Math 4347 AU & AG: Partial Differential
Equations I, fall 2020
Classroom: Bluejeans and Skiles
168 (see below)
Office hours: 10:30 --11:45 MW
Final exam (According to GT
exam calendar, see below):
- Dec 7 (Mon.), 2:40pm -- 5:30pm
Instructor: Chongchun Zeng
Prerequisites: (MATH 2403 or MATH 2413 or
MATH 24X3 or MATH 2552 or MATH 2562 or MATH 2X52) and (MATH 1522 or MATH
1553 or MATH 1554 or MATH 1564 or MATH 1502 or MATH 1512)
Overview: This course is an
introductory course to partial differential equations. We study method
of characteristics for first and second order partial differential
equations, conservation laws and shocks, classification of second order
systems and applications.
Course Modality Information: The
course is delivered in hybrid "touch point" mode
- Many classes will be delivered remotely (Bluejeans). The links will be
available on Canvas.
- There will be 3 in-person lectures on Wed. 10/7 (before the midterm
exam), Wed. 10/21 (after the midterm exam), and Mon. 11/23 (close to the
end of the lectures). Attendance of the in-person lectures will not
- All assignments and exams will be given remotely (see below) and
collected on Canvas.
- All (online and in-person) lectures will be recorded and made
available with links available on Canvas. The instructor will post the
notes of the lectures on Canvas.
- Office hours will be held online via Bluejeans.
- There is a possibility of the course switching to be completely remote
in the case that the instructor becomes sick or if the entire Institute
decides to switch because of the public health situation.
Textbook: Introductions to PDEs with Applications by E. C.
Zachmanoglou and D. W. Thoe, Dover Publications, 1986.
Material: In this semester, we shall discuss some basic first and
second order PDEs and their applications (roughly Chapter 1--7 of the
- First order PDEs:
- The method of characteristics
- Conservation laws and shocks
- Constant coefficient second order PDEs:
- Derivations and boundary conditions
- Laplace's equation
- The heat equation
- The wave equation
Only the simplest scientific calculators are allowed. In
particular, graphic calculators are not allowed.
1 final exam 50%, 1 midterm 26%, 6 homework assignments 4% each.
- Exams (final and midterm): The
exams are open-book and open-notes (textbook and notes of this
course only), but should be completed independently. They
will be posted as assignments on Canvas and each exam should be
submitted as a single PDF file electronically on Canvas by the
due time. Please write your exam solutions clearly and circle the
final answer of each problem in a box with no corrections inside.
There will be no make-up for missed exams, except under provable
impossibility (due to medical or other emergency conditions) to attend
the exam (contact Dr. Zeng).
- The midterm exam: The tentative
schedule of the midterm exams is 2:00pm -- 3:15pm EST on Fri.
10/9. It will be posted as an
assignment on Canvas available during that time window 12:30pm --
1:45pm. Submission should be uploaded by 1:45pm.
- Final exam: The
final will be given on Mon. 12/7 during the window 2:40pm --
5:30pm EST. The PDF file of the exam problems will be available
also at 2:40pm EST and your PDF scan of the solutions should be
uploaded on Canvas by 5:30pm EST.
- Homework: Homework will be
assigned at the end of each lecture and then put on this webpage in
the below. You may discuss the homework problems with other students
in this class, but you should write down the solutions and complete
the homework independently. The homework will be collected roughly
every 2 weeks (see below). On each collecting day, the homework (as
the submission of a single PDF file) is due at
2:00pm on Canvas. The corresponding assignment includes all the
problems assigned in earlier weeks and after the previous assignments.
Some selected problems from each assignment will be graded and the
score will be given based on both the graded problems and the
completion of the whole assignment. It is suggested that you
start to work on homework problems right after they are assigned
instead of waiting until close to the due date. The
exact homework collecting dates are:
8/26 (Wed.), 9/11(Fri.), 9/23(Wed.), 10/7(Wed.), 10/21(Wed.),
- Letter grades: In general your final grade will be
assigned as a letter grade according to the following scale based on the
total numerical scores:
When needed, a curve may be
applied to adjust the letter grades upward.
- Homework Assignment #1 (due Wed. 8/26):
- Assigned on Mon. 8/17: Sec. 1.1, 1.1, 1.2, 1.5(a), 1.6; Sec.
2.4; Sec. 1.3, 3.5
HW solutions I
- Homework Assignment
#2 (due Fri.. 9/11):
- Assigned on Mon.
8/24: Sec. 1.4, 4.1, 4.4(b), 4.8, 4.9;
- Assigned on Wed.
8/26: Sec. 2.1, 1.1, 1.4(a,c), 1.7; Sec.
2.2, 2.2, 2.7(b), 2.8(a);
- Assigned on Mon.
8/31: Sec. 2.3, 3.1(c), 3.2(c)
- Assigned on Wed.
9/2: Sec. 2.4, 4.1(b)(d), 4.2(b)
HW solutions II
Assignment #3 (due Wed. 9/23):
- Assigned on
Wed. 9/9: Sec. 2.5, 5.5(b)
- Assigned on
Mon. 9/14: Sec. 3.1, 1.1; Sec. 3.2, 2.1adg, 2.4
- Assigned on
Wed. 9/16: Sec. 3.3, 3.1 bd; Sec. 3.4, 4.1
HW solutions III
Assignment #4 (due Wed. 10/7):
on Mon. 9/21: Sec. 3.5, 5.1, 5.4; Sec. 3.6,
on Wed. 9/23: Sec. 4.1, 1.1, 1.4a, 1.5c, 1.8c
on Mon. 9/28: Sec. 4.2, 2.1f, 2.5
on Wed. 9/30: no new assignment today.
HW solutions IV
Assignment #5 (due Wed. 10/21):
on Mon. 10/5: Sec. 5.2, 2.1a, 2.2b, 2.5;
on Wed. 10/7: Sec. 5.4, 4.3a, 4.4; Sec.
on Mon. 10/12: Sec. 5.7, 7.4, 7.7ac
HW solutions V
Assignment #6 (due Wed. 11/4):
on Mon. 10/19: Sec. 5.8, 8.1, 8.2; Sec. 5.9, 9.1,
on Wed. 10/21: Sec. 6.1, 1.2, 1.4; Sec. 6.2,
on Mon. 10/26: Sec. 6.5, 5.2; Sec. 7.1, 1.3
on Wed. 10/28: Sec. 7.2, 2.4, 2.7
Health-Related Considerations (mostly current USG Language):
Effective July 15, 2020, University System of Georgia (USG) institutions
will require all faculty, staff, students, and visitors to wear an
appropriate face covering while inside campus facilities/buildings where
six feet social distancing may not always be possible.
Face covering use will be in addition to and is not a substitute for
social distancing. Anyone not using a face covering when required will be
asked to wear one or must leave the area. Refusal to comply with the
requirement may result in discipline through the applicable conduct code
for faculty, staff or students.
There are a few exemptions. Reasonable accommodations may also be made
for those who are unable to wear a face covering for documented health
For more information about face masks and coverings, review the
guidelines from Human
Social distancing is expected in the in-class lectures.
Georgia Tech aims to cultivate a community based on trust,
academic integrity, and honor. Students are expected to act according to
the highest ethical standards. For
information on Georgia Tech's Academic Honor Code, please visit
http://www.catalog.gatech.edu/policies/honor-code/ or http://www.catalog.gatech.edu/rules/18/.
Any student suspected of cheating or plagiarizing on a quiz,
exam, or assignment will be reported to the Office of Student Integrity,
who will investigate the incident and identify the appropriate penalty for
Accommodations for Students with Disabilities
If you are a student with learning needs that require special
accommodation, contact the Office of Disability Services at (404)894-2563
as soon as possible, to make an appointment to discuss your
special needs and to obtain an accommodations letter.
Please also e-mail me as soon as possible in order to set up a
time to discuss your learning needs.
Student-Faculty Expectations Agreement
At Georgia Tech we believe that it is important to strive for
an atmosphere of mutual respect, acknowledgement, and responsibility
between faculty members and the student body. See http://www.catalog.gatech.edu/rules/22/
for an articulation of some basic expectation that you can have of
me and that I have of you. In the end, simple respect for knowledge, hard
work, and cordial interactions will help build the environment we seek.
Therefore, I encourage you to remain committed to the ideals of Georgia
Tech while in this class.
Campus Resources for Students
In your time at Georgia Tech, you may find yourself in need
of support. Below you will find some resources to support you both as a
student and as a person.
Georgia Tech Resources
- The Office of the Dean of Students:
404-894-6367; Smithgall Student Services Building 2nd
- Counseling Center:
404-894-2575; Smithgall Student Services Building 2nd
- Services include short-term individual counseling,
group counseling, couples counseling, testing and assessment, referral
services, and crisis intervention.
Their website also includes links to state and national
- Students in crisis may walk in during business hours
(8am-5pm, Monday through Friday) or contact the counselor on call
after hours at 404-894-2204.
- Students’ Temporary Assistance and Resources
- Can assist with interview clothing, food, and housing
- Stamps Health Services: https://health.gatech.edu;
- Primary care, pharmacy, women’s health, psychiatry,
immunization and allergy, health promotion, and nutrition
- OMED: Educational Services:
- Women’s Resource Center: http://www.womenscenter.gatech.edu;
- LGBTQIA Resource Center: http://lgbtqia.gatech.edu/;
- Veteran’s Resource Center: http://veterans.gatech.edu/;
- Georgia Tech Police: 404-894-2500
Statement of Intent for Inclusivity
As a member of the Georgia Tech community, I am committed to
creating a learning environment in which all of my students feel safe and
included. Because we are
individuals with varying needs, I am reliant on your feedback to achieve
this goal. To that end,
I invite you to enter into dialogue with me about the things I can stop,
start, and continue doing to
make my classroom an environment in which every student feels valued and
can engage actively in our learning community.