Math 250B Notes and Videos


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

12.3 Continuous Multivariable Functions     NOTES     VIDEO       Download

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

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

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

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

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

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

12.10 Classifying Critical Points     NOTES     VIDEO       Download

13.1 Double Integration     NOTES     VIDEO       Download

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

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

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

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

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

11.8 Cylindrical Coordinates     NOTES     VIDEO       Download
11.8 Spherical Coordinates     NOTES     VIDEO       Download

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

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

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

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

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

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

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

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

14.6 3D Divergence Theorem     NOTES     VIDEO       Download

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