MTH 482/582 Mathematical Methods for Engineers and Scientists, Partial Differential Equations
Fall, STAG 111 , MWF, 9:00-9:50pm
Instructor:
Prof. Juan M. Restrepo
Office/Phone: Kidder Hall Rm 46,
(520) 990-4866 (email is best)
Office hours:
M 10:00 p.m. -- 12:50 p.m.,
or by appointment. (I could not get a tuesday to work...)
Email:
restrepo@math.oregonstate.edu
Homepage:
www.science.oregonstate.edu/~restrepo
Prerequisites
: MTH 254 and MTH256 or their equivalent, MTH 481 would be helpful but not essential.
Texts:
We will draw from a variety of sources. The two main sources will be
the books by Berg and McGregor "Elementary Partial Differential Equations,"
and J. David Logan's Applied Partial Differential Equations."
Both books are available, used. The former is quite good on bounded domain problems, the former has some nice material on unbounded domains problems.
(More advanced: Two good reference books
for engineers and scientists are:
Peter Olver's "Introduction to PDE's" (engineering and math friendly),
and Renardi's "PDE's" book, which is a good "mathy" intro book. A
very good graduate level math PDE text would be Evans' book).
Learning objectives:
|
| • |
| • |
| • Has command of applied Sturm-Liouville theory and Fourier Series. |
| • Can apply Fourier and Laplace transforms to solving differential equations. |
| • Has developed an intuition on how these PDE's arise in physical problems.. |
Exams:
There will be 1 midterm
The midtern exam is Feb 21. Makeup midterms are due on the last class.
This is strict.
March11, 2020: NEW INSTRUCTIONS, REGARDING MIDTERM, HOMEWORK, FINAL: Send ALL outstanding work via email.
CLASS ON FRIDAY March 13 HAS been cancelled, but check here for updates. CLASS NOTES ARE POSTED. I am going to post a few more problems. Should be posted at 10pm March 12.
Midterm Re-do should be sent by Friday March13, at 11am, to restrepo@math.oregonstate.edu. PLEASE BE SURE TO send a legible document and the email subject line should be 482/582 MIDTERM RE-DO.
HW6: Homework should be sent by Friday March13, at 11am, to hosseina@oregonstate.edu. PLEASE BE SURE TO send a legible document and the email subject line should be 482/582 HW 6.
FINAL. should be sent by Monday March16, at 11am, to restrepo@math.oregonstate.edu. PLEASE BE SURE TO send a legible document and the email subject line should be
482/582 FINAL. This is the only way your exam will be accepted.
Hints on 1: use superposition u=v+w. Solve for v and don't forget to substitute that solution into the w equation which will take a modified initial condition.
I take off points for messy work.
Posted solutions to midterm and final are found in assignment page
No make-up
midterms or final exams will given, unless you have a documented emergency.
HOW TO SUCCEED IN THIS COURSE:
This course requires a lot of time. Plan accordingly: for every hour of
class time, plan on 2-3 hours of study time.
Most students who find this course challenging have poor command of calculus.
Many students who perform best, not surprisingly, are those that seek help during office hours from the instructor or the recitation instructor.
Make time for office hours. It's one of the best and fastest ways to clarify questions and perform better in exams
The exams are structured to reward hard work and/or for being clever.
On clear and structured ideas is where these criteria will be applied.
If you come prepared for the exam, you should be able to do well. Specifically, there will be problems from the homework and from
the class: this is 60% of your grade. The rest is based upon the material assigned. That means that there is no reason to have less than 60/100 if you were doing all of your homework and attending class.
This class moves fast and you will find
it difficult to catch up if you fall behind.
Be sure to seek help
immediately if you are having trouble with any concepts
by asking questions in class, by making full use of the free
tutoring services provided by the MLC located in Kidder 108,
| Grading information:
|
| Homework | 100 points |
| 1 Midterm Exam | 200 points |
| Final Exam | 200 points |
| Total points possible | 500 points |