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About The Professor
Course
Subject:
Mathematics
Topic:
Multivariable Calculus
Views:
109,158
Educator
Name:
University of California, Berkeley (UC Berkeley)
Type:
University
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Instructor
Name
Michael Hutchings
Multivariable Calculus, with Michael Hutchings
Video Lectures
Displaying all 40 video lectures.
Lecture 1
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Areas and Lengths in Polar Coordinates
Lecture 2
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Vectors, Dot Product
Lecture 3
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Cross Product, Determinant
Lecture 4
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Lines and Planes
Lecture 5
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Cylinders and Quadric Surfaces
Lecture 6
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Vector-Valued Functions and Space Curves
Lecture 7
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Functions of Several Variables
Lecture 8
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Limits and Continuity
Lecture 9
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Partial Derivatives
Lecture 10
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Tangent Planes and Linear Approximations
Lecture 11
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The Chain Rule
Lecture 12
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Directional Derivatives and the Gradient Vector
Lecture 13
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Maxima and Minima
Lecture 14
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More Maxima and Minima; Lagrange Multipliers
Lecture 15
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Midterm Review
Lecture 16
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More Lagrange Multipliers
Lecture 17
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Double Integrals Over Rectangles
Lecture 18
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Double Integrals over General Regions
Lecture 19
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Double Integrals in Polar Coordinates
Lecture 20
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Applications of Double Integrals
Lecture 21
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Triple Integrals
Lecture 22
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Triple Integrals in Cylindrical Coordinates
Lecture 23
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Triple Integrals in Spherical Coordinates
Lecture 24
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Change of Variables, Jacobians
Lecture 25
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More change of variables and Jacobians
Lecture 26
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Vector Fields
Lecture 27
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Line Integrals
Lecture 28
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Green's Theorem I
Lecture 29
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Green's Theorem II
Lecture 30
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Curl and Divergence
Lecture 31
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Parametric Surfaces
Lecture 32
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More Parametric Surfaces; Surface Integrals (Part I)
Lecture 33
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More Parametric Surfaces; Surface Integrals (Part II)
Lecture 34
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More Parametric Surfaces; Surface Integrals (Part III)
Lecture 35
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Stokes' Theorem I
Lecture 36
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Stokes' Theorem II
Lecture 37
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Divergence Theorem I
Lecture 38
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Divergence Theorem II
Lecture 39
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Review I
Lecture 40
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Review II
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Subject: Mathematics
Courses
Multivariable Calculus, with Michael Hutchings