User:EGM6341.S11.team5.cavalcanti/Mtg31

 Mtg 31: Fri, 18 Mar 11 [[media:Nm1.s11.mtg31.djvu | Page 31-1]] Proof of HOTRE cont'd p.30-7

Trapezoidal Error: (1) p.30-2

(1) - (2) and (3) - (5)p. 29-2: [[media:Nm1.s11.mtg31.djvu | Page 31-2]] (1) p. 30-3, (4) p. 30-4, HW*6.1: [[media:Nm1.s11.mtg31.djvu | Page 31-3]] Since p2i(t) even function: (2) p. 31-2: (also end proof of HOTRE) [[media:Nm1.s11.mtg31.djvu | Page 31-4]] Summary: $$ \left\{\begin{matrix} p_{\color{red}{2i}}(t) \ \color{blue}{even} \ \color{black} polynomial\\ p_{\color{red}{2i+1}}(t) \ \color{blue}{odd} \ \color{black} polynomial \end{matrix}\right. $$