Part II: Vector Calculus
Lecture 2: Tangential & Normal Vectors
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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.
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Fall
2011
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Lecture Videos
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Lecture Notes
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Problem Sets with Solutions