Lab 2A: Interpolation
Due: Friday Feb. 5th at Noon
The first form of the barycentric formula is:
n
k k
f (x) = w(x)
,
x k
k=1
where
w(x) =
n
(x k )
k=1
and
k =
n
(k j )1
j=1
j=k
where n is the number of interpolation points.
In this lab you will write a M

Lab 4A: QR Factorization
Due: Friday March 18th at Noon
This part of the lab you will be writing a program to compute the QR factorization of a matrix A.
The algorithm used is the classical (unstable) Gram-Schmidt orthogonalization algorithm.
To define a

Final Exam
AM2814GThree Hours
Wednesday, April 15, 2015
7:00 10:00 pm
Instructions
No notes, calculators or computers. There are 8 pages including a formula sheet and
a Matlab summary.
Part I is multiple choice. Choose the most appropriate answer for ea

Lab 1A: Truncated Taylor Series
Due: Friday Jan. 22nd at Noon
In this lab you will create a script to compute a truncated Taylor series and use the plotting utilities in Matlab
to output the result.
The truncated Taylor series of a function f (x) about a

Lab 2B: Interpolation
Due: Sunday Feb. 14th at 11:59PM
In this lab you will be investigating barycentric Lagrange interpolation. The file bary_weights.m
has been provided on the course website. This function will compute the barycentric weights for a
give

Lab 1B: Root-nding
Due: Sunday Jan. 31st at 11:59PM
In this lab you will be implementing two methods for solving nonlinear equations of the form:
f (x) = 0 .
The methods you will be implementing are:
Newtons method
Secant method
As you work through the