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ME 5228Lecture:
T,Th, 9:05-11:00 AkerH 209 (Sue
Mantell, office ME 303, smantell@me.umn.edu, 625-1324) Teaching
Assistant:
Course Website:
http://www.me.umn.edu/courses/me5228 Objective:
This is an introductory level course in the fundamentals of the finite
element method for engineers and scientists.
The course will emphasize the numerical techniques behind the finite
element method.
Course Outline: I.
Introduction to mathematical concepts II.
Weighted integral and weak formulations of differential equations III.
FE formulation of second order equations in one dimension (i.e., heat
transfer, flow through porous media, axial deformation of a bar, and
electrostatics) IV.
FE formulation of beam bending problems V.
Convergence and errors in finite element analysis VI.
Numerical integration and computer implementation VII.
Interpolation functions VIII.
FE formulation of two dimensional problems with a
single variable (i.e., heat transfer, torsion of members with a constant
cross section, electrostatics) TEXTBOOK:
J.N. Reddy, An
Introduction to the Finite Element Method, 2nd Edition, McGraw
Hill, 1993. (ISBN
0-07-051355-4) PREREQUISITES: Linear/Matrix
Algebra, Ordinary Differential Equations, knowledge of a structured programming
language (Fortran, C, C++, or Matlab) GRADING:
Homeworks
30%
Exams (2)
30%
Final Exam (Tues, December 16, 2003; 10:30 am -12:30 pm) 30%
Project
10%
Grades will be based on a percentile scale as follows:
A: 90-100%, B:
80-89 %, C: 70-79 %, D:
60-69 %
+/- grades will be assigned within these groupings.
Once a graded
exam has been returned you have up to 5 days to request a regrade. The regrade request must be submitted in writing and the
discrepancy clearly described. The
entire document however is subject to regrade and not just the question in
dispute. EXAMS:
Only a one page "cheat"
sheet will be allowed for exams. Please see the lecture schedule for exam dates
and topics.
HOMEWORK
POLICY: Homework assignments are
designed to prepare you for the exams. Homework
will be due on Fridays by 2pm. You
may turn in your homework during class (on Thursday) or to Prof. Mantell’s
office (ME303). Please do not turn
in any homework to an open mailbox as it is not secure (in the past homework has
been taken from an open mailbox). Solutions will be posted on the web by the
following Monday. Homework will be graded on a scale of 0-10.
Several problems will be randomly selected and graded in their entirety.
The overall homework grade will be based on (1) completeness of the assignment
(i.e. all problems completed)-3pts, (2) solution method employed on the selected
problems-4 pts, and (3) correctness of the answer to the selected problems 3pts.
Your lowest homework score will be discarded. If you miss a homework, it will count as your discarded
score. No late homeworks (after
2:00 pm on Friday) will be accepted. PROJECT:
The project will be assigned at
midsemester. INCOMPLETES:
The grade of "I" is awarded only in the case of exceptional and
verifiable severe illness or tragedy. An
"I" will not be awarded because you are doing poorly in the class.
You must have completed all but a small portion of the work of the course
for an "I" to be considered. The
assignment of an I grade requires a written agreement between the instructor and
student specifying the time and manner in which the student will complete the
course requirements during the student’s next period of enrollment. CONDUCT
AND DISCIPLINE: The work you turn in must be clearly recognizable as your own. Plagiarism includes copying “word for word” or
paraphrasing very closely text found in a book, journal article, or
classmate’s lab write-up. The
minimum penalty for plagiarism is receiving a “0” for the entire assignment.
In addition, a letter documenting the offense will be sent to the IT
Conduct Code Coordinator. If more
than one offense is recorded in the Conduct Code file, I will recommend
probation, suspension or expulsion from the Institute of Technology. Review
the Conduct and Discipline Statement available at the web site:
www.it.umn.edu/students/courses/scholpol.html. University policy
prohibits sexual harassment as defined in the 5/17/84 policy statement. Copies
of the statement are available at 419 Morrill Hall. Complaints of sexual
harassment should be reported to the University Office of Equal
Opportunity, 419 Morrill Hall. CLASS
ATTENDANCE: While attendance will not
be taken, attendance at all lectures and recitations is expected. You will be
held responsible for all material presented in lecture and recitations.
Some material will be presented in the recitations that will not be
covered in lecture. The instructor and the teaching assistants will not
provide copies of notes for any missed lectures or recitations.
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