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\begin{document}

\begin{center}
{\Large \bf EML 4930/5930 \hfill Spring 2009 } \\
{\Large \bf Analysis in Mechanical Engineering II } \\
{\Large \it Van Dommelen }
\end{center}

\section{Catalog Description}
\label{catalog}

None.

\section{Credit Hours}
\label{credit}

3

\section{Prerequisites}
\label{prereqs}

EML 5060, Analysis in Mechanical Engineering I or equivalent.

\section{Textbooks}
\label{books}

\begin{enumerate}
\item Spiegel, Murray S. {\it Vector Analysis} Schaum's Outline Series
  (McGraw-Hill) 1959.  ISBN 07-060228-X.
\item DuChateau, Paul \& Zachmann, David W, {\it Partial Differential
    Equations} Schaum's Outline Series (McGraw-Hill) 1986.  ISBN
  0-07-017897-6
\item Spiegel, Murray R, \& Liu, John, {\it Mathematical HandBook of
    Formulas and Tables} Schaum's Outline Series (Mc\-Graw-Hill) 2nd
  edition 1999.  ISBN 0-07-038203-4.  (Recommended, but any
  mathematical handbook is allowed.)
\end{enumerate}

References:
\begin{enumerate}
\item {\it Advanced Engineering Mathematics} by Peter V. O'Neil.
  Thomson-Engineering; 6th edition, 2007. ISBN: 0-534-55208-0.
\end{enumerate}

\section{Instructor}
\label{instructor}

Dr. Leon Van Dommelen:

\begin{description}

\item[Office hours]
\htlink{M 11:00-12:00, R 10:30-11:30 am in A242 CEB}
{http://www.eng.fsu.edu/~dommelen/contact}

\item[Phone]
(850) 410-6324. I tend to forget to check my voice mail.

\item[E-mail]
\htmailto{dommelen@eng.fsu.edu}

\item[Web page]
\hturl{http://www.eng.fsu.edu/~dommelen/index.html}

\item[Contact information]
\htlink{See web page}{http://www.eng.fsu.edu/~dommelen/contact}

\end{description}

\section{Teaching Assistant}
\label{TA}

None

\section{Schedule}
\label{schedule}

Class times: MWF 9:40-10:30 am in A226 CEB (A building).

We will start with vector analysis, then proceed to PDE.

\begin{itemize}
  
\item 01/07/09 W
\item 01/09/09 F

\vskip\baselineskip

\item 01/12/09 M
\item 01/14/09 W
\item 01/16/09 F HW 1

\vskip\baselineskip

\item 01/19/09 M Martin Luther King day.
\item 01/21/09 W
\item 01/23/09 F HW 2

\vskip\baselineskip

\item 01/26/09 M
\item 01/28/09 W
\item 02/30/09 F HW 3
  
\vskip\baselineskip

\item 02/02/09 M
\item 02/04/09 W
\item 02/06/09 F HW 4

\vskip\baselineskip

\item 02/09/09 M
\item 02/11/09 W
\item 02/13/09 F HW 5

\vskip\baselineskip

\item 02/16/09 M
\item 02/18/09 W
\item 02/20/09 F HW 6

\vskip\baselineskip

\item 02/23/09 M
\item 02/25/09 W Mid Term Exam
\item 02/27/09 F HW 7

\vskip\baselineskip

\item 03/02/09 M
\item 03/04/09 W
\item 03/06/09 F HW 8

\vskip\baselineskip

\item 03/09/09 M Spring Break
\item 03/11/09 W Spring Break
\item 03/13/09 F Spring Break

\vskip\baselineskip

\item 03/16/09 M
\item 03/18/09 W
\item 03/20/09 F HW 9

\vskip\baselineskip

\item 03/23/09 M
\item 03/25/09 W
\item 03/27/09 F HW 10

\vskip\baselineskip

\item 03/30/09 M
\item 04/01/09 W
\item 04/03/09 F HW 11

\vskip\baselineskip

\item 04/06/09 M
\item 04/08/09 W
\item 04/10/09 F HW 12

\vskip\baselineskip

\item 04/13/09 M
\item 04/15/09 W
\item 04/17/09 F HW 13

\vskip\baselineskip

\item 04/20/09 M
\item 04/22/09 W
\item 04/24/09 F HW 14

\vskip\baselineskip

\item 04/28/08: Final Tuesday 3-5 pm

\end{itemize}

\section{Outcomes}
\label{outcomes}

The specific desired outcomes for the students are:
\begin{itemize}
\item Distill the mathematical part of a mechanical engineering
  problem containing a full mathematical problem in the areas of
  vector calculus and/or partial differential equations covered in
  class.
\item Solve the problem mathematically.
\end{itemize}

Listing of specific problems included are in the lecture notes, old
exams, and in homework assignments.

\section{Course Outline}

The course will likely cover:

\begin{itemize}
\item {\it Vectors and fields.}  Vectors and fields and their
  application to areas fluid mechanics, solid mechanics, and
  electromagnetics.
\item {\it Vector differentiation.} Vector differentiation and its
  application to data presentation, geometry, and mechanics.
\item {\it Vector integration.} Vector integration, gradient, divergence and
  curl, and its application to heat transfer, fluid mechanics and
  electromagnetics.
\item {\it Curvilinear coordinate systems.} Curvilinear coordinate systems
  and their applications.
\item {\it Basic partial differential equations.}  Basic partial
  differential equations, their application areas in mechanical
  egineering.
\item {\it Qualitative properties.} Qualitative properties of solutions of
  partial differential equation; smoothness, characteristics, properly
  posedness, and their relation to subsonic versus supersonic flows,
  wave fronts, Mach lines, acoustics.
\item {\it Green{\rq}s functions.} Green{\rq}s functions and their
  application to problems in heat conduction and ideal flows.
\item {\it Separation of variables.} Separation of variables and its use
  for solving heat transfer and flow problems in mechanical
  engineering.
\item {\it Laplace transforms.} Laplace transforms and their use for
  solving heat transfer and flow problems in mechanical engineering.
\end{itemize}

\section{Methods of Instruction}

Lectures, problem solving sessions, examinations.

\section{Student Evaluation}
\label{evaluation}

The course grade will be computed as:

\begin{itemize}
\item Homework: 20\%
\item Midterm: 40\%
\item Final: 40\%
\end{itemize}

Grading is at the discretion of the instructor.

\section{Important Regulations} \
\label{regulations}

\input{../../../policy.tex}

\section{Computer Requirements}
\label{computer}

Students must have an E-mail address and daily check their E-mail.
Students must be able to use a Web browser such as Netscape.  The
class web page can be accessed at:\\
\centerline{\hturl{http://www.eng.fsu.edu/~dommelen/courses/aim2}}

If you are taking this class remotely, contact
\htlink{the FEEDS office}{http://www.eng.fsu.edu/feeds}
for requirements.

\end{document}
