
Lecture Description
This video lecture, part of the series Multivariable Calculus, with Michael Hutchings by Prof. Michael Hutchings, does not currently have a detailed description and video lecture title. If you have watched this lecture and know what it is about, particularly what Mathematics topics are discussed, please help us by commenting on this video with your suggested description and title. Many thanks from,
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Course Index
- Areas and Lengths in Polar Coordinates
- Vectors, Dot Product
- Cross Product, Determinant
- Lines and Planes
- Cylinders and Quadric Surfaces
- Vector-Valued Functions and Space Curves
- Functions of Several Variables
- Limits and Continuity
- Partial Derivatives
- Tangent Planes and Linear Approximations
- The Chain Rule
- Directional Derivatives and the Gradient Vector
- Maxima and Minima
- More Maxima and Minima; Lagrange Multipliers
- Midterm Review
- More Lagrange Multipliers
- Double Integrals Over Rectangles
- Double Integrals over General Regions
- Double Integrals in Polar Coordinates
- Applications of Double Integrals
- Triple Integrals
- Triple Integrals in Cylindrical Coordinates
- Triple Integrals in Spherical Coordinates
- Change of Variables, Jacobians
- More change of variables and Jacobians
- Vector Fields
- Line Integrals
- Green's Theorem I
- Green's Theorem II
- Curl and Divergence
- Parametric Surfaces
- More Parametric Surfaces; Surface Integrals (Part I)
- More Parametric Surfaces; Surface Integrals (Part II)
- More Parametric Surfaces; Surface Integrals (Part III)
- Stokes' Theorem I
- Stokes' Theorem II
- Divergence Theorem I
- Divergence Theorem II
- Review I
- Review II
Course Description
In this course, UC Berkeley Professor Michael Hutchings gives 40 video lectures on Multivariable Calculus.
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