MATH 2ZZ3 Lecture Notes - Lecture 2: Internetwork Packet Exchange, Parametric Equation, Fourier Series

• School: McMaster University
• Department: Mathematics
• Course: MATH 2ZZ3
• Professor: David Lozinski

Document Summary

,p p and is either piecewise-continuous or piecewise- Review f is defined on an interval( differentiable. 2 a n cos n p x b n n f x a. Expand the following function in a sine or cosine series: x f x. Recall that piecewise-continuous functions can have holes in them. p = 2. 2 n d x sin sin cos n x. 2 f x cos n f x cos cos x d n. 1 cos sin n n f x d x f x d x symmetric. 2 n cos n sin n p x. Let f be a continuous function defined on an interval of the form( extend the function, f, to the interval( The basic idea is to: even expansion. Extend f to an even function about x = , so ( ) f x. Extend f to an odd function about x = , so ( ) f x.