Warren Shull

Multivariable Calculus

Here are the lecture videos I most recently used for Multivariable Calculus. I welcome your feedback about any of these materials, as well as suggestions for new materials to link to (or create). The links shown in red are of my own making.

"Arithmetic is to math as spelling is to journalism" - Emmanuel Schanzer

Basics of 3D space: Vectors
  • Lines and planes
  • Multivariable functions

  • Partial derivatives
  • Tangent planes and linear approximations
  • Multivariable Chain Rule

  • Gradient Vectors and Directional Derivatives Maximum and Minimum Values Lagrange Multipliers Multiple Integrals Vector functions and space curves Line and surface integrals