Lecture times. MWF 11:15am-12:05pm at Smith Hall 221
Instructor. Francisco-Javier Sayas. 532 Ewing Hall. fjsayas (at) math.udel.edu
Office hours. MWF 8:00am-9:00am or by appointment. You are encouraged to use the office hours for personal or group discussion with your instructor. Do not hesitate to ask for appointments for office hours if you cannot make it at the scheduled times or you have an urgent question. Asking question by e-mail is NOT recommended.
Textbook. J David
Logan. Applied Mathematics (3rd edition)
Website.
www.math.udel.edu/~fjsayas/teaching/math616
Course description and list of topics
Introduction to ideas and techniques used in solving problems arising in a variety of physical settings. Stability of nonlinear systems of ODE's. Sturm-Liouville problems and Green's functions. The wave, heat and Laplace equations. Elementary analysis of some nonlinear PDE's. Elementary perturbation theory.
We will cover some of the following topics, not necessarily
in this order.
- Dimensional analysis
- Regular and singular perturbation
- Calculus of variations
- The Laplace transform
- Weak differentiation
- The Fourier transform
- Stability for systems of ODEs
- Eigenvalues of elliptic operators
Evaluation
The final grade will be composed of four quizzes and two exams. Some of the quizzes will be taken during lecture time, while some others will be to work at home.
| QUIZZES |
500 |
125 each (four quizzes) |
| EXAM
#1 |
250 |
October 14 |
| EXAM
#2 |
250 |
December 2 |
| TOTAL |
1000 |
Check the continuously updated calendar at the Schedule Page
of the course website for concrete dates of quizzes and exams.
Part of the grade will reflect the quality of the
argumentation and the clarity of its exposition. Solutions
limited to formulas spread over the page will get less credit
than solutions that are well explained. (Use the book as an
example of how to write.)
Attendance policy
Attendance to lectures is highly encouraged and will be taken
into account in cases where round-off is needed in the final
grade.
Academic honesty
As worded by the University of Delaware All students must be honest and forthright in their academic studies. To falsify the results of one's research, to steal the words or ideas of another, to cheat on an assignment, or to allow or assist another to commit these acts corrupts the educational process. Students are expected to do their own work and neither give nor receive unauthorized assistance. Any violation of this standard must be reported to the Office of Student Conduct. For more details, check http://www.udel.edu/stuguide/09-10/code.html#honesty Unless you are asked to do so in a concrete assignment, you cannot collaborate with your colleagues in assignments and projects. Cheating of any kind (even if the student does not take any advantage from it) will be grounds for an F grade.