Summary: NUMERICAL ANALYSIS: This refers to the analysis
of mathematical problems by numerical means, es-
pecially mathematical problems arising from models
based on calculus.
Effective numerical analysis requires several things:
· An understanding of the computational tool being
used, be it a calculator or a computer.
· An understanding of the problem to be solved.
· Construction of an algorithm which will solve the
given mathematical problem to a given desired
accuracy and within the limits of the resources
(time, memory, etc) that are available.
This is a complex undertaking. Numerous people
make this their life's work, usually working on only
a limited variety of mathematical problems.
Within this course, we attempt to show the spirit of
the subject. Most of our time will be taken up with
looking at algorithms for solving basic problems such
as rootfinding and numerical integration; but we will
also look at the structure of computers and the impli-