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Objective
Course Material
Course Format
Reading Assignments
Homework
Exams
Computer Laboratory
Grading
Code of Ethics
Office Hours
Objective
To acquire the necessary skills to be able to understand and use
concepts and methods of applied mathematics in the
solution of scientific and engineering problems.
Course Material
Functions of a complex variable.
Solution of ordinary differential equations. Method of Frobenius, Sturm-Liouville problems,
orthogonal functions and orthogonal series (including Fourier, Bessel and Legendre series). Vector calculus. Calculus of
variations, Lagrange multipliers. First and second order partial differential equations. Separation of variables in
rectangular, cylindrical and spherical coordinates.
Course Format
The format of the class consists
of lectures, reading assignments and their discussion, weekly
homeworks, and two quizzes.
Reading Assignments
Weekly assignments from the
text
as indicated in
the
course outline .
Fulfillment of the weekly reading
assignments is mandatory.
Homework
Homework problems will be assigned weekly.
Electronic answers are due the
following week and will be graded.
Students unable to attend class must still submit their homework by
the deadline via e-mail since no homework
will be accepted past the deadline.
Student homework will be posted on the class web page.
Homeworks must be submitted in a format allowing easy viewing
under any standard web browser. Each student is personally responsible
for ensuring his or her homework is professionally displayed.
Please take note of the following standards concerning homework:
Include all your answers into a single file.
Write in the RE line of your message: NAE - hw #
Write your name, the class name and the homework number at the beginning of the file.
Save the file as html (or at least as text - with line breaks -)
prior to sending it.
Save graphs and pictures as gif or jpg files prior to sending them
and if there are several of them, send them neatly organized and numbered.
If "save as html" from Word proves impractical, send the original file.
Please make sure to inspect the posted copy of your homework
and to report any problems.
Exams
Two quizzes as indicated in the course outline.
Computer Laboratory
There is no need for you to write programs from scratch for this course
although you are of course free to do so. Both "in-house",
public domain and commercial codes will be available to you to
perform all the necessary computations for this course.
Students can use the Sun network for all coursework in
this class. For information on login IDs and passwords
please send a message to
TIS.
To do the work on their own PC, two
additional pieces of software are required:
a compiler (Fortran, C or Pascal) and
a symbolic mathematical manipulator (Maple or Mathematica).
Students are expected to develop familiarity not only with basic
high level programming, but also with symbolic manipulation
software (Maple), electronic typesetting (Latex) and with
scientific graphing programs such as Gnuplot.
Grading
Grades will be assigned based on the following scale and criteria:
A : Outstanding
B : Good
C : Sufficient
D : Fail
I welcome inquiries about grades but you must make convincing arguments
about the correct place of your work on the above scale .
Please note that incomplete homeworks can not receive a grade of A.
The final grade will be calculated from the contributions of the three
graded components as follows:
Quiz 1: 30%
Quiz 2: 30%
Homework and Reading Assignments: 40%
Code of Ethics
Ethical and professional conduct is expected from everyone. Violations
of this code such as academic dishonesty, misrepresentation and plagiarism
will not be tolerated. Failing grades will be assigned to any student
who is found to engage or participate in unethical behavior.
Office Hours
Open, but only by previously arranged appointment.
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