 46:12 Lecture 8: Level curves; partial derivatives; tangent plane approximationLecture 8: Level curves; partial derivatives; tangent plane approximation Denis Auroux Denis Auroux	[syn] 7011 views, 49:44 Lecture 9: Max-min problems; least squaresLecture 9: Max-min problems; least squares Denis Auroux Denis Auroux 2 comments	[syn] 4782 views, 52:17 Lecture 10: Second derivative test; boundaries and infinityLecture 10: Second derivative test; boundaries and infinity Denis Auroux Denis Auroux 2 comments
[syn] 5712 views, 50:09 Lecture 11: Differentials; chain ruleLecture 11: Differentials; chain rule Denis Auroux Denis Auroux 3 comments	[syn] 6190 views, 50:09 Lecture 12: Gradient; directional derivative; tangent planeLecture 12: Gradient; directional derivative; tangent plane Denis Auroux Denis Auroux	[syn] 6607 views, 50:11 Lecture 13: Lagrange multipliersLecture 13: Lagrange multipliers Denis Auroux Denis Auroux 1 comment	[syn] 3428 views, 49:11 Lecture 14: Non-independent variablesLecture 14: Non-independent variables Denis Auroux Denis Auroux	[syn] 10401 views, 45:22 Lecture 15: Partial differential equations; reviewLecture 15: Partial differential equations; review Denis Auroux Denis Auroux
[syn] 5853 views, 47:59 Lecture 16: Double integralsLecture 16: Double integrals Denis Auroux Denis Auroux 1 comment	[syn] 4918 views, 51:29 Lecture 17: Double integrals in polar coordinates; applicationsLecture 17: Double integrals in polar coordinates; applications Denis Auroux Denis Auroux 2 comments	[syn] 3877 views, 49:55 Lecture 18: Change of variablesLecture 18: Change of variables Denis Auroux Denis Auroux	[syn] 5491 views, 51:10 Lecture 19: Vector fields and line integrals in the planeLecture 19: Vector fields and line integrals in the plane Denis Auroux Denis Auroux	[syn] 4007 views, 50:22 Lecture 20: Path independence and conservative fieldsLecture 20: Path independence and conservative fields Denis Auroux Denis Auroux
[syn] 4520 views, 50:11 Lecture 21: Gradient fields and potential functionsLecture 21: Gradient fields and potential functions Denis Auroux Denis Auroux 1 comment	[syn] 5097 views, 46:44 Lecture 22: Green's theoremLecture 22: Green's theorem Denis Auroux Denis Auroux	[syn] 4441 views, 50:12 Lecture 23: Flux; normal form of Green's theoremLecture 23: Flux; normal form of Green's theorem Denis Auroux Denis Auroux	[syn] 2981 views, 49:01 Lecture 24: Simply connected regions; reviewLecture 24: Simply connected regions; review Denis Auroux Denis Auroux	[syn] 4097 views, 48:41 Lecture 25: Triple integrals in rectangular and cylindrical coordinatesLecture 25: Triple integrals in rectangular and cylindrical coordinates Denis Auroux Denis Auroux
[syn] 4150 views, 51:04 Lecture 26: Spherical coordinates; surface areaLecture 26: Spherical coordinates; surface area Denis Auroux Denis Auroux	[syn] 4437 views, 50:34 Lecture 27: Vector fields in 3D; surface integrals and fluxLecture 27: Vector fields in 3D; surface integrals and flux Denis Auroux Denis Auroux	[syn] 4615 views, 49:15 Lecture 28: Divergence theoremLecture 28: Divergence theorem Denis Auroux Denis Auroux 1 comment	[syn] 4202 views, 50:12 Lecture 29: Divergence theorem (cont.): applications and proofLecture 29: Divergence theorem (cont.): applications and proof Denis Auroux Denis Auroux	[syn] 3780 views, 49:41 Lecture 30: Line integrals in space, curl, exactness and potentialsLecture 30: Line integrals in space, curl, exactness and potentials Denis Auroux Denis Auroux
[syn] 5723 views, 48:20 Lecture 31: Stokes' theoremLecture 31: Stokes' theorem Denis Auroux Denis Auroux	[syn] 3421 views, 50:08 Lecture 32: Stokes' theorem (cont.); reviewLecture 32: Stokes' theorem (cont.); review Denis Auroux Denis Auroux 1 comment	[syn] 3920 views, 28:38 Lecture 33: Topological considerations - Maxwell's equationsLecture 33: Topological considerations - Maxwell's equations Denis Auroux Denis Auroux	[syn] 2629 views, 43:53 Lecture 34: Final reviewLecture 34: Final review Denis Auroux Denis Auroux	[syn] 2753 views, 48:52 Lecture 35: Final review (cont.)Lecture 35: Final review (cont.) Denis Auroux Denis Auroux

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