Math 4347 AU & AG: Partial Differential Equations I, fall 2021
|
Schedule:
|
Classroom: Skiles 168 (and see below)
|
|
Email: zengch@math.gatech.edu
|
Webpage: www.math.gatech.edu/~zengch
|
|
Office hours: 10:15 --11:30 MW (Bluejeans)
|
Final exam (According to GT exam calendar, see below):
- Dec 10 (Fri.), 2:40pm -- 5:30pm
|
Class logistics:
- The lectures will be delivered in-person in the assigned classroom.
- The lectures will also be live on Bluejeans. The Bluejeans links will be available on Canvas.
- The Bluejeans recording of lectures will be available with links on Canvas.
- All assignments and exams will be collected on Canvas (scan and upload at Canvas assignment page by the due time, see below).
- The notes of lectures will be posted on Canvas.
- Office hours will be held virtually on Bluejeans with links on Canvas.
- Everyone is strongly encouraged to wear masks in the classroom. Out of concern for your health and mine, I am choosing to wear a mask in the classroom.
Syllabus
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.
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 textbook).
- 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.
Grades: 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 at the beginning of the exam period (also handed out in the classroom to those who prefer paper versions). Each exam should be submitted as a single PDF file electronically on Canvas by the due time (even for those who complete the exams on paper in the classroom). 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 complete the exam in the exam period (contact Dr. Zeng).
- The midterm exam: The tentative schedule of the midterm exams is 2:00pm -- 3:15pm EST on Mon. 10/18. It will be posted as an assignment on Canvas available during that time window 2:00pm -- 3:15pm. Submission should be uploaded by 3:15pm.
- Final exam: The final will be given on Fri. 12/10 during the window 2:40pm -- 5:30pm EST. The PDF file of the exam problems will be available on Canvas and in classroom 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. Each assignment includes all the problems assigned in earlier weeks, but 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:
9/8 (Wed.), 9/22(Wed.), 10/6(Wed.), 10/20(Wed.), 11/3(Wed.), 11/17(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.
Important Course info:
- Course website: http://people.math.gatech.edu/~zengch/Fall2021/math4347/Fall2021math4347.html includes the most updated assignments as well as basic course information, syllabus, etc.
- CANVAS will be mainly used for the assignment, gradebook, links, materials, and announcements.
- Piazza, accessed via Canvas ("Piazza" tab on the left, or try piazza.com/gatech/fall2021/math4347auag), is a forum for discussions. The only restriction I like to impose on Piazza is: please do not discuss exam problems and solutions.
Homework assignments:
- Homework Assignment #1 (due Wed. 9/8):
- Assigned on Mon. 8/23: Sec. 1.1, 1.1, 1.2, 1.5(a); 1.6; Sec. 1.2, 2.2, 2.4;
- Assigned on Wed. 8/25: Sec. 1.3, 3.5
- Assigned on Mon. 8/30: Sec. 1.4, 4.1, 4.4(b), 4.8, 4.9
- Assigned on Wed. 9/1: Sec. 2.1, 1.1, 1.4(a,c), 1.7;
- Homework Assignment #2 (due Wed. 9/22):
- Assigned on Wed. 9/8: Sec. 2.2, 2.2, 2.7(b), 2.8(a); Sec. 2.3, 3.1(c), 3.2(c)
- Assigned on Mon. 9/13: Sec. 2.4, 4.1(b)(d), 4.2(b)
- Assigned on Wed. 9/15: Sec. 2.5, 5.5(b)
- Homework Assignment #3 (due Wed. 10/6):
- Assigned on Mon. 9/20: Sec. 3.1, 1.1 (Page 59); Sec. 3.2, 2.1adg, 2.4 (Page 62–63);
- Assigned on Wed. 9/22: Sec. 3.3, 3.1bd (Page 68); Sec. 3.4, 4.1 (Page 71)
- Assigned on Mon. 9/27: Sec. 3.5, 5.1, 5.4 (Page 75);
- Assigned on Wed. 9/29: Sec. 3.6, 6.2, 6.7 (Page 83–84);
- Homework Assignment #4 (due Wed. 10/20):
- Assigned on Mon. 10/4: Sec. 4.1, 1.1, 1.4a, 1.5c, 1.8c (Page 99)
- Assigned on Wed. 10/6: Sec. 4.2, 2.1f, 2.5 (Page 107)
- Assigned on Wed. 10/13: No new assignment.
- Homework Assignment #5 (due Wed. 11/3):
- Assigned on Wed. 10/20: Sec. 5.2, 2.1a, 2.2b, 2.5 (page 123); Sec. 5.4, 4.3a, 4.4 (page 131);
- Assigned on Mon. 10/25: No new assignment.
- Assigned on Wed. 10/27: Sec. 5.6, 6.2cd (page 137)
- Homework Assignment #6 (due Wed. 11/17):
- Assigned on Mon. 11/1: Sec. 5.7, 7.4, 7.7ac (page 142)
- Assigned on Wed. 11/3: Sec. 5.8, 8.1, 8.2 (page 148); Sec. 5.9, 9.1, 9.2 (Page 151)
- Assigned on Mon. 11/8: Sec. 6.1, 1.2, 1.4 (Page 156)
- Assigned on Wed. 11/10: Sec. 6.2, 2.1, 2.3 (Page 160); Sec. 6.4, 4.1 (Page 166); Sec. 6.5, 5.2 (Page 169);
- Recommended exercises (not collected):
- Assigned on Mon. 11/15: Sec. 7.1, 1.3 (Page 173); Sec. 7.2, 2.4, 2.7 (Page 178)
- Assigned on Wed. 11/3: Sec. 7.3, 3.3, 3.4, 3.5 (Page 186)
- Assigned on Mon. 11/22: Sec. 7.5, 5.1, 5.2, 5.7 (Page 196)
- Assigned on Mon. 11/29: Sec. 7.7, 7.3, 7.4, 7.5 (Page 205)
- Assigned on Wed. 12/1: Sec. 7.8, 8.5, 8.9 (Page 221)
Academic Integrity
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 violations.
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 or
http://disabilityservices.gatech.edu/
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.
Academic support
Personal Support
Georgia Tech Resources
- The Office of the Dean of Students: http://studentlife.gatech.edu/content/services; 404-894-6367; Smithgall Student Services Building 2nd floor
- Counseling Center: http://counseling.gatech.edu; 404-894-2575; Smithgall Student Services Building 2nd floor
- 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 resources.
- 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 (STAR): http://studentlife.gatech.edu/content/need-help
- Can assist with interview clothing, food, and housing needs.
- Stamps Health Services: https://health.gatech.edu; 404-894-1420
- Primary care, pharmacy, women’s health, psychiatry, immunization and allergy, health promotion, and nutrition
- OMED: Educational Services: http://www.omed.gatech.edu
- Women’s Resource Center: http://www.womenscenter.gatech.edu; 404-385-0230
- LGBTQIA Resource Center: http://lgbtqia.gatech.edu/; 404-385-2679
- Veteran’s Resource Center: http://veterans.gatech.edu/; 404-385-2067
- 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.