MIT 18.02 Multivariable Calculus, Fall 2007
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.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
Curated by: MIT OpenCourseWare (35 videos)
Currently Playing: Lec 24: Simply connected regions; review | MIT 18.02 Multivariable Calculus, Fall 2007
Lecture 24: Simply connected regions; review
View the complete course at: http://ocw.mit.edu/18-02SCF10
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
Tracks in this Playlist
- Lec 1: Dot product | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 5: Parametric equations for lines and curves | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 7: Review | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 8: Level curves; partial derivatives; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07
- Lec 9: Max-min problems; least squares | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 10: Second derivative test; boundaries & infinity | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 11: Differentials; chain rule | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 12: Gradient; directional derivative; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07
- Lec 13: Lagrange multipliers | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 14: Non-independent variables | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 15: Partial differential equations; review | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 16: Double integrals | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 17: Double integrals in polar coords; applications | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 18: Change of variables | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 19: Vector fields and line integrals in the plane | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 20: Path independence and conservative fields | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 21: Gradient fields and potential functions | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 22: Green's theorem | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 23: Flux; normal form of Green's theorem | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 24: Simply connected regions; review | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 25: Triple integrals in rectangular & cylindrical | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 26: Spherical coordinates; surface area | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 27: Vector fields in 3D; surface integrals & flux | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 28: Divergence theorem | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 29: Divergence theorem (cont.): applications & proof | MIT 18.02 Multivariable Calculus, Fall 07
- Lec 30: Line integrals in space, curl, exactness... | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 31: Stokes' theorem | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 32: Stokes' theorem (cont.); review | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 33: Topological considerations; Maxwell's equations | MIT 18.02 Multivariable Calculus, Fall 07
- Lec 34: Final review | MIT 18.02 Multivariable Calculus, Fall 2007
- Lec 35: Final review (cont.) | MIT 18.02 Multivariable Calculus, Fall 2007