- Welcome to choose this class~!
- The syllabus was created in April 2024 and it is subject to update.
- Contacts
- Course description
- Textbook
- Coverage
- Prerequisite
- Obligations and tips
- Homework
- Test and exam
- Attendance
- Assessment
- Tentative schedule and slides
| Lecture Instructor | Dr. Le Chen | lzc0090@auburn.edu |
| Class Time and Room | TR, 11:00 AM -- 12:15 PM | Parker Hall 352 |
| Office hours | TR, 13:00 PM -- 13:50 PM | Parker Hall 203 |
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When you send us emails, please do include the keyword
Math 7440orMath 7450in the subject field of your email to ensure a timely response. -
In case you want to make an appointment with the instructor via Zoom, here is the link:
https://auburn.zoom.us/j/8141875411
In this sequence of courses, Math 7440 and Math 7450, we will cover some topics on partial differential equations (PDEs).
- [Evans] "Partial differential equations", by Lawrence C. Evans, Second Edition, American Mathematical Society, Providence, RI, 2010.
Math 7440 will cover topics from the following chapters of Evans' book:
- Chapter 1. Introduction
- Chapter 2. Four important linear partial differential equations
- Chapter 3. Nonlinear first-order PDE
- Chapter 4. Other ways to represent solutions
- Chapter 5. Sobolev spaces
Math 7440 will cover topics from the following chapters of Evans' book:
- Chapter 6. Second-order elliptic equations
- Chapter 7. Linear evolution equations
- Chapter 8. The calculus of variations
- Chapter 9. Nonvariational techniques
- Chapter 10. Hamilton–Jacobi equations
- Chapter 11. Systems of conservation laws
- A good knowledge of functional analysis and real analysis will be helpful.
This is a demanding course and it requires a great deal of work from your side. In order to successfully master the material and complete the course, you are expected to
- Read the textbook and attend lectures.
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Take the advantage of the office hours, which give you additional chance to interact with the
instructor. - Read solutions and any feedback you receive for each problem set.
- Complete and submit weekly homework through Gradescope.
- Complete both midterm test and the final exam.
- Use appropriate etiquette and treat other students with respect in all discussions.
- Do not hesitate to ask for help whenever needed.
Note: The syllabus was created in Oct. 2024, and it is subject to changes.
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There will be about 5 homework assignments in each semester:
Due at Semester Homework 1 TBA 2025 Fall Homework 2 Homework 3 Homework 4 Homework 5 Homework 6 2026 Spring Homework 7 Homework 8 Homework 9 Homework 10 - No late homework will be accepted.
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You need to write full details of the problems and upload your solutions to gradescope.
- Go to Canvas --> Find this course --> Click Gradescope on the left panel.
- See below for more instructions on gradescope.
- We will randomly select a few problems to grade and the rest will be checked only for completion.
- There will be one midterm test during the class session:
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Final exam will be cumulative.
Date/Time Coverage Semester Midterm Test TBA TBA 2025 Fall Final Exam TBA Comprehensive Midterm Test TBA TBA 2026 Spring Final Exam TBA Comprehensive - Please note down the above dates. No late exam/test will be given.
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Makeup exams will only be allowed in extreme circumstances. Exams cannot be made up without a
university-approved excuse. Any excuse must be submitted by the date of exam to be considered.
Please refer to the Tiger Cub for the list of acceptable reasons for being absent from an exam or
a test. Makeup exam/test has to be scheduled and made up in a timely manner. - More details will come during the semester.
- Notify the instructor if you are not able to participate in a lecture due to illness or some other emergency.
- Attendance will not be directly counted into your final score.
- But sufficient attendance will make your eligible for grade curving at the end of semester.
