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\footnotesize \sf
Computer Science and Engineering
\\
Ferguson Hall -- 0115
\\
472-2402
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Course Specification\vspace*{3mm}
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{\Large \bf \begin{center} CSCE-340 \\
Numerical Analysis I \\
\end{center} }

\paragraph{Catalogue Description:}~ \newline
340/840. Numerical Analysis I (Mathematics 340/840) (3 cr) Lect 3.
Prereq: CSCE 150 or 155 and Math 208. Algorithm formulation for the
practical solution of problems such as interpolation, roots of
equations, differentiation and integration.  Includes analysis of
effects of finite precision.  Credit cannot be given for both Computer
Science 340 and Engineering Mechanics 480.


\paragraph{Textbook(s) and/or Other Required Materials:}~ \newline
Burden \& Faires, {\em Numerical Analysis, 5th Edition}.

\paragraph{Prerequisites by Topic:}~ 
\begin{enumerate}
\item {\bf Mastery} of algebra and calculus, Taylor series.
\item {\bf Familiarity} with a programming language, elementary linear algebra.
\end{enumerate}

\paragraph{Course Objectives:}~ 
\begin{enumerate}
\item {\bf Mastery} of elementary numerical methods of finding roots
  of equations, interpolation, differntiation, integration, approximations.
\item {\bf Familiarity} with analysis of error factors, time/space
  complexity, programming for numerical analysis applications.
\end{enumerate}

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{\small ~ \hfill  \today}
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\paragraph{Topics Covered:}~ 
\begin{enumerate}
\item Sources of error in computer arithmetic.
\item Algorithms and convergence.
\item Solutions of equations -- bisection method, fixed-point iteration,
  Newton-Raphson method.
\item Interpolation - Lagrange polynomials, divided differences, Hermite
  interpolation, cubic spline interpolation.
\item Differentiation, Richardson's extrapolation.
\item Integration - composite numerical integration, adaptive quadrature
  methods, Romberg integration or Gaussian quadrature.
\item Approximation - discrete least-squares, orthogonal polynomials and
  lesat squares, Chebyshev polynomials and economization of power series.
\end{enumerate}

\paragraph{Relationship of Course to Program Objectives:}~ \newline


\paragraph{Contribution of Course to Meeting the Professional Component:}~ \newline


\paragraph{Class/Laboratory Schedule:}~ \newline
Lecture: 45 hours 

\paragraph{Prepared by:}~ \newline
Charles Riedesel, Senior Lecturer

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