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Numerical Analysis
October 2, 2002
First Exam Review. The first exam is Wednesday, October 9,
in our normal room at the normal time.
You will be allowed any notes or books that you wish to
bring. Seating will be assigned as before and you will need to bring
your own materials and calculator and will not be able to
share or use my book. Here is a summary of materials you might find
from the five chapters we covered. You will not have to do anything
with Maple on the exam.
The exam will contain many questions and you will choose a
subset of the questions to do. Read the instructions carefully before
beginning the exam.
- Chapter 1 Taylor polynomials, errors in Taylor
polynomials and polynomial evaluation.
- Chapter 2 Computer representation of numbers, floating
point numbers, binary numbers, maximum accuracy, etc. IEEE standard.
- Chapter 3 Error, computation, sources, propogations,
relative error, summation errors.
- Chapter 4 Rootfinding, bisection, Newton's method,
secant method, fixed point theory, problems with rootfinding.
- Chapter 5 Interpolation, polynomial interpolation,
splines, divided differences, errors in interpolation, ways to
calculate interpolants. For splines, you will only need to know how
to identify if an equation is a natural cubic spline.
You are also responsible for any other topics we covered in
class, on homework, or on exams.
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sforman@sju.edu