# MATB42H3 Lecture 1: a4 2017

## Document Summary

February 6 february 10, 2017. assignment is. Assignment #4 at the start of your tutorial in the period: suggested reading: marsden & tromba, chapter 7, section 7. 2, problems, (for this question assume that all curves are of class c k, some k 3. ) A curve : [a, b] rn is called regular if (t) 6= 0 for any t. for a regular curve , the vector t = (t) k (t)k is called the unit tangent vector to the curve. (a) if : [a, b] r3 is a regular curve, show that t (t) t (t) = 0. (see page 235, #16(a)) A curve (s) is said to be parametrized by arclength (or have unit speed ) if k (s)k = 1. 2 (cos t, sin t, t) is a unit speed curve and compute its curvature. (see page 235, #17) If t (t) 6= 0, n (t) =