Denis Auroux Professor of Mathematics Massachusetts Institute of Technology

Denis Auroux

Professor of Mathematics
Massachusetts Institute of Technology

Courses

  1. Multivariable Calculus Course

    Multivariable Calculus

    MIT / Mathematics
    Denis Auroux

Lectures

  1. Double Integrals Lecture
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    Double Integrals

    MIT / Mathematics
    Denis Auroux
  2. Non-Independent Variables Lecture
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    Non-Independent Variables

    MIT / Mathematics
    Denis Auroux
  3. Partial Differential Equations; Review Lecture
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    Partial Differential Equations; Review

    MIT / Mathematics
    Denis Auroux
  4. Lagrange Multipliers Lecture
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    Lagrange Multipliers

    MIT / Mathematics
    Denis Auroux
  5. Differentials; Chain Rule Lecture
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    Differentials; Chain Rule

    MIT / Mathematics
    Denis Auroux
  6. Gradient; Directional Derivative; Tangent Plane Lecture
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    Gradient; Directional Derivative; Tangent Plane

    MIT / Mathematics
    Denis Auroux
  7. Second Derivative Test; Boundaries and Infinity Lecture
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    Second Derivative Test; Boundaries and Infinity

    MIT / Mathematics
    Denis Auroux
  8. Max-Min Problems; Least Squares Lecture
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    Max-Min Problems; Least Squares

    MIT / Mathematics
    Denis Auroux
  9. Level Curves; Partial Derivatives; Tangent Plane Approximation Lecture
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    Level Curves; Partial Derivatives; Tangent Plane Approximation

    MIT / Mathematics
    Denis Auroux
  10. Parametric Equations for Lines and Curves Lecture
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    Parametric Equations for Lines and Curves

    MIT / Mathematics
    Denis Auroux
  11. Review: Vectors and Matrices Lecture
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    Review: Vectors and Matrices

    MIT / Mathematics
    Denis Auroux
  12. Velocity, Acceleration - Kepler's Second Law Lecture
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    Velocity, Acceleration - Kepler's Second Law

    MIT / Mathematics
    Denis Auroux
  13. Square Systems; Equations of Planes Lecture
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    Square Systems; Equations of Planes

    MIT / Mathematics
    Denis Auroux
  14. Matrices; Inverse Matrices Lecture
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    Matrices; Inverse Matrices

    MIT / Mathematics
    Denis Auroux
  15. Determinants; Cross Product Lecture
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    Determinants; Cross Product

    MIT / Mathematics
    Denis Auroux
  16. Dot Product Lecture
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    Dot Product

    MIT / Mathematics
    Denis Auroux
  17. Double Integrals in Polar Coordinates; Applications Lecture
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    Double Integrals in Polar Coordinates; Applications

    MIT / Mathematics
    Denis Auroux
  18. Change of Variables Lecture
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    Change of Variables

    MIT / Mathematics
    Denis Auroux
  19. Vector Fields and Line Integrals in the Plane Lecture
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    Vector Fields and Line Integrals in the Plane

    MIT / Mathematics
    Denis Auroux
  20. Path Independence and Conservative Fields Lecture
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    Path Independence and Conservative Fields

    MIT / Mathematics
    Denis Auroux
  21. Gradient Fields and Potential Functions Lecture
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    Gradient Fields and Potential Functions

    MIT / Mathematics
    Denis Auroux
  22. Green's Theorem Lecture
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    Green's Theorem

    MIT / Mathematics
    Denis Auroux
  23. Flux; Normal Form of Green's Theorem Lecture
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    Flux; Normal Form of Green's Theorem

    MIT / Mathematics
    Denis Auroux
  24. Simply Connected Regions; Review Lecture
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    Simply Connected Regions; Review

    MIT / Mathematics
    Denis Auroux
  25. Triple Integrals in Rectangular and Cylindrical Coordinates Lecture
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    Triple Integrals in Rectangular and Cylindrical Coordinates

    MIT / Mathematics
    Denis Auroux
  26. Spherical Coordinates; Surface Area Lecture
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    Spherical Coordinates; Surface Area

    MIT / Mathematics
    Denis Auroux
  27. Vector Fields in 3D; Surface Integrals and Flux Lecture
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    Vector Fields in 3D; Surface Integrals and Flux

    MIT / Mathematics
    Denis Auroux
  28. Divergence Theorem Lecture
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    Divergence Theorem

    MIT / Mathematics
    Denis Auroux
  29. Divergence Theorem (continued): Applications and Proof Lecture
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    Divergence Theorem (continued): Applications and Proof

    MIT / Mathematics
    Denis Auroux
  30. Line Integrals in Space, Curl, Exactness and Potentials Lecture
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    Line Integrals in Space, Curl, Exactness and Potentials

    MIT / Mathematics
    Denis Auroux
  31. Stokes' Theorem Lecture
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    Stokes' Theorem

    MIT / Mathematics
    Denis Auroux
  32. Stokes' Theorem (continued); Review Lecture
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    Stokes' Theorem (continued); Review

    MIT / Mathematics
    Denis Auroux
  33. Topological Considerations - Maxwell's Equations Lecture
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    Topological Considerations - Maxwell's Equations

    MIT / Mathematics
    Denis Auroux
  34. Multivariable Calculus Final Review Lecture
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    Multivariable Calculus Final Review

    MIT / Mathematics
    Denis Auroux
  35. Multivariable Calculus Final Review (continued) Lecture
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    Multivariable Calculus Final Review (continued)

    MIT / Mathematics
    Denis Auroux

Related Lectures

  1. Reachability Lecture

    Reachability

    Stanford / Engineering
    Stephen Boyd
  2. Normal Distributions Lecture

    Normal Distributions

    UCLA / Mathematics
    Mark Sawyer
  3. Max-Min Problems; Least Squares Lecture

    Max-Min Problems; Least Squares

    MIT / Mathematics
    Denis Auroux
  4. Solutions of initial value problems: eigenfunctions Lecture

    Solutions of initial value problems: eigenfunctions

    MIT / Mathematics
    Gilbert Strang
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