CS/Math 166 -- Midterm 2 Review

Midterm 2 Review

This is not an exclusive list. It is merely meant to highly some of the major topics covered since the first midterm.

Find the eigenvalues & eigenvectors of a 2 by 2 (3 by 3) matrix.
Find the interval of the eigenvalues of a matrix via Gerschgorin's Disk Theorem.
Find the linear (least squares) regression line for a set of data points.
Find the Lagrange interpolating polynomial for a set of data points.
Topic: finite difference operator conversions and equalities.
Compute forward (divided) difference tables.
Correct errors in data given the forward difference table.
Use the Newton Forward Difference formula to interpolate values.
Prove/disprove orthogonality of a set of vectors/functions.
Create the Jacobi/Gauss-Seidel equations for a linear system and perform several iterations.
Find the normal equations for a linear system.
What is a cubic spline curve, and why use one?
Topic: approximation of a known curve by Chebyshev polynomials.