Multivariable Calculus, with Michael Hutchings

Course Description


In this course, UC Berkeley Professor Michael Hutchings gives 40 video lectures on Multivariable Calculus.

Multivariable Calculus, with Michael Hutchings


UC Berkeley Professor Michael Hutchings in Lecture 23: Triple Integrals in Spherical Coordinates.

10 ratings

Video Lectures & Study Materials

# Lecture Play Lecture
1 Areas and Lengths in Polar Coordinates Play Video
2 Vectors, Dot Product Play Video
3 Cross Product, Determinant Play Video
4 Lines and Planes Play Video
5 Cylinders and Quadric Surfaces Play Video
6 Vector-Valued Functions and Space Curves Play Video
7 Functions of Several Variables Play Video
8 Limits and Continuity Play Video
9 Partial Derivatives Play Video
10 Tangent Planes and Linear Approximations Play Video
11 The Chain Rule Play Video
12 Directional Derivatives and the Gradient Vector Play Video
13 Maxima and Minima Play Video
14 More Maxima and Minima; Lagrange Multipliers Play Video
15 Midterm Review Play Video
16 More Lagrange Multipliers Play Video
17 Double Integrals Over Rectangles Play Video
18 Double Integrals over General Regions Play Video
19 Double Integrals in Polar Coordinates Play Video
20 Applications of Double Integrals Play Video
21 Triple Integrals Play Video
22 Triple Integrals in Cylindrical Coordinates Play Video
23 Triple Integrals in Spherical Coordinates Play Video
24 Change of Variables, Jacobians Play Video
25 More change of variables and Jacobians Play Video
26 Vector Fields Play Video
27 Line Integrals Play Video
28 Green's Theorem I Play Video
29 Green's Theorem II Play Video
30 Curl and Divergence Play Video
31 Parametric Surfaces Play Video
32 More Parametric Surfaces; Surface Integrals (Part I) Play Video
33 More Parametric Surfaces; Surface Integrals (Part II) Play Video
34 More Parametric Surfaces; Surface Integrals (Part III) Play Video
35 Stokes' Theorem I Play Video
36 Stokes' Theorem II Play Video
37 Divergence Theorem I Play Video
38 Divergence Theorem II Play Video
39 Review I Play Video
40 Review II Play Video

Comments

Displaying 10 comments:

Paul Sprockel wrote 4 years ago. - Delete
Suggested description and title :br>
Universal Mathematics


Habtamu wrote 7 years ago.
It is a nice lecture

Zahid wrote 8 years ago.
Beautiful í learn much from it

lilsergi wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


lilsergi wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


sergio wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


sergio wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


sergio wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


sergio wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


sergio wrote 9 years ago.
So, in conclusion every time we take a vector field line
integral along a simply closed curve and we get a non-zero
value, then that implies that there is a hole inside the
region?


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