\item
Section 4.9:

Study the reason of loss of accuracy for improper integrals.
Study how to predict and how to verify numerically
the reduced order of convergence and
the cure to restore theoretical order of convergence.

\item
Section 6.1:

Study how to count the number of operations to leading order efficiently
both for Gaussian elimination and backward substitution.
Do this both for full matrices and sparse matrices such
as those in Homework 13.

\item
Section 6.1:

Practice programming for Gaussian elimination (without pivoting)
and backward substitution.

\item
Section 6.2:

Study how to perform partial pivoting and 
scaled pivoting manually for small matrices.

\item
Section 6.5:

Study how to perform $LU$ decomposition with or
without pivoting manually for small matrices.

\item
Section 6.5:
Study how Gaussian elimination or $LU$ decomposition can be used
to evaluate the determinant of a matrix.