Math 220 Homepage, Autumn 2012
Partial Differential Equations of Applied Mathematics
Office: 383M
Phone: 723-2226
E-mail: andras "at" math.stanford.edu
Office hours: Tentative office hours for the first week: Tuesday
2:15-3:45, Friday 2-3:30.
Week 2-3: M 1-2, T 3:30-4:30, F 11-12.
Week 4 onwards (except Mon, November 12, and Wed, December 5): M
1-2, T 3:30-4:30, W 10:30-11:30.
Office hour on Wednesday,
December 5, 10:30-11:30 is moved to 9:30-10:30. Extra office hours
during the last week of classes: Wednesday, December 5, 1-2pm and
Thursday, December 6, 3:30-4:30pm.
NEW Class location: TTh 9:30-10:45am, Herrin T175.
Course assistant: Fayadhoi Ibrahima.
E-mail: fibrahim "at" stanford.edu
Office hours:
-
Monday 2-4pm held in 320-106.
-
Wednesday 1-3 held in 20-21G.
-
Thursday 5-7 held in 50-51B.
Note updated time on
Thursday!
The office hour on Thursday, December 6, is moved to Friday,
December 7, 2:15-4:15pm, in 20-21G.
Textbook: due to the availability of lecture notes, the following are
all `recommended'.
-
Strauss' `Partial Differential Equations: An introduction' covers most
topics, but the course
is at a higher level, especially regarding first order PDE's, which is
the first major topic covered, as well as distributions and the Fourier
transform.
-
Evans' `Partial Differential Equations' is
a more advanced text, and it covers course topics not dealt with in Strauss'
book.
-
Pinchover and Rubinstein's `An introduction to partial differential
equations'. This is a fairly good match for the level of difficulty of
the course, though does not necessarily cover the same topics/the same way.
-
All of these, as well as John's `Partial Differential Equations'
will be on reserve at the Math CS library.
The running syllabus is here.
Grading policy: The grade will be based on the weekly homework (25%),
on the in-class midterm exam (30%) and on the in-class (i.e. not
take-home, to take place during finals week, as designated by the
registrar)
final exam (45%).
The homework will be due in class or in the instructor's mailbox by 9pm
on the designated day, which will usually (but not always)
be Thursdays. You are
allowed to discuss the homework with others in the class,
but you must write up your
homework solution by yourself. Thus, you should understand the solution,
and be able to reproduce it yourself. This ensures that, apart from
satisfying a requirement for this class, you can solve the similar
problems that are likely to arise on the exams.
The registrar has now confirmed that the final exam will be on Monday,
December 10, 12:15-3:15pm in Herrin T175.
The exam has been graded!
The mean for the exam was 151
points out of 200; the median was 157.5. There is no grade for
the final -- the course grade, as described above, has a number of
components, and it is the actual scores that count. To give you an
idea what your score corresponds to, i.e. what your course grade might be
if you do similarly on the midterm and on the homeworks (similarly does not
mean that you have a similar percentage of the maximum score,
e.g. on the homeworks the expectations
are much higher since you have a lot more time to do them and since
you can talk to others),
here are some rough ranges:
- A+: low-190s and above,
- A: mid 160s to 190ish,
- A-: high 150s-low 160s,
- B+: mid 140s-mid 150s,
- B: low 120s to low 140s,
- B-: 110ish-high 110s,
- C+: 100s,
- C: mid 80s-high 90s,
- C-: low 70s-low 80s,
- D: 50s-60s,
- F: below.
The exam is 3 hours, and covers all the material from the course, with
some emphasis of the material since the midterm, including the Fourier
transform. Please see the syllabus for details
of what was covered after the midterm.
Please arrive a few
minutes early (so by 12:10) so that we
can start on time. You will be asked to write the first problems
(whose number will be specified)
in blue book no. 1, the rest in blue book no. 2, to facilitate the
grading. The exam is closed book, notes, computers, etc.
To prepare for the exam, first read through the lecture
notes, then go through the problem sets, and finally attempt the
practice exam (which was an actual exam in 2009).
There is a practice final with solutions.
Please let me know about any issues about the practice solutions as
they were not carefully proofread (the current version is the update
from December 6).
The midterm is on Thursday, November 1, in class!
The exam has been graded!
There was a rather broad distribution of scores. The mean was 74
points out of 100; the median was 81. There is no grade for
the midterm -- the course grade, as described above, has a number of
components, and it is the actual scores that count. To give you an
idea what your score corresponds to, i.e. what your course grade might be
if you do similarly on the final and on the homeworks (similarly does not
mean that you have a similar percentage of the maximum score,
e.g. on the homeworks the expectations
are much higher since you have a lot more time to do them and since
you can talk to others),
here are some rough ranges:
- A+: mid-90s and above,
- A: low 80s to low 90s,
- A-: 80ish,
- B+: mid 70s,
- B: low 60s to low 70s,
- B-: mid 50s to 60ish,
- C+: low 50s,
- C: 40ish-50ish,
- C-: mid-30s,
- D: 20ish-low 30s,
- F: below.
The exam is 75 minutes, and covers the material through the first
Fourier transform handout and Problem Set 5 (inclusive). Please arrive a few
minutes early (so by 9:25) so that we
can start on time. You will be asked to write the first two problems
in blue book no. 1, the rest in blue book no. 2, to facilitate the
grading. The exam is closed book, notes, computers, etc.
To prepare for the exam, first read through the lecture
notes, then go through the problem sets, and finally attempt the
practice exam (which was an actual exam in 2009).
There will be five problems on the exam. You will be asked to do the
first three, as well as one of Problems 4 and 5 (i.e. you will have a
choice).
There is a practice midterm with solutions.
Lecture Notes
Below are preliminary versions of the lecture notes, from the version
taught in 2009, which will be revised as the course progresses.
Problem Sets
- Problem Set 1, due Thursday, October
4. Solutions.
- Problem Set 2, originally due Thursday,
October 11, extended to Monday, October 15.
Solutions, thanks to our CA, Fay.
- Problem Set 3, due Thursday,
October 18. Solutions, thanks to our CA, Fay.
- Problem Set 4, due Thursday,
October 25. Solutions, thanks to our CA, Fay.
- Problem Set 5, due Tuesday,
October 30, due to midterm on Thursday, November 1. Solutions, thanks to our CA, Fay.
- Problem Set 6, due Thursday,
November 15.
There was a typo
on Problem 2 in the photocopied version handed out in class; the
online posted version corrects it (the function on line 2 should be
psi, and it is Schwartz, i.e. no prime is needed).
Solutions, thanks to our CA, Fay.
- Problem Set 7, due Thursday,
November 29. Solutions, thanks to our CA, Fay.
- Problem Set 8, due Thursday,
December 6. Solutions, thanks to our CA,
Fay -- the solution of the optional problem is corrected as compared
to the originally posted version.