Lecture 2: Calculus of Several Variables

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Video Description: Herb Gross introduces us to the traditional Calculus of Several Variables. He defines and explains the properties of partial derivatives and shows how to draw a graph of a function of several variables. He finds the normal vector (using the cross product) and the tangent plane at a point in terms of partial derivatives. Finally, Prof. Gross shows the change of a function w in the tangent plane as an approximation to the differential of w.

Instructor/speaker: Prof. Herbert Gross

Study Guide for Lecture 2: Calculus of Several Variables

  • Chalkboard Photos, Reading Assignments, and Exercises (PDF)
  • Solutions (PDF - 3.6MB)

To complete the reading assignments, see the Supplementary Notes in the Study Materials section.