Email:
For a timely response, include `Math 5474' in the subject line
Class Meeting Time :
Tuesday, Thursday 2:003.15pm, McBryde 233
Special needs:
If you need adaptations or accommodations because of a disability (learning
disability, attention deficit disorder, psychological, physical, etc.); if
you have emergency medical information to share with me; or if you need
special arrangements in case the building must be evacuated, please make an
appointment with me as soon as possible.
Text:
Finite difference schemes and partial differential equations (2nd Ed.) by
J. C. Strikwerda, Publisher: SIAM, ISBN: 0898715679.
Important:
If you buy the book through SIAM, there is a discount for SIAM members.
As a Virginia Tech graduate student, you can join SIAM for free.
Just follow the directions at:
How to join SIAM.
To buy the book from SIAM:
Text.
Course contents:
Math 5474 is a general introduction to the finite difference method.
The course is suitable and useful for mathematics, computer science,
and engineering students.
We discuss several common finite difference methods that are used
for partial differential equations in scientific and engineering applications.
The course provides a rigorous understanding of the mathematical concepts.
These are used to analyze finite difference methods and to understand the
differences between the various finite difference methods that are commonly
used.
The mathematical tools will be demonstrated with computer simulations
to better understand the mathematical concepts and recognize them
in computer simulations.
We also discuss (briefly) the programming of finite difference methods
and efficient computational methods.
A more detailed description can be found in
Overview of 5474.
Grading:
The numerative grade will be based upon
 Midterm test: 1/3 of final grade
 Final project: 1/3 of final grade
 Homeworks: 1/3 of final grade
All graded work counts. No scores are dropped.
The course grade will be assigned as follows:
90 guarantees an A (not an A)
80 guarantees at least a B (not a B)
70 guarantees at least a C (not a C)
60 guarantees at least a D (not a D)
+ and  grades will be given as well.
Homework policy:
Homework problems and due dates for homeworks will be posted on
my course website
.
Only selected problems will be graded (partial credit).
These problems will not be known
to students in advance. Except for problems selected for grading, homework
will not be marked.
Important
Submitted work should not only give the correct answer but also clearly
delineate the logic justifying the answer.
NO CREDIT SHOULD BE EXPECTED FOR CORRECT ANSWERS IF NO WORK IS SHOWN.

Allowed help on homeworks:
 Students may consult the textbook and class notes for homework.

Students may discuss
homework assignments with other students, your 5474 instructor, and get help
from
Tutoring Services.

Unallowed help on homeworks:

Copying a solution to a problem or a numerical code
from books, internet, or any other source is prohibited.

Using another person's solutions to the homework when writing up
an assignment is prohibited.
In writing up an assignment to be handed in, every student needs to work alone
(without other persons or other persons' papers). By handing in the homeworks,
a student certifies that what is written
accurately represents the student's own
understanding of the material expressed in the student's own words.

Late homework:
Homework that is handed in late is subject to a penalty (20 %) if it is
handed in before the homework is returned to the students,
typically at the beginning of the next class meeting.
Homework given after I have returned the graded homework will be given a zero.
To avoid a penalty or zero grade for a late homework
you must show convincing evidence/documentation that you had no alternative
(since homework problems are known well in advance, only a valid reason for
an absence of several days will be accepted as an excuse).
If you have a valid reason, I may allow you to hand
in homework late without any penalty or I may not count the particular
homework.
If you are unable to hand in a paper copy of the HW in time, you can submit a scanned
copy in time, and hand in the (identical) paper copy later.
Test Policy:
If a test can not be taken as scheduled, this should be communicated
to your instructor as early as possible.
Documentation from an appropriate
university office that shows that you had a reason that is serious,
unavoidable, and beyond your control, will be accepted.
If you miss the test for a valid reason, a make up test will be given during
the exam period. Otherwise, your case will be handled
on an individual basis.
Honor System:
The Virginia Tech Honor System applies to all graded work in this
course. Students are responsible for understanding and adhering to the
Honor Code. The inclusion in an assignment of work (from any source)
done by someone whose name does not appear on the assignment or the
inclusion of the reproduction (by any means) of such work is a violation
of the Honor Code unless this inclusion is used in a way explicitly
authorized by the instructor.
For additional information about the Honor Code, please visit:
Virginia Tech Honor System
Information
Attendance:
Although attendance does not count toward your grade, you are
responsible for any material that you miss in class.
If you miss a class, please copy the notes
from another student in class.
