Math 5043-001 Introduction to Numerical Analysis
(and Scientific Computing). Fall 2009
TR 11:00-12:20. Wachman Hall Room 617
This is a one semester course which introduces the student
to basic concepts in numerical analysis and scientific computing.
In this discipline, algorithms for the solution of specific problems
arising in science and engineering using computers are presented
and analyzed. The goal is to learn algorithms which approximate
the solutions, in other words, one wants to guarantee that the answer
produced by the computer code resembles the true solution. At the
same time, one wants to produce algorithms which converge to the
solution in a reasonable amount of time.
Some of the specific methods which will be studied include:
Finding roots of non-linear equations.
Approximation and interpolation of functions. Numerical integration.
In addition, we will study how computers store and manipulate data,
so we can study how errors produced by the use of non-exact arithmetic
are generated and propagated in the specific algorithms. Stability
of the algorithms will be studied as well.
Syllabus
Textbook:
Germund Dahlquist and Åke Björck,
Numerical Methods in Scientific Computing, Volume 1.
SIAM, Philadelphia, 2008.
You can purchase the book at SIAM, 3600 Market Street, for about $76
Please take your Temple ID for your discount.
For any questions, contact the instructor,
Prof. Daniel B. Szyld,
at 215.204.7288 (szyld AT temple DOT edu).