MIT 18.02 Multivariable Calculus, Fall 2007
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44 learners
What you'll learn
This course includes
- 28.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 35 lessons • 28.3 hours of video
MIT 18.02 Multivariable Calculus, Fall 2007
35 lessons
• 28.3 hours
MIT 18.02 Multivariable Calculus, Fall 2007
35 lessons
• 28.3 hours
- Lec 1: Dot product | MIT 18.02 Multivariable Calculus, Fall 2007 38:41
- Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007 52:51
- Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007 51:05
- Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007 49:02
- Lec 5: Parametric equations for lines and curves | MIT 18.02 Multivariable Calculus, Fall 2007 50:50
- Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007 48:04
- Lec 7: Review | MIT 18.02 Multivariable Calculus, Fall 2007 49:50
- Lec 8: Level curves; partial derivatives; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07 46:13
- Lec 9: Max-min problems; least squares | MIT 18.02 Multivariable Calculus, Fall 2007 49:44
- Lec 10: Second derivative test; boundaries & infinity | MIT 18.02 Multivariable Calculus, Fall 2007 52:18
- Lec 11: Differentials; chain rule | MIT 18.02 Multivariable Calculus, Fall 2007 50:09
- Lec 12: Gradient; directional derivative; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07 50:10
- Lec 13: Lagrange multipliers | MIT 18.02 Multivariable Calculus, Fall 2007 50:10
- Lec 14: Non-independent variables | MIT 18.02 Multivariable Calculus, Fall 2007 49:11
- Lec 15: Partial differential equations; review | MIT 18.02 Multivariable Calculus, Fall 2007 45:23
- Lec 16: Double integrals | MIT 18.02 Multivariable Calculus, Fall 2007 48:00
- Lec 17: Double integrals in polar coords; applications | MIT 18.02 Multivariable Calculus, Fall 2007 51:30
- Lec 18: Change of variables | MIT 18.02 Multivariable Calculus, Fall 2007 49:55
- Lec 19: Vector fields and line integrals in the plane | MIT 18.02 Multivariable Calculus, Fall 2007 51:09
- Lec 20: Path independence and conservative fields | MIT 18.02 Multivariable Calculus, Fall 2007 50:23
- Lec 21: Gradient fields and potential functions | MIT 18.02 Multivariable Calculus, Fall 2007 50:11
- Lec 22: Green's theorem | MIT 18.02 Multivariable Calculus, Fall 2007 46:45
- Lec 23: Flux; normal form of Green's theorem | MIT 18.02 Multivariable Calculus, Fall 2007 50:13
- Lec 24: Simply connected regions; review | MIT 18.02 Multivariable Calculus, Fall 2007 49:00
- Lec 25: Triple integrals in rectangular & cylindrical | MIT 18.02 Multivariable Calculus, Fall 2007 48:42
- Lec 26: Spherical coordinates; surface area | MIT 18.02 Multivariable Calculus, Fall 2007 51:05
- Lec 27: Vector fields in 3D; surface integrals & flux | MIT 18.02 Multivariable Calculus, Fall 2007 50:34
- Lec 28: Divergence theorem | MIT 18.02 Multivariable Calculus, Fall 2007 49:16
- Lec 29: Divergence theorem (cont.): applications & proof | MIT 18.02 Multivariable Calculus, Fall 07 50:13
- Lec 30: Line integrals in space, curl, exactness... | MIT 18.02 Multivariable Calculus, Fall 2007 49:42
- Lec 31: Stokes' theorem | MIT 18.02 Multivariable Calculus, Fall 2007 48:21
- Lec 32: Stokes' theorem (cont.); review | MIT 18.02 Multivariable Calculus, Fall 2007 50:09
- Lec 33: Topological considerations; Maxwell's equations | MIT 18.02 Multivariable Calculus, Fall 07 28:39
- Lec 34: Final review | MIT 18.02 Multivariable Calculus, Fall 2007 43:54
- Lec 35: Final review (cont.) | MIT 18.02 Multivariable Calculus, Fall 2007 48:52
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