Multivariable Calculus, Spring 2007

Multivariable Calculus, Spring 2007

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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 t…

Prof. Denis Auroux


    • Jul 6, 2015 LATEST EPISODE
    • infrequent NEW EPISODES
    • 48m AVG DURATION
    • 36 EPISODES


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    Latest episodes from Multivariable Calculus, Spring 2007

    Lecture 30: Line integrals in space, curl, exactness and potentials

    Play Episode Listen Later Jul 6, 2015 49:41


    Lecture 35: Final review (cont

    Play Episode Listen Later Jul 6, 2015 48:52


    Lecture 33: Topological considerations; Maxwell's equations

    Play Episode Listen Later Jul 6, 2015 28:39


    Lecture 34: Final review

    Play Episode Listen Later Jul 6, 2015 43:53


    Lecture 32: Stokes' theorem (cont

    Play Episode Listen Later Jul 6, 2015 50:13


    Lecture 31: Stokes' theorem

    Play Episode Listen Later Jul 6, 2015 48:25


    Lecture 26: Spherical coordinates; surface area

    Play Episode Listen Later Jul 6, 2015 51:05


    Lecture 24: Simply connected regions; review

    Play Episode Listen Later Jul 6, 2015 50:00


    Lecture 25: Triple integrals in rectangular and cylindrical coordinates

    Play Episode Listen Later Jul 6, 2015 48:42


    Lecture 27: Vector fields in 3D; surface integrals and flux

    Play Episode Listen Later Jul 6, 2015 50:34


    Lecture 29: Divergence theorem (cont

    Play Episode Listen Later Jul 6, 2015 50:13


    Lecture 28: Divergence theorem

    Play Episode Listen Later Jul 6, 2015 49:15


    Lecture 23: Flux; normal form of Green's theorem

    Play Episode Listen Later Jul 6, 2015 50:13


    Lecture 22: Green's theorem

    Play Episode Listen Later Jul 6, 2015 46:49


    Lecture 21: Gradient fields and potential functions

    Play Episode Listen Later Jul 6, 2015 50:11


    Lecture 21: Gradient fields and potential functions

    Play Episode Listen Later Jul 6, 2015 50:11


    Lecture 20: Path independence and conservative fields

    Play Episode Listen Later Jul 6, 2015 50:27


    Lecture 19: Vector fields and line integrals in the plane

    Play Episode Listen Later Jul 6, 2015 51:13


    Lecture 18: Change of variables

    Play Episode Listen Later Jul 6, 2015 49:55


    Lecture 14: Non-independent variables

    Play Episode Listen Later Jul 6, 2015 49:10


    Lecture 16: Double integrals

    Play Episode Listen Later Jul 6, 2015 47:59


    Lecture 17: Double integrals in polar coordinates; applications

    Play Episode Listen Later Jul 6, 2015 51:34


    Lecture 15: Partial differential equations; review

    Play Episode Listen Later Jul 6, 2015 45:23


    Lecture 13: Lagrange multipliers

    Play Episode Listen Later Jul 6, 2015 50:10


    Lecture 12: Gradient; directional derivative; tangent plane

    Play Episode Listen Later Jul 6, 2015 50:10


    Lecture 08: Level curves; partial derivatives; tangent plane approximation

    Play Episode Listen Later Jul 6, 2015 46:13


    Lecture 09: Max-min problems; least squares

    Play Episode Listen Later Jul 6, 2015 49:48


    Lecture 07: Review

    Play Episode Listen Later Jul 6, 2015 49:50


    Lecture 11: Differentials; chain rule

    Play Episode Listen Later Jul 6, 2015 50:09


    Lecture 10: Second derivative test; boundaries and infinity

    Play Episode Listen Later Jul 6, 2015 52:18


    Lecture 02: Determinants; cross product

    Play Episode Listen Later Jul 6, 2015 52:51


    lecture determinants cross product
    Lecture 06: Velocity, acceleration; Kepler's second law

    Play Episode Listen Later Jul 6, 2015 48:04


    Lecture 03: Matrices; inverse matrices

    Play Episode Listen Later Jul 6, 2015 51:08


    Lecture 01: Dot product

    Play Episode Listen Later Jul 6, 2015 38:44


    Lecture 05: Parametric equations for lines and curves

    Play Episode Listen Later Jul 6, 2015 50:50


    Lecture 04: Square systems; equations of planes

    Play Episode Listen Later Jul 6, 2015 49:02


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