Michael Hutchings

Courses

1. 

   Multivariable Calculus

   Berkeley / Mathematics
   Michael Hutchings
   

Lectures

1. 
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   Areas and Lengths in Polar Coordinates

   Berkeley / Mathematics
   Michael Hutchings
   
2. 
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   Vectors, Dot Product

   Berkeley / Mathematics
   Michael Hutchings
   
3. 
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   Cross Product, Determinant

   Berkeley / Mathematics
   Michael Hutchings
   
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   Lines and Planes

   Berkeley / Mathematics
   Michael Hutchings
   
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   Cylinders and Quadric Surfaces

   Berkeley / Mathematics
   Michael Hutchings
   
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   Vector-Valued Functions and Space Curves

   Berkeley / Mathematics
   Michael Hutchings
   
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   Limits and Continuity

   Berkeley / Mathematics
   Michael Hutchings
   
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   Partial Derivatives

   Berkeley / Mathematics
   Michael Hutchings
   
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   Tangent Planes and Linear Approximations

   Berkeley / Mathematics
   Michael Hutchings
   
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    The Chain Rule

    Berkeley / Mathematics
    Michael Hutchings
    
11. 
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    Directional Derivatives and the Gradient Vector

    Berkeley / Mathematics
    Michael Hutchings
    
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    Maxima and Minima

    Berkeley / Mathematics
    Michael Hutchings
    
13. 
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    More Maxima and Minima; Lagrange Multipliers

    Berkeley / Mathematics
    Michael Hutchings
    
14. 
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    Midterm Review

    Berkeley / Mathematics
    Michael Hutchings
    
15. 
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    More Lagrange Multipliers

    Berkeley / Mathematics
    Michael Hutchings
    
16. 
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    Double Integrals Over Rectangles

    Berkeley / Mathematics
    Michael Hutchings
    
17. 
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    Double Integrals over General Regions

    Berkeley / Mathematics
    Michael Hutchings
    
18. 
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    Double Integrals in Polar Coordinates

    Berkeley / Mathematics
    Michael Hutchings
    
19. 
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    Applications of Double Integrals

    Berkeley / Mathematics
    Michael Hutchings
    
20. 
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    Triple Integrals

    Berkeley / Mathematics
    Michael Hutchings
    
21. 
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    Triple Integrals in Cylindrical Coordinates

    Berkeley / Mathematics
    Michael Hutchings
    
22. 
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    Triple Integrals in Spherical Coordinates

    Berkeley / Mathematics
    Michael Hutchings
    
23. 
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    Change of Variables, Jacobians

    Berkeley / Mathematics
    Michael Hutchings
    
24. 
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    More change of variables and Jacobians

    Berkeley / Mathematics
    Michael Hutchings
    
25. 
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    Vector Fields

    Berkeley / Mathematics
    Michael Hutchings
    
26. 
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    Line Integrals

    Berkeley / Mathematics
    Michael Hutchings
    
27. 
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    Green's Theorem I

    Berkeley / Mathematics
    Michael Hutchings
    
28. 
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    Green's Theorem II

    Berkeley / Mathematics
    Michael Hutchings
    
29. 
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    Curl and Divergence

    Berkeley / Mathematics
    Michael Hutchings
    
30. 
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    Parametric Surfaces

    Berkeley / Mathematics
    Michael Hutchings
    
31. 
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    More Parametric Surfaces; Surface Integrals, part I

    Berkeley / Mathematics
    Michael Hutchings
    
32. 
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    Surface Integrals, part II

    Berkeley / Mathematics
    Michael Hutchings
    
33. 
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    Surface Integrals, part III

    Berkeley / Mathematics
    Michael Hutchings
    
34. 
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    Stokes' Theorem I

    Berkeley / Mathematics
    Michael Hutchings
    
35. 
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    Stokes' theorem II

    Berkeley / Mathematics
    Michael Hutchings
    
36. 
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    Divergence Theorem I

    Berkeley / Mathematics
    Michael Hutchings
    
37. 
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    Divergence theorem II

    Berkeley / Mathematics
    Michael Hutchings
    
38. 
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    Review I

    Berkeley / Mathematics
    Michael Hutchings
    
39. 
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    Review II

    Berkeley / Mathematics
    Michael Hutchings
    
40. 
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    Functions of Several Variables

    Berkeley / Mathematics
    Michael Hutchings