1. Vector Functions Curves in Space
Frank Lloyd Wright 1867 – 1959
Interior of the Guggenheim Museum, New York

2. Good News!
Most of what you learned about lines and planes in 3-space can be easily applied to curves
Start with a parametric approach
Use Maple to help visualize

3. What shape did Frank Lloyd Wright use?

4. Parametric form - Spiral
We could think of the spiral as a collection of points or the path traced out by a vector in space

5. Examples from text…
Example 6, pg 888:
#19 – 24, pg 891
#37, pg 892

6. What’s next…?
All of the ideas of rates of change, slopes and derivatives and integrals apply to spacecurves
By “marrying” elementary calculus with vector geometry we develop Vector Calculus