\item 
Section 2.4:
Review relevant estimates for fixed point iteration and Newton's method.
Also how to accelerate convergence of Newton's method in case of
multiple roots. Study problem 13 thoroughly, understand why it
gives 3rd order convergence (cubic convergence). 

% \item 
% Section 2.5:
% Study Aitken's $\Delta^2$ method and Steffenson's Method
% and corresponding estimates in the textbook and homework.

% Study how to obtain rate of convergence numerically by means
% of scaled plot and/or finding relevant constants as in homework 02.

\item Section 10.1-10.2:
Study Newton's Method  for systems of nonlinear equations.
Practice the implementation.

Study how to transform $f(x) = 0$ into $x=g(x)$
in the case of systems of equations and solve it with fixed point iteration.
Study how to accelerate convergence by a proper choice of the
parameter matrix $\alpha$. Practice the implementation.

\end{enumerate}

\end{document}