\item % Explore numerical 
Read the details about `loglog', `semilogx', `semilogy' in matlab/octave.
Typical convergence behavior, such as $y_n = C_1 n^{-k}$, or
$z_n = C_2 \alpha^n$, where $n$ denotes the number of iterations
and $C_1>0$, $C_2>0$, $k>0$ and $0<\alpha<1$
are some constants, will have distinct behaviors when you
choose the correct scaling.
That is, if you try to plot $y_n$ or $z_n$ versus $n$ in one
of the special scalings above, you will see a straight line.
Try to analyze it and find the rate of convergence of
$$
\lim_{n \to \infty} \sum_{i=1}^n {1 \over i^2} = {\pi^2 \over 6}
$$
numerically by plotting the results in the correct scaling.

% \item
% Section 2.1: Problems 12(*), 18.

\item
Section 2.2: Problems 2(b), 7, 12(a), 16, 24. % 12(a) (hand in).

%% \item
%% Section 2.3: Problems 16, 17(a,b), 19, 23(c). 

%% \item
%% Section 2.4: Problems 8, 9, 10, 12, 14. % add 7 next time.

% \item
% global convergnce of newton's for convex function.

% \item
% Averaged fixed point iteration with example.

% \item
% Section 2.5: Problems 14, 15.