RES.18-007 | Fall 2011 | Undergraduate

Calculus Revisited: Multivariable Calculus

Part II: Vector Calculus

Lecture 2: Tangential & Normal Vectors

Video Description: Herb Gross explains how a vector is tangent to a curve at a point as a function of arc length. Likewise, he explains how a vector is normal to a curve as a function of the derivative of the tangent with regard to arc length and curvature. Prof. Gross presents an example tracking the velocity and acceleration of a particle moving along a curve.  Finally, he discusses similar issues and examples for 3-dimensional curves (binormal).

Instructor/speaker: Prof. Herbert Gross

Study Guide for Lecture 2: Tangential & Normal Vectors

  • Chalkboard Photos, Reading Assignments, and Exercises (PDF)
  • Solutions (PDF - 2.8MB)

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

Course Info

As Taught In
Fall 2011
Learning Resource Types
theaters Lecture Videos
notes Lecture Notes
assignment_turned_in Problem Sets with Solutions