Review for MIDTERM EXAM II (Wednesday, April 25).

CHAPTER 4, Interpolation  Section  4.3  
-Interpolation, extrapolation, Lagrange coefficient polynomials (Cardinal functions) , Lagrange Interpolation, Theorem 4.3, page 211. 
-Review problems:
4.3 #1, 2, 5

CHAPTER 5, Curve Fitting: Sections 5.1,  5.2 and  5.3
-Least square Line, Linear Least Square, 
- Normal equations-(25) page 271, Least Square Polynomial. 
- Least square plane.  
- Know how to write the matrix version of the Normal Equation and     Solve it with MATLAB
-Spline Functions. Definition, Clamped cubic splines, natural cubic spline. 
- Review problems:
5.1 # 1 
5.2 # 1, 16, 17, 18. 
5.3 # 3, 4, 5


CHAPTER 6, Numerical Differentiation, section 6.1 
-Central- Difference Formulas ( Theorem 6.1 page 323) 
-Centered Formula of Order h^4 (Theorem 6.2, Page 324)
-Review problems:
6.1 #  1, 3ac, 11 

CHAPTER 7, Numerical Integration, section 7.1, 7.2 and 7.5 
- Trapezoid Rule, Simpson Rule, 
- Composite Trapezoid and Simpson Rules Corollary 7.2 an 7.3 pages 368-369,
-Gausssian  Quadratures
-The method of undetermined coefficients
-Review problems:
7.1 #  3, 5
7.2 # 7, 8, 9
7.5 # 9, 11

KNOW how to use the MATLAB or BOOK functions
related with the above sections and used in Homework 6-8.