- Don’t forget to schedule grading meetings for lab 2
- Video
- Can describe curves that aren’t functions
- Each variable is defined by a function of some third variable t
- Curves have directions
- Can eliminate parameter
- Examples
- Think of a pair of parametric equations that generate a curve in which
y is not a function of x, not using equations taken from the lab
- So curve needs to double back on itself:
- x = t2, y = t should do this…
t = linspace( -2, 2, 200 ); x = t.^2; y = t; plot( x, y );
- So curve needs to double back on itself:
- How about a curve in which neither x nor y is a function of the other?
- Curves with loops have this property (but other curves can too)
- Consider x(t) = t3 - 4t, y(t) = sin(2t)
x = t.^3 - 4 * t; y = sin( 2 * t ); plot( x, y );
- Curves with loops have this property (but other curves can too)
- Think of a pair of parametric equations that generate a curve in which
y is not a function of x, not using equations taken from the lab
- Finish plotting lab