\item 
Section 3.1: 
Learn how to construct Lagrange interpolating
polynomials and practice on implementing it.
Direct evaluation will do, but Neville's method is encouraged
(extra credit).

\item 
Section 3.1:
Study the error formula (identity) for Lagrange interpolation
and how to obtain an error bound (inequality).

\item 
Section 3.2:
Study how to obtain $P_{0,1,\cdots,k}$
from
$P_{0,1,\cdots,j-1,j+1,\cdots,k}$
and
$P_{0,1,\cdots,i-1,i+1,\cdots,k}$.

\item 
Section 3.2:
Study how to solve nonlinear equations with Inverse Interpolation.

\item  Section 3.5:
Study the meaning of cubic spline and how to match the
coefficients at $x_j$ (such as problems 12, 13, 14).
Memorize the meaning of natural and clamped boundary conditions.

\item  Section 3.5:
Study how to obtain the degree of the piecewise polynomial
and number of boundary condition needed for a $C^k$ spline.