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{\Large \bf EML 5060 \hfill Fall 2002 } \\
{\Large \bf Analysis In Mechanical Engineering} \\
{\Large \it Van Dommelen }
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\section{Catalog Description}
\label{catalog}
This course will familiarize students with methods of analysis in
mechanical engineering. Surveys applications of integration and
series, ordinary and partial differential equations, and linear
algebra.
\section{Credit Hours}
\label{credit}
3
\section{Prerequisites}
\label{prereqs}
Graduate/Senior standing in Mechanical Engineering. (Assumes
undergraduate exposure to calculus, and ordinary differential
equations, and to some Fourier series, Laplace transforms, linear
algebra, and separation of variables for partial differential
equations.)
\section{Textbooks}
\label{books}
\begin{enumerate}
\item Ayres, Frank Jr \& Mendelson, Elliott, {\it Calculus} Schaum's
Outline Series (McGraw-Hill) 4th edition 1999. ISBN 0-07-041973-6
(Check your book: my copy is missing pages 501-532 and has 533-564
double!)
\item Lipschutz, Seymour, {\it Linear Algebra} Schaum's Outline Series
(Mc\-Graw-Hill) 3th edition 2001. ISBN 0-07-136200-2
\item Bronson, Richard, {\it Differential Equations} Schaum's Outline
Series (Mc\-Graw-Hill) 2nd edition 1994. ISBN 0-07-008019-4
\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.)
\item Downing, Douglas, {\it Dictionary of Mathematics}
2nd Ed, Barron's 1995. ISBN 0-8120-3097-4 (not required but useful
if you forgot a lot of basic mathematics concepts.)
\end{enumerate}
\section{Instructor}
\label{instructor}
Dr. Leon Van Dommelen:
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\item[Office hours]
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M 12-2 pm, W 12-1 pm, in A 242 CEB (old building.)
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\item[Phone]
(850) 410-6324. I tend to forget to check my voice mail.
\item[E-mail]
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dommelen@eng.fsu.edu
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\item[Web page]
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http://www.eng.fsu.edu/$\sim$dommelen/index.html\
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\item[Contact information]
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See web page
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\section{Teaching Assistant}
\label{TA}
Jack Tsai
\begin{description}
\item[Office hours] 1-4 pm T
\item[Room] B 307 (new building).
\item[Phone] 410-6575
\item[E-mail]
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tsai@eng.fsu.edu
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\section{Schedule}
\label{schedule}
Class times: MW 9:50-10:40, F 11:50-12:40 in 226 (A building).
Predetermined dates:
\begin{itemize}
\item 08/30/02 Test 1 due \\
\item 09/06/02 HW Calc I due \\
\item 09/13/02 HW Calc II due \\
\item 09/20/02 EXAM I CALCULUS (delayed) \\
\item 09/23/02 HW Lin I due \\
\item 09/30/02 HW Lin II due \\
\item 10/07/02 HW Lin III due \\
\item 10/14/02 HW Lin IV due \\
\item 10/21/02 EXAM II LINEAR ALGEBRA (delayed) \\
\item 10/25/02 HW ODE I due \\
\item 11/01/02 HW PDE I due \\
\item 11/04/02 EXAM III ODE \\
\item 11/13/02 HW PDE II due \\
\item 11/20/02 HW PDE III due \\
\item 11/27/02 HW PDE IV due \\
\item 12/04/02 HW PDE V due \\
\item 12/06/02 HW PDE VI due \\
\item 12/11/02 Final Wednesday 12:30-2:30 pm (FSU schedule)
%\item 12/13/02 Final Friday 10:00-12:00 noon (FSU schedule)
\end{itemize}
\section{Goals}
\label{goals}
This course has several objectives, including:
\begin{itemize}
\item Refresh the student's memory about basic mathematics;
\item Show how mathematical techniques fit in the real-life world
encountered by a mechanical engineer;
\item Introduce some advanced techniques, in particular in linear
algebra and partial differential equations;
\item Prepare students for departmental exams such as the Ph.D.
Qualifying exams.
\end{itemize}
The specific desired outcomes for the students are:
\begin{itemize}
\item Distill the mathematical part of a given problem containing a
full mathematical problem in one of the area of calculus, linear algebra,
ordinary, 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
eaxms, and in homework assignments.
\section{Course Outline}
The course will likely cover:
\begin{itemize}
\item {\it Basic procedures.} Calculus and its application to
optimization, estimation of area, volume and moments of inertia,
approximation procedures, velocity and force fields.
\item {\it Linear systems.} Linear algebra and its application to the
determination of static loads, static determinacy, principal axes,
and natural frequencies.
\item {\it Systems governed by ordinary differential equations.}
Problems giving rise to ordinary differential equations, their
classification and solution procedures,
\item {\it Systems governed by partial differential equations.}
Classification and corresponding fundamental differences between
vibration, unsteady heat conduction, fluid flow and other problems
and solution procedures.
\end{itemize}
\section{Methods of Instruction}
Lectures, problem solving sessions, examinations, web-based information.
\section{Student Evaluation}
\label{evaluation}
The course grade will be computed as:
\begin{itemize}
\item 05\% Test 1 (Separate handout.)
\item 30\% Homework (See requirements below.)
\item 15\% Exam 1
\item 15\% Exam 2
\item 15\% Exam 3
\item 20\% Final
\end{itemize}
Grading is at the discretion of the instructor. Because of the number
of students who received $C$ range grades in this class and did not
repeat it, grading at the lower end will be tough.
\section{Important Regulations} \
\label{regulations}
\begin{enumerate}
\item Immediately check the dates listed above for any conflicts.
\item Homework must be handed in at the {\em start} of the lecture at
which it is due. It may {\em not} be handed in at the departmental
office or at the end of class. Homework that is not received at the
start of class on the due date listed above cannot be made up unless
permission to hand in late has been given {\it before} the homework
is due, or it was not humanly possible to ask for such permission
before the class. If there is a chance you may be late in class,
hand the homework in to the instructor the day before it is due.
(Shove it under his door if necessary.) This also applies to Web
students: they must E-mail the homework before the time the class
starts.
\item Homework should be neat.
% the below is ../../../legal.tex
\item Students are bound by the rules and regulations in their
University bulletin, as well as by those specified in this syllabus,
and by the usual standards applied by the College of Engineering.
Read your academic bulletin. Violations of the rules and regulations
in your bulletin may result in reduced grades and/or other actions.
\item Students are bound by the honor code of their university. It
requires you to uphold academic integrity and combat academic
dishonesty. Please see your student handbook. Violations of your
honor code may result in reduced grades and/or other actions.
\item {\it Copying} of homework, assignments, or tests is never
allowed and will result in a failing or zero grade for the copied
work. It will also result in a failing or zero grade of the person
whose work is being copied if that person could reasonably have
prevented the copying. However, {\it working together} is typically
allowed and encouraged for most homeworks, (and sometimes for other
take-home assignments,) as long as you present the final results in
your own words and using your own line of reasoning. Since close
similarities between solutions will reduce credit, it is better not
to formally put down anything until you have figured out the
problem, and then let each person write their own solution. If it
is unclear whether working together is allowed on any assignment,
check with the instructor beforehand.
\item Attendance is required. Exams missed, even when rescheduled
from the original date and surprise tests, or homework not handed in
on time due to unexcused absence or lateness will result in a zero
grade for that exam and/or homework. Failure to properly complete
homework, tests, assignments, etcetera due to changes in date,
assignment, etcetera, that you did not know about due to unexcused
absence, lateness, or inattentiveness will not be excused and cannot
be made up.
\item For excused absences where the student has given advanced notice
of the absence at the earliest opportunity, the instructor will work
with the student to arrange for make-up work and tests.
\item The total grade is further reduced due
to unexcused absences or lateness. See the instructor for details.
Even a few absences will make it impossible to pass the class.
Typically, four unexcused absences result in an F grade regardless
of numerical performance. Conscientious attendance is required for
a confident determination of your mastery of the subject matter to
be made. In other words, this class cannot be taken like a DIS
unless a faculty member will allow you to do so under formal DIS
rules with appropriately modified grading and testing standards.
\item The College of Engineering has a restrictive interpretation of
what is considered a valid excuse for an absence. If an absence is
to be excused, make sure you at least get official confirmation by
phone that it will be granted beforehand.
\item The instructor will make sure that make-up tests are no simpler
than the original, but he will try to make them similarly difficult.
However, he cannot make allowances for increased difficulty due to
the small sample size.
\item The College of Engineering has a more restrictive drop-add
period than you might think based on your bulletin. Check both your
bulletin and the Dean's office to determine whether drop-add will be
allowed.
\item Some of these rules may not apply if you fall under the
Americans with Disabilities Act. FAMU students with disabilities
needing academic accommodations should contact Student Health
Services for confirmation of permanent physical disability, FSU
students should register with and provide documentation to the
Student Disability Resource Center. Next bring a letter to the
instructor from the Services or Center indicating you need academic
accommodations. This should be done during the first week of
classes.
\item The instructor might wave some regulation on a case-by-case
basis depending on his subjective determination of fairness and
appropriateness. This will occur only under exceptional
circumstances and should not be assumed. Especially, never assume
that a seemingly minor regulation will be waived because the
instructor has waived it in the past. A second appeal to waive a
minor regulation will probably indicate to the instructor that the
regulation is not being taken seriously and most likely refused.
Any appeal to the instructor will further be refused a priori unless
it is done at the earliest possible moment by phone and/or by
E-mail. Do not wait until you are back in town, say.
\end{enumerate}
\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
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http://www.eng.fsu.edu/~dommelen/courses/aim/index.html
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If you are taking this class remotely, see the
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departmental web page
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for requirements.
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