Review for MIDTERM EXAM II (Friday, November 9, 2012).

CHAPTER 2, Solutions of Linear Systems. Section 2.5 Iterative methodes
Jacobi and Gauss-Seidel Iteration, algorithms. 
Diagonally dominant matrices: 
Convergence of Jacobi and Gauss-Seidel Iteration 
-Review problems:

2.5 # 1, a, b.
See Example 2.22, page 109 or class notes

CHAPTER 3 Interpolation, Sections 3.1, 3.2
Lagrange coefficient polynomials (Cardinal functions) , Lagrange Interpolation, Newton's Divided Differences, Theorem 3.4, page 152
Runge phenomenon

-Review problems:
3.1: # 1a,b, 2, 7
3.2: # 1, 3


CHAPTER 4 Least squares, Sections 4.1 and 4.2 
Linear models
Skip the exponential model
Know Normal equations and how to solve NE using MATLAB
2-norm and RMSE 

-Review problems:
4.1: # 1a,b,  9, 12
4.2: # 1a, 1b


Chapter 5 Numerical Differentiation Sections 5.1
Know how to deduce:
  -Two point forward difference formula
  -Three-point centered-difference formulas for f' and f''.  

-Review problems:
5.1: # 5, 7, 8,15

KNOW how to use the MATLAB functions: \, norm, polyval, polyfit, 
 as showed in Homework sets 5 and 6.