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About Denis Auroux
Denis Auroux is a Professor in M.I.T. (Department of Mathematics). As a musician he plays piano, commonly classical music. He also is admitted as a great teacher by students all over the world largely for his course in M.I.T. ocw.
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Top Tracks
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Lecture 01: Dot product
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Lecture 02: Determinants; cross product
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Lecture 08: Level curves; partial derivatives; tangent plane approximation
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Lecture 05: Parametric equations for lines and curves
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Lecture 04: Square systems; equations of planes
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Lecture 03: Matrices; inverse matrices
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Lecture 09: Max-min problems; least squares
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Lecture 13: Lagrange multipliers
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Lecture 11: Differentials; chain rule
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Lecture 16: Double integrals
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Lecture 12: Gradient; directional derivative; tangent plane
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Lecture 19: Vector fields and line integrals in the plane
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Lecture 10: Second derivative test; boundaries and infinity
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Lecture 06: Velocity, acceleration; Kepler's second law
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Lecture 17: Double integrals in polar coordinates; applications
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Lecture 18: Change of variables
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Lecture 22: Green's theorem
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Lecture 07: Review
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Lecture 14: Non-independent variables
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Lecture 28: Divergence theorem
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Lecture 27: Vector fields in 3D; surface integrals and flux
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Lecture 15: Partial differential equations; review
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Lecture 21: Gradient fields and potential functions
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Lecture 25: Triple integrals in rectangular and cylindrical coordinates
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Lecture 20: Path independence and conservative fields
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Lecture 26: Spherical coordinates; surface area
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Lecture 31: Stokes' theorem
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Lecture 23: Flux; normal form of Green's theorem
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Lecture 35: Final review (cont.)
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Lecture 33: Topological considerations; Maxwell's equations
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Lecture 29: Divergence theorem (cont.): applications and proof
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Lecture 24: Simply connected regions; review
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Lecture 32: Stokes' theorem (cont.); review
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Lecture 34: Final review
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Chopin - Etude Op 10 No 1
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1 - Dot Product
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Debussy - Pour le Piano - Prel
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Rachmaninov - Prelude Op 23 No
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2 - Determinants; Cross Product
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Rachmaninov, Prelude Op 23 No 4
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Lecture 12 - Partial derivatives - Gradient; directional derivative; tangent plane
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3 - Matrices; Inverse Matrices
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4 - Square Systems; Equations of Planes
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