- The final score will be determined as follows:
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Based on the final score (plus potential bonus points), the final letter grade will be
determined as follows:Grade (+) Grade Grade (-) A 92%-100% A- 90%-91.9% B+ 87%-89.9% B 82%-86.9% B- 80%-81.9% C+ 77%-87.9% C 72%-76.9% C- 70%-71.9% D+ 67%-67.9% D 67%-67.9% D- 60%-61.9% F 0%-59.9%
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Below is the tentative schedule that may change during the semester of 2024 Fall:
Tuesday Slides or coverage Thursday Slides or coverage Week 1 08/20 Introduction 08/22 Section Week 2 08/27 Section 08/29 Section Week 3 09/03 Section 09/05 Section Week 4 09/10 Section 09/12 Section Week 5 09/17 Section 09/19 Section Week 6 09/24 Section 09/26 Section Week 7 10/01 Section 10/04 Section Week 8 (10/08) Midterm Exam (10/11) -- Week 9 10/15 Section 10/17 Section Week 10 10/22 Section 10/24 Section Week 11 10/29 Section 10/31 Section Week 12 11/05 Section 11/07 Section Week 13 11/12 Section 11/14 Section Week 14 11/19 Section 11/21 Section Week 15 (11/26) -- (11/28) -- Week 16 11/33 Section 12/05 Review -
Below is the tentative schedule that may change during the semester of 2025 Spring:
Tuesday Slides or coverage Thursday Slides or coverage Week 1 01/14 Section 01/16 Section Week 2 01/21 Section 01/23 Section Week 3 01/28 Section 01/30 Section Week 4 02/04 Section 02/06 Section Week 5 02/11 Section 02/13 Section Week 6 02/18 Section 02/20 Section Week 7 02/25 Section 02/27 Section Week 8 03/04 Section 03/06 Midterm Exam Week 9 (03/11) Spring break (03/13) Spring break Week 10 03/18 Section 03/20 Section Week 11 03/25 Section 03/27 Section Week 12 04/01 Section 04/04 Section Week 13 04/08 Section 04/11 Section Week 14 04/15 Section 04/18 Section Week 15 04/22 Section 04/25 Section Week 16 04/29 Reviewing Session --
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We will use gradescope to handle submissions of homework, which allows
us to provide fast and accurate feedback on your work. -
As soon as grades are posted, you will be notified immediately so that you can log in and see your
grades and feedback. - If you have any questions regarding Gradescope, please send your message to
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Printer+scanner or tablet
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The easiest way to submit the homework/tests/exams is the following steps:
- print the given template;
- complete the problem sets;
- scan the resulting paper (make sure it is legible);
- upload the scanned file to gradescope.
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Alternatively, if you have a tablet that you can write on it, you may simply write on the
template pdf file and upload the resulting file. - Make sure that you make the correct association of your solutions to the problems.
- Double check your scan quality and make sure your solutions are legible.
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The easiest way to submit the homework/tests/exams is the following steps:
- Students should familiarize themselves with Auburn honor code here
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Students are encouraged to share ideas and solutions on problem sets and labs, but must
express those ideas in their own words in their submitted work. - Students are not authorized to view or use the work of another student during exams.
Your success in this class is important to me. We will all need accommodations because we all learn differently. If there are aspects of this course that prevent you from learning or exclude you, please let me know as soon as possible. Together we will develop strategies to meet both your needs and the requirements of the course.
I encourage you to visit the Office of Accessibility to determine how you could improve your learning as well. You can register and make a request for services from the Office of Accessibility. In this case, please do inform me of such requests. See the following link for more information:
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According to Auburn University policies: http://auburn.edu/administration/aaeeo/H&D.php
Auburn University is committed to providing a working and academic environment free from prohibited discrimination and harassment and to fostering a nurturing and vibrant community founded upon the fundamental dignity and worth of all its members. Auburn University prohibits harassment of its students and employees based on protected classes and works to eliminate prohibited behavior from its academics and employment through corrective measures and education. The Office of AA/EEO oversees compliance with the Policy Prohibiting Harassment of Students, the Policy Prohibiting Harassment of Employees, and the Policy on Sexual and Gender-Based Harassment and Other Forms of Interpersonal Violence. Protected classes are race, color, sex (which includes sexual orientation, gender identity, and gender expression), religion, national origin, age, disability, protected veteran status, or genetic information. Auburn University also prohibits retaliation against any individual for opposing a practice he/she reasonably believed to be discriminatory; for filing an internal or external complaint, grievance, or charge; or for participating in any investigation or proceeding, in accordance with Auburn University's policies.
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