RES.18-007 | Fall 2011 | Undergraduate

Calculus Revisited: Multivariable Calculus

Part III: Partial Derivatives

Lecture 2: Calculus of Several Variables

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

Video Player is loading.
Current Time 0:00
Duration 0:00
Loaded: 0%
Stream Type LIVE
Remaining Time 0:00
 
1x
    • Chapters
    • descriptions off, selected
    • captions and subtitles off, selected

      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.

      Course Info

      Instructor
      Departments
      As Taught In
      Fall 2011
      Learning Resource Types
      Lecture Videos
      Lecture Notes
      Problem Sets with Solutions