MATH 2ZZ3 Study Guide - Final Guide: Fourier Series, Tangent Space, Partial Differential Equation

• School: McMaster University
• Department: Mathematics
• Course: MATH 2ZZ3
• Professor: Jean Pierre Gabardo

Document Summary

Odd function: f x x f f x f x p p p p even. 0 f x d x a a a a f x d x ( ) d x f x. 0 f even f odd cos a b a b a b cos a b cos a b a b sin x. 2 x cos cos a sin a sin cos b b a b sin x. 1 x d d x d d x cosh kt sinh kt kt e kt e. 2 e d d t d d t cosh t sinh t sinh t cosh t. 2 ix cosh ix cos x ix e i sin x ix e e. Inner product of two functions is denoted by( If the inner product of two functions = 0, then they are said to be orthogonal.