Math 250B Notes and Videos


Videos are at the bottom of the page. You can view the videos on YouTube or stream/download using the link labelled "Download"

LECTURE NOTES
Sections 11.7, 12.1 and 12.2
Section 12.3
Section 12.4
Section 12.5
Section 12.6
Section 12.7
Section 12.8
Section 12.9
Section 12.10

Section 13.1
Section 13.2
Section 13.3
Section 13.4
Section 13.5
Section 13.6
Section 11.8
Section 13.7
Section 13.8
Section 13.9

Section 14.1
Section 14.2
Section 14.3
Section 14.4
Section 14.5
Section 14.6
Section 14.7


VIDEOS
11.7/12.1/12.2 Overview of Multivariable Calculus     VIDEO       Download
11.7/12.1/12.2 Functions of Several Variables     VIDEO       Download
11.7/12.1/12.2 Five Important Surfaces     VIDEO       Download
11.7/12.1/12.2 Graphing Paraboloids     VIDEO       Download
11.7/12.1/12.2 Graphing Spheres     VIDEO       Download
11.7/12.1/12.2 Graphing Cones     VIDEO       Download
11.7/12.1/12.2 Graphing Cylinders     VIDEO       Download
11.7/12.1/12.2 Graphing Planes     VIDEO       Download

12.3 Continuous Multivariable Functions     VIDEO       Download

12.4 Partial Derivatives     VIDEO       Download
12.4 Second-Order Partial Derivatives     VIDEO       Download
12.4 Tangent Planes     VIDEO       Download
12.4 More about Tangent Planes     VIDEO       Download
12.4 Cross Product and Normal Form     VIDEO       Download

12.5 Critical Points     VIDEO       Download
12.5 Absolute Maximum and Minimum     VIDEO       Download
12.5 Absolute Maximum and Minimum: Example     VIDEO       Download

12.6 Differentials     VIDEO       Download
12.6 Linear Approximation     VIDEO       Download
12.6 Absolute Error     VIDEO       Download
12.6 Relative Error     VIDEO       Download

12.7 Multivariable Chain Rule     VIDEO       Download
12.7 Multivariable Chain Rule: Example     VIDEO       Download
12.7 Implicit Partial Differentiation     VIDEO       Download

12.8 The Gradient Vector     VIDEO       Download
12.8 Directional Derivatives     VIDEO       Download
12.8 Maximum Rate of Increase     VIDEO       Download
12.8 Level Curves and Surfaces     VIDEO       Download

12.9 Lagrange Multipliers Part 1     VIDEO       Download
12.9 Lagrange Multipliers Part 2     VIDEO       Download

12.10 Classifying Critical Points     VIDEO       Download

13.1 Double Integration     VIDEO       Download

13.2 The Meaning of Double Integrals     VIDEO       Download
13.2 Vertical and Horizontal Slices     VIDEO       Download
13.2 Swapping Order of Integration     VIDEO       Download

13.3 Area and Volume, Part 1     VIDEO       Download
13.3 Area and Volume, Part 2     VIDEO       Download

13.4 Double Integration in Polar Coordinates     VIDEO       Download
13.4 Polar Area and Volume, Part 1     VIDEO       Download
13.4 Polar Area and Volume, Part 2     VIDEO       Download

13.5 Double Integrals: Mass and Centroid     VIDEO       Download
13.5 Double Integrals: Moment of Inertia     VIDEO       Download

13.6 Volume by Triple Integration, Part 1     VIDEO       Download
13.6 Volume by Triple Integration, Part 2     VIDEO       Download
13.6 Triple Integration: Centroid and Moment of Inertia     VIDEO       Download

11.8 Cylindrical Coordinates     VIDEO       Download
11.8 Spherical Coordinates     VIDEO       Download

13.7 Integration in Cylindrical Coordinates, Part 1     VIDEO       Download
13.7 Integration in Cylindrical Coordinates, Part 2     VIDEO       Download
13.7 Integration in Spherical Coordinates     VIDEO       Download

13.8 Surface Area     VIDEO       Download
13.8 Surface Area of Parametric Surfaces     VIDEO       Download
13.8 Geometry of Surface Area Formulas     VIDEO       Download

13.9 Change of Variables     VIDEO       Download
13.9 Elliptical Change of Variables     VIDEO       Download
13.9 Spherical Correction Factor     VIDEO       Download

14.1 Intro to Vector Fields     VIDEO       Download
14.1 Divergence and Curl     VIDEO       Download

14.2 Line Integrals with respect to Arc Length     VIDEO       Download
14.2 Parametrizing a Curve     VIDEO       Download
14.2 Line Integrals with respect to Coordinates     VIDEO       Download
14.2 Work done by a Force Field     VIDEO       Download

14.3 Conservative Vector Fields     VIDEO       Download
14.3 Fundamental Theorem of Line Integrals     VIDEO       Download
14.3 Path Independence Theorem     VIDEO       Download

14.4 Green's Theorem     VIDEO       Download
14.4 Corollary to Green's Theorem     VIDEO       Download
14.4 2D Flux and 2D Divergence Theorem     VIDEO       Download

14.5 Surface Integrals     VIDEO       Download
14.5 3D Flux, Part 1     VIDEO       Download
14.5 3D Flux, Part 2     VIDEO       Download
14.5 3D Flux, Part 3     VIDEO       Download

14.6 3D Divergence Theorem     VIDEO       Download

14.7 Stokes' Theorem, Part 1     VIDEO       Download
14.7 Stokes' Theorem, Part 2     VIDEO       Download