Course: MIT 18.02 Multivariable Calculus, Fall 2007 Dnatube

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Lec 1 - MIT 18.02 Multivariable Calculus ...

"Lec 1 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 01: Dot product. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 2 - MIT 18.02 Multivariable Calculus ...

"Lec 2 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 02: Determinants; cross product. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 3 - MIT 18.02 Multivariable Calculus ...

"Lec 3 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 03: Matrices; inverse matrices. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 4 - MIT 18.02 Multivariable Calculus ...

"Lec 4 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 04: Square systems; equations of planes. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 5 - MIT 18.02 Multivariable Calculus ...

"Lec 5 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 05: Parametric equations for lines and curves. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 6 - MIT 18.02 Multivariable Calculus ...

"Lec 6 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 06: Velocity, acceleration; Kepler's second law. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 7 - MIT 18.02 Multivariable Calculus ...

"Lec 7 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 07: Review. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 8 - MIT 18.02 Multivariable Calculus ...

"Lec 8 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 08: Level curves; partial derivatives; tangent plane approximation. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 9 - MIT 18.02 Multivariable Calculus ...

"Lec 9 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 09: Max-min problems; least squares. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 10 - MIT 18.02 Multivariable Calculu ...

"Lec 10 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 10: Second derivative test; boundaries and infinity. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 11 - MIT 18.02 Multivariable Calculu ...

"Lec 11 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 11: Differentials; chain rule. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 12 - MIT 18.02 Multivariable Calculu ...

"Lec 12 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 12: Gradient; directional derivative; tangent plane. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 13 - MIT 18.02 Multivariable Calcul ...

"Lec 13 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 13: Lagrange multipliers. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 14 - MIT 18.02 Multivariable Calculu ...

"Lec 14 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 14: Non-independent variables. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 15 - MIT 18.02 Multivariable Calculu ...

"Lec 15 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 15: Partial differential equations; review. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 16 - MIT 18.02 Multivariable Calculu ...

"Lec 16 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 16: Double integrals. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 17 - MIT 18.02 Multivariable Calculu ...

"Lec 17 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 17: Double integrals in polar coordinates; applications. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 18 - MIT 18.02 Multivariable Calculu ...

"Lec 18 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 18: Change of variables. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 19 - MIT 18.02 Multivariable Calculu ...

"Lec 19 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 19: Vector fields and line integrals in the plane. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 20 - MIT 18.02 Multivariable Calculu ...

"Lec 20 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 20: Path independence and conservative fields. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 21 - MIT 18.02 Multivariable Calculu ...

"Lec 21 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 21: Gradient fields and potential functions. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 22 - MIT 18.02 Multivariable Calculu ...

"Lec 22 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 22: Green's theorem. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 23 - MIT 18.02 Multivariable Calculu ...

"Lec 23 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 23: Flux; normal form of Green's theorem. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 24 - MIT 18.02 Multivariable Calculu ...

"Lec 24 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 24: Simply connected regions; review View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 25 - MIT 18.02 Multivariable Calculu ...

"Lec 25 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 25: Triple integrals in rectangular and cylindrical coordinates. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 26 - MIT 18.02 Multivariable Calculu ...

"Lec 26 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 26: Spherical coordinates; surface area. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 27 - MIT 18.02 Multivariable Calculu ...

"Lec 27 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 27: Vector fields in 3D; surface integrals and flux. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 28 - MIT 18.02 Multivariable Calculu ...

"Lec 28 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 28: Divergence theorem. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 29 - MIT 18.02 Multivariable Calculu ...

"Lec 29 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 29: Divergence theorem (cont.): applications and proof. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 30 - MIT 18.02 Multivariable Calculu ...

"Lec 30 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 30: Line integrals in space, curl, exactness and potentials. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 31 - MIT 18.02 Multivariable Calculu ...

"Lec 31 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 31: Stokes' theorem. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 32 - MIT 18.02 Multivariable Calculu ...

"Lec 32 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 32: Stokes' theorem (cont.); review. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 33 - MIT 18.02 Multivariable Calculu ...

"Lec 33 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 33: Topological considerations; Maxwell's equations. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 34 - MIT 18.02 Multivariable Calculu ...

"Lec 34 - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture 34: Final review. View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec Last - MIT 18.02 Multivariable Calcu ...

"Lec Last - MIT 18.02 Multivariable Calculus, Fall 2007" Lecture Last: Final review (cont.). View the complete course at: http://ocw.mit.edu/18-02F07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

MIT 18.02 Multivariable Calculus, Fall 2007


Source of these courses is MIT 
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.
MIT  Website: http://www.dnatube.com/school/mit

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COURSE NAME: MIT 18.02 Multivariable Calculus, Fall 2007

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