|Contact:||The way to get in
touch with me is by email, kkirkpat(at)illinois.edu, with
"Math 442" in the subject line and
addressing me as "Professor Kirkpatrick."
If you're expecting an email from me and haven't received it, please check
all of your spam filters. |
|Time and place:||
Section X13/14: 12:00PM - 12:50PM on
156 Henry Administration Building
|| Mondays 4:00-4:50 pm, and Fridays 11:00-11:50am, or by appointment, in my
office, 231 Illini Hall. I would be
happy to answer your questions in my office anytime as long as I'm
not otherwise engaged. You are also welcome to ask questions before, during, and
I am committed to affirming the identities, realities and voices
of all students, especially students from historically marginalized
or under-represented backgrounds. I value the use of
self-specified gender pronouns and respect for all persons.
Please contact me to receive disability
accommodations. You should also know that I'm a mandatory reporter.
Walter A. Strauss, Partial Differential Equations: An
Introduction, John Wiley & Sons, 2008 (2nd ed.). Other editions are
okay for studying; homework problems come from the official
edition. There may be an online copy available.
Homework will be assigned regularly and collected in class. You may
turn HW in to my mailbox in 250 AH
before the end of class; homework turned in at my office will not
You are encouraged to work together on the homework, but
you should write up your own solutions to turn in separately. If
you go by two names, please put both of them on your homework.
Late homework will not be accepted or graded; instead I will drop your two lowest
Mathematics is something that you learn by doing: doing homework problems and explaining them to each
other. If, after thinking about them, you
get stuck or have
questions, I will be happy to help.
have a high probability of doing well in this class by combining
all of these resources: classes, textbook, homework, office hours,
and discussions with classmates.
There was only one in-class midterm, on February 21. ANNOUNCEMENT: Midterm 2 is
postponed from April 3 to April 10, and it will be open-book,
open-notes, and take-at-home. Ideally, you will have email access,
printer+scanner access or mark-up-on-a-tablet access, in order to
take the exam. PLEASE let me know ASAP if you don't have access to something. Each exam will be technically comprehensive but emphasizing recent material up to
the most recent graded and returned homework assignment.
The final exam will cover important topics of the whole course, emphasizing recent
material somewhat. The final exam is 8:00-11:00 a.m., Friday, May
15, and will be open-book, open-notes, and take-at-home.
Make-up exams will be given only for medical or other serious
reasons, and arrangements should be initiated by you as soon as possible.
You must work completely on your own during exams and
quizzes. My exams are fair and similar to
homework, so as long as you use the resources provided,
you should be fine. If you have difficulties or fall behind in the course, please come talk to me.
Homework: 20% of the course grade |
2 Midterms: 20% each
Final Exam: 40%
There will probably be a curve for the semester letter grades;
90% would be the highest cutoff for an A-, 80%
for a B-, and so on. If you are near a cutoff, I take your
attendance and lecture participation into account.
|Prerequisites:|| One of MATH 284, MATH 285, MATH 286, MATH 441.
Homework assignments and lectures (to be updated)
Week 1: Introduction: sections 1.1, 1.2
HW #0, due by 5pm the first Friday of the semester: please send me an email
introducing yourself, for instance, what name you prefer to be
called, your major and hobbies, why you're interested in PDEs, or anything else you
want to share or have questions about. It would also be helpful to attach a photo of
yourself to help me connect your face with your name.
Week 2: sections 1.3, 1.4, 1.5
HW #1, due by the end of class on the second Friday of the semester
(Jan. 31): Section 1.1: 11, 12; Section 1.2: 2, 7, 8.
Week 3: sections 2.1, 2.2
HW #2, due by the end of class on the third Friday of the semester
(Feb. 7): Section 1.3. #4; Section 1.4. #5; Section 1.5. #1, #2, #5
Week 4: sections 2.2, 2.3, 2.4
ANNOUNCEMENT: there will be a quiz in class on February 14, one week
before the first midterm. The quiz will cover HWs that have been
graded and returned beforehand. If you do well on the quiz, it will
replace one of your low HW scores; if not, I'll drop the quiz.
HW #3, due by the end of class on the 4th Friday of the semester
(Feb. 14): Section 2.1. #1, #3, #5; Section 2.2. #1, #2
Week 5: sections 2.4, 2.5
Friday: Midterm 1.
Sample Midterm 1 from another professor.
My midterm will be
different. Please study your HW problems and the
lecture material. Resources from Saundra Yancy McGuire and
Stephanie McGuire's books on metacognition: Appendices
A and B
. If you'd like to know more, I recommend getting a copy
of Teach Yourself How to Learn or watching a talk by Saundra McGuire
or looking at my copy in my office.
Week 6: sections 2.5, 3.1, 3.3, 3.4
HW #4, due by the end of class on the 6th Friday of the semester
(Feb. 28): Section 2.3. #4, #5; Section 2.4. #3, #9-10, #16
Week 7: sections 3.4, 4.1, 4.2, 4.3
Monday: lecture cancelled
HW #5, due by the end of class on the 7th Friday of the semester
(Mar. 6): Section 2.5. #2; Section 3.3. #1; Section 3.4. #3, #9, #14
Week 8: sections 5.1, 5.2,
HW #6 (previously mis-numbered as HW7), due by the end of class on the 8th Friday of the semester
(Mar. 13): Section 5.1. #4, #5, #9.
I will be doing an electronic office hour on Wednesday, March 11, from
about 3pm to 4pm. I will be checking my email and Twitter (handle
@kay314159) frequently and have my Skype on (kay.kirkpatrick) if you
want to contact me.
Week of March 23: sections 5.2, 5.3, preview of 5.4 in lecture
iPad notes from the video lecture
iPad notes from the video lecture
HW #7 (OPTIONAL), due Friday, March 27: Section 4.2 #2. Each HW
submitted electronically to the grader Timmy Feng email@example.com
must be a single pdf file. HW7 will be accounted for similar to the
quiz: If you do well on HW7, it will replace one of your low HW
scores; if not, I'll drop your HW7.
Soon there will be short lecture videos available through Moodle and
MediaSpace. Moodle will also be a place to get your graded HWs
(Super optional: If you have the bandwidth for some quantum mechanics
too, I recommend doing problems 4.1.3 and 4.2.1. Also optional: watch
some videos about PDE and Fourier series material. For example:
If you find other well-captioned videos that you like or think I might like, please let me know.)
Week of March 30: sections 5.4, 5.5?
Monday: lecture notes
iPad notes from the section 5.4 first video lecture
iPad notes from the video lecture
HW #8, due Friday, April 3: Section 5.2. #5 and 5.3. #9. Each HW
should be submitted electronically via Moodle.
Midterm 2 (April 10) preparation suggestions: please review the material before
spring break, including sections 2.3-2.5. Also please learn as much
new material as you can, for instance, by going over HW
solutions. And please watch the videos if you can (let me know if you
can't) and read the lecture notes (and the videos tell you which parts
of the lecture notes are most important).
Here's a HW 7 solution.
This course introduces students to partial differential equations, emphasizing the wave, diffusion and Laplace equations. The focus is on understanding the physical meaning and mathematical properties of solutions of partial differential equations. Methods include fundamental solutions and transform methods for problems on the line, and separation of variables using orthogonal series for problems in regions with boundary. Convergence of Fourier series is covered in detail.
and the new one.
Classmate contact info: