math 53 lecture notes

1
Math 53 Lecture #1 – 8/26/15 Section 10.1 – Curves defined by parametric equaions -Distinguish between curve, set of points, and parametric curve, where pattern changes Two different sets can be made depending on order; (x = cost, y = sint) vs (x = sint, y = cost) If restrict th parameter to [a,b] the f(a),g9a) is initial and f(b),g(b) is terminal point Eliminating parameter possible, ields info about shape of curve Can create a parameter artificially in order to get a graphing device to graph curve;

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Notes. you can use them if you'd like. berkeley, day 1

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Page 1: Math 53 Lecture Notes

Math 53 Lecture #1 – 8/26/15

Section 10.1 – Curves defined by parametric equaions

-Distinguish between curve, set of points, and parametric curve, where pattern changes

Two different sets can be made depending on order; (x = cost, y = sint) vs (x = sint, y = cost)

If restrict th parameter to [a,b] the f(a),g9a) is initial and f(b),g(b) is terminal point

Eliminating parameter possible, ields info about shape of curve

Can create a parameter artificially in order to get a graphing device to graph curve;