\item Section 1.3: Read the Illustration on page 32 and 33 and the example in your homework carefully. Understand the cause of instability for recurrence formula. \item Section 1.3: Review the definition of 'rate, or order, of convergence $O(\beta_n)$' on p37. Note the difference with `converge to $p$ of order $\alpha$' on page 78. \item Section 1.3: Study how to obtain rate of convergence numerically by means of scaled plot and/or how to extract relevant constants from the data. \item Section 2.1-2.2: Study how to estimate number of iterations needed for linearly convergent methods such as bisection and fixed point iteration. \item Section 2.2: Study the convergence proof and error estimate (Theorem 2.3, 2.4, Corollary 2.5) for fixed point iteration. \item Section 2.2: Study how to modify (generalize) the fixed point iteration when it does not converge. \item Section 2.3: Study the secant method and method of false position. In particular, how to get $p_{n+1}$ from previous $p_n$'s. \item Section 2.1-2.3: Review programming for bisection, fixed point iteration, Newton's method and secant method.