MIT 18.02 Multivariable Calculus - Fall 2007
35 Lectures ยท 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
Uploaded videos:
Lecture 1: Dot product
Sep 10, 2009
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18037 Views
Lecture 2: Determinants; cross product
Sep 10, 2009
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9517 Views
Lecture 3: Matrices; inverse matrices
Sep 10, 2009
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8431 Views
Lecture 4: Square systems; equations of planes
Sep 10, 2009
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6208 Views
Lecture 5: Parametric equations for lines and curves
Sep 10, 2009
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8046 Views
Lecture 6: Velocity, acceleration - Kepler's second law
Sep 10, 2009
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Lecture 7: Review
Sep 10, 2009
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4852 Views
Lecture 8: Level curves; partial derivatives; tangent plane approximation
Sep 10, 2009
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10965 Views
Lecture 9: Max-min problems; least squares
Sep 10, 2009
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7019 Views
Lecture 10: Second derivative test; boundaries and infinity
Sep 10, 2009
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Lecture 11: Differentials; chain rule
Sep 10, 2009
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Lecture 12: Gradient; directional derivative; tangent plane
Sep 10, 2009
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Lecture 13: Lagrange multipliers
Sep 10, 2009
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Lecture 14: Non-independent variables
Sep 10, 2009
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3429 Views
Lecture 15: Partial differential equations; review
Sep 10, 2009
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10408 Views
Lecture 16: Double integrals
Sep 10, 2009
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5864 Views
Lecture 17: Double integrals in polar coordinates; applications
Sep 10, 2009
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Lecture 18: Change of variables
Sep 10, 2009
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Lecture 19: Vector fields and line integrals in the plane
Sep 10, 2009
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Lecture 20: Path independence and conservative fields
Sep 10, 2009
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Lecture 21: Gradient fields and potential functions
Sep 10, 2009
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Lecture 22: Green's theorem
Sep 10, 2009
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Lecture 23: Flux; normal form of Green's theorem
Sep 10, 2009
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Lecture 24: Simply connected regions; review
Sep 10, 2009
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Lecture 25: Triple integrals in rectangular and cylindrical coordinates
Sep 10, 2009
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Lecture 26: Spherical coordinates; surface area
Sep 10, 2009
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Lecture 27: Vector fields in 3D; surface integrals and flux
Sep 10, 2009
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Lecture 28: Divergence theorem
Sep 10, 2009
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Lecture 29: Divergence theorem (cont.): applications and proof
Sep 10, 2009
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Lecture 30: Line integrals in space, curl, exactness and potentials
Sep 10, 2009
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Lecture 31: Stokes' theorem
Sep 10, 2009
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Lecture 32: Stokes' theorem (cont.); review
Sep 10, 2009
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Lecture 33: Topological considerations - Maxwell's equations
Sep 10, 2009
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Lecture 34: Final review
Sep 10, 2009
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Lecture 35: Final review (cont.)
Sep 10, 2009
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