Xinfeng Liu
Email:
xfliu@math.sc.edu
Phone: 576-5849
Office Location: LC 422
Office Hours: MWF 11:00AM-12:00PM or by appointment
Textbook: Partial Differential Equations,
Graduate Studies in Mathematics, by Lawrence C. Evans.
Course Content: This course will cover the materials presented in
Part II (Chapters 5, 6 and 7) of the text.
Learning Outcome: Students are expected to rely on functional analysis and "energy"
estimates to prove the existence of weak solutions to various linear PDEs, and also
apply the methodology learned from this course to investigate the uniqueness and
regularity of such solutions and deduce various other properties.
Reading: Reading the textbook
in advance of the lecture is strongly
encouraged. Benifits of this preparation include obtaining a familiarity with the terminology and
concepts that will be encountered (so you can distinguish major points from side
issues), being able to formulate questions about the parts of the presentation that
you do not understand, and having a chance to review the skills and techniques
that will be needed to apply the new concepts.
Exams: There will be three homework projects and a comprehensive take-home
final project.
Grades:
Homework Projects: 60%
Final Project: 40%
Grading Scales: A (90-100%), B+ (86-89%), B (80-85%), C+ (76-79%), C (70-75%), D+ (66-69%),
D (60-65%), F (0-59%)
Attendance: Attendance at every class meeting is important - and expected. Students missing
more than 10% of the class meetings (4 days) can have their grade lowered.
Class Files (Check Blackboard)
Academic Dishonesty: Cheating and plagiarism in any form is not tolerated.
If a student is caught cheating, I will follow the guidelines as set
forth in the USC Honor Code and other University guidelines.