Numerical and Analytical Methods with MATLAB? presents extensive
coverage of the MATLAB programming language for engineers. It
demonstrates how the built-in functions of MATLAB can be used to
solve systems of linear equations, ODEs, roots of transcendental
equations, statistical problems, optimization problems, control
systems problems, and stress analysis problems. These built-in
functions are essentially black boxes to students. By combining
MATLAB with basic numerical and analytical techniques, the mystery
of what these black boxes might contain is somewhat alleviated.
This classroom-tested text first reviews the essentials involved
in writing computer programs as well as fundamental aspects of
MATLAB. It next explains how matrices can solve problems of linear
equations, how to obtain the roots of algebraic and transcendental
equations, how to evaluate integrals, and how to solve various
ODEs. After exploring the features of Simulink, the book discusses
curve fitting, optimization problems, and PDE problems, such as the
vibrating string, unsteady heat conduction, and sound waves. The
focus then shifts to the solution of engineering problems via
iteration procedures, differential equations via Laplace
transforms, and stress analysis problems via the finite element
method. The final chapter examines control systems theory,
including the design of single-input single-output (SISO)
systems.
Two Courses in One Textbook
The first six chapters are appropriate for a lower level course at
the sophomore level. The remaining chapters are ideal for a course
at the senior undergraduate or first-year graduate level. Most of
the chapters contain projects that require students to write a
computer program in MATLAB that produces tables, graphs, or both.
Many sample MATLAB programs (scripts) in the text provide guidance
on completing these projects.
General
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