MATH7010-001    PARTIAL DIFFERENTIAL EQUATIONS

 

     Spring 2025,     

     Instructor:   Changfeng Gui    

    Office Hours:   Tuesdays. 3:30-5:30pm

Course Descriptions:  This graduate course is designed to introduce students in science and engineering to modern theories and models of partial  differential equations.  Topics include Sobolev  spaces,  distributions, weak solutions to PDEs, general existence and  regularity theories, finite element methods, etc.   Some basic concepts  in linear algebra, real analysis, functional analