Page 6 - Numerical Analysis Using MATLAB and Excel

software package used for modeling, simulating, and analyzing dynamic systems. SIMULINK is
not discussed in this text; the interested reader may refer to Introduction to Simulink with
Engineering Applications, ISBN 0−9744239−7−1. Additional information including purchasing
the software may be obtained from The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA
01760−2098. Phone: 508 647−7000, Fax: 508 647−7001, e−mail: info@mathwork.com and web
site http://www.mathworks.com.
The author makes no claim to originality of content or of treatment, but has taken care to present
definitions, statements of physical laws, theorems, and problems.

Chapter 1 is an introduction to MATLAB. The discussion is based on MATLAB Student Version
5 and it is also applicable to Version 6. Chapter 2 discusses root approximations by numerical
methods. Chapter 3 is a review of sinusoids and complex numbers. Chapter 4 is an introduction to
matrices and methods of solving simultaneous algebraic equations using Excel and MATLAB.
Chapter 5 is an abbreviated, yet practical introduction to differential equations, state variables,
state equations, eigenvalues and eigenvectors. Chapter 6 discusses the Taylor and Maclaurin
series. Chapter 7 begins with finite differences and interpolation methods. It concludes with
applications using MATLAB. Chapter 8 is an introduction to linear and parabolic regression.
Chapters 9 and 10 discuss numerical methods for differentiation and integration respectively.
Chapter 11 is a brief introduction to difference equations with a few practical applications.
Chapters 12 is devoted to partial fraction expansion. Chapters 13, 14, and 15 discuss certain
interesting functions that find wide application in science, engineering, and probability. This text
concludes with Chapter 16 which discusses three popular optimization methods.
New to the Third Edition

This is an extensive revision of the first edition. The most notable changes are the inclusion of
Fourier series, orthogonal functions and factorization methods, and the solutions to all end−of−
chapter exercises. It is in response to many readers who expressed a desire to obtain the solutions
in order to check their solutions to those of the author and thereby enhancing their knowledge.
Another reason is that this text is written also for self−study by practicing engineers who need a
review before taking more advanced courses such as digital image processing. The author has
prepared more exercises and they are available with their solutions to those instructors who adopt
this text for their class.

Another change is the addition of a rather comprehensive summary at the end of each chapter.
Hopefully, this will be a valuable aid to instructors for preparation of view foils for presenting the
material to their class.

The last major change is the improvement of the plots generated by the latest revisions of the
MATLAB® Student Version, Release 14.
Orchard Publications
Fremont, California
www.orchardpublications.com
info@orchardpublications.com