| Course Description | Green's identities and Green's functions. Separation of variables. General eigenvalues and eigenfunction expansions. Waves and diffusion in space. Existence, uniqueness, and stability of solutions. Concept of distributions. Fourier transforms and Laplace transforms. Basics of the calculus of variations. Partial differential equations from continuum physics. |
| Prerequisites | Math 110A or consent of instructor. |
| Textbook |
W. A. Strauss, Partial Differential Equations: An Introduction, 2nd ed., Wiley, 2007.
Note: We will cover most of chapters 7 and 9 - 12, and some sections from Chapters 13 and 14. Note: A copy of the textbook is on reserve in the library. |
| Instructor | Professor Bo Li. Office: AP&M 5723. Phone: (805) 534-6932. Email: bli@math.ucsd.edu. Office hours: 11:00 am - 11:30, Mondays and Fridays. |
| Teaching Assistant | Mr. Benjamin Ciotti. Office: AP&M 5712. Email: bciotti@ucsd.edu. Office hours: 1:00 - 2:00, Tuesdays and Thursdays. |
| Lectures | 10:00 am - 10:50 am, Mondays, Wednesdays, and Fridays, HSS 1305. |
| Discussion Session | 6:00 pm - 6:50 pm, Wednesdays, AP&M 6402. |
| Homework |
Homework will be assigned, collected, and partially graded regularly.
Unless otherwise instructed, homework is collected in Friday's lecture and returned
in Wednesday's discussion class.
Note: no late homework will be accepted unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided.
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| Exams |
There will be one in-class midterm and one take-home final exam.
The midterm exam will be a close-book, close-note, and no-calculator exam. It will be on Friday, February 10, 2017. The final exam is cumulative. It should be completed without any discussions with other people and without copying fully or partially any existing solutions from the internet or from other people. The take-home final is due 11:00 am, Friday, March 24, 2017. Note: neither rescheduled nor make-up exams will be allowed unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided. |
| Grading | The final course grade will be determined based on the class participation, homework, and exams with the weights: class participation - 5%; homework - 25%; midterm exam - 30%; and the final exam - 40%. |
| Academic Integrity | All students are expected to conduct themselves with academic integrity. Violations of academic integrity will be treated seriously. See the official UCSD Policy on Integrity of Scholarshiop and the related information. |