Assignment #1: Introduction to Accuracy and Precision; Errors; Rounding and Chopping; Taylor Series Review; Getting Started with Matlab Due date: Wednesday, September 15, 2010 (10:10am) For full credit you must show all of your work. 1. Round each of the
Week 4
- Bisection method
- Newton's method
Bisection
Overview:
1. Take the midpoint
2. See if f(mid) is positive
or negative
3. Throw away old point
with same sign
3x/2 3
f(x) = 5*ln x + 2
-x -8
3x/2 3
f(x) = 5*ln x + 2
-x -8
3x/2 3
f(x) = 5*ln x + 2
-x
Week 12
- Iterative solutions to
systems of linear equations
Iterative solutions
3x
-z =2
-x +2y
=-1
-4x+4y+8z=28
Solve for x,y,z:
x= (2+z)/3
y= (-1+x)/2
z= (28+4x-4y)/8
Iterative solutions
x= (2+z)/3
y= (-1+x)/2
z= (28+4x-4y)/8
Use these from an initial
Week 9
- Gaussian elimination
- Scaled partial pivoting
Naive Gaussian Elimination
Part 1:
Eliminate all the lower
coefficients in each column by
subtracting a multiple of the
diagonal element in the matrix.
Naive Gaussian Elimination
[
234
434
661
-4 -6
Assignment #4: Root Finding (contd), Polynomial Interpolation Due date: Monday, October 11, 2010 (10:10am) For full credit you must show all of your work. 1. Illustrate each of the possible outcomes listed below, by giving an example of a function and an
Assignment #2: Number Representation, Loss of Significance and Range Reduction Due date: Wednesday, September 22, 2010 (10:10am) For full credit you must show all of your work. 1. Show how the following numbers would be represented using the IEEE standard