MIT 18.02 Multivariable Calculus - Fall 2007
35 Videos · Sep 3, 2007
About
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: *Syllabus *Calendar *Readings *Lecture Notes *Assignments *Download Tools *Download this Course
Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET
Videos
Lecture 9: Max-min problems; least squares
Sep 10, 2009
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7023 views
Lecture 22: Green's theorem
Sep 10, 2009
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5105 views
Lecture 13: Lagrange multipliers
Sep 10, 2009
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6621 views
Lecture 1: Dot product
Sep 10, 2009
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18041 views
Lecture 33: Topological considerations - Maxwell's equations
Sep 10, 2009
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4036 views
Lecture 20: Path independence and conservative fields
Sep 10, 2009
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4013 views
Lecture 31: Stokes' theorem
Sep 10, 2009
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5729 views
Lecture 2: Determinants; cross product
Sep 10, 2009
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9522 views
Lecture 15: Partial differential equations; review
Sep 10, 2009
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10410 views
Lecture 29: Divergence theorem (cont.): applications and proof
Sep 10, 2009
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4211 views
Lecture 35: Final review (cont.)
Sep 10, 2009
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2764 views
Lecture 18: Change of variables
Sep 10, 2009
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3882 views
Lecture 26: Spherical coordinates; surface area
Sep 10, 2009
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4159 views
Lecture 14: Non-independent variables
Sep 10, 2009
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3432 views
Lecture 25: Triple integrals in rectangular and cylindrical coordinates
Sep 10, 2009
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4105 views
Lecture 17: Double integrals in polar coordinates; applications
Sep 10, 2009
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4924 views
Lecture 30: Line integrals in space, curl, exactness and potentials
Sep 10, 2009
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3786 views
Lecture 11: Differentials; chain rule
Sep 10, 2009
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5718 views
Lecture 12: Gradient; directional derivative; tangent plane
Sep 10, 2009
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6202 views
Lecture 3: Matrices; inverse matrices
Sep 10, 2009
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8437 views
Lecture 4: Square systems; equations of planes
Sep 10, 2009
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6224 views
Lecture 19: Vector fields and line integrals in the plane
Sep 10, 2009
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5495 views
Lecture 5: Parametric equations for lines and curves
Sep 10, 2009
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8051 views
Lecture 10: Second derivative test; boundaries and infinity
Sep 10, 2009
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4796 views
Lecture 8: Level curves; partial derivatives; tangent plane approximation
Sep 10, 2009
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10979 views
Lecture 16: Double integrals
Sep 10, 2009
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5866 views
Lecture 34: Final review
Sep 10, 2009
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2634 views
Lecture 27: Vector fields in 3D; surface integrals and flux
Sep 10, 2009
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4448 views
Lecture 6: Velocity, acceleration - Kepler's second law
Sep 10, 2009
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5895 views
Lecture 28: Divergence theorem
Sep 10, 2009
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4621 views
Lecture 23: Flux; normal form of Green's theorem
Sep 10, 2009
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4451 views
Lecture 7: Review
Sep 10, 2009
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4854 views
Lecture 32: Stokes' theorem (cont.); review
Sep 10, 2009
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3425 views
Lecture 24: Simply connected regions; review
Sep 10, 2009
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2997 views
Lecture 21: Gradient fields and potential functions
Sep 10, 2009
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4528 views