Review for MIDTERM EXAM I (Wednesday, March 17, 2010).

Review the (non MATLAB) problems from Homework 1-4 .

CHAPTER 0, Fundamentals: Sections 0.2, 0.3, 0.4
-Binary numbers, Binary fractions, Machine numbers, Computer floating point numbers.
-Absolute and relative error, approximation to p significant digits
- Round-off error, loss of significance 
- Review problems:
0.2 #  1,  4. 
0.3 # 2, 10a. 
0.4 # 1, 3

CHAPTER 1, Solving Equations. Sections 1.1, 1.2 and  1.4 and 1.5.1 
-Bisection method, Bisection Theorem:  |xc-r|<(b-a)/2^(n+1).
-Fixed point iteration, Fixed-Point Theorem
-Newton Raphson Method and N-R Theorem. N-R iteration function.
-Rate of convergence for N-R iteration  
-Secant Method
-Review problems:
1.1 #  2, 4, 6. 
1.2 # 3, 4, 16.
1.4 # 2, 6, 8, 10, 12 
1.5 # 1a

CHAPTER 2, Systems of Linear equations . Sections: 2.1, 2.2 and 2.4 

- Naive Gaussian Elimination (GE) 
- Triangular Systems (TS). 
 -Know  how to solve by hand and how to write   algorithms for GE and TS. 
-Review problems:
2.1 #  2, 3, 4a. 
2.2 # 2a, 4a, 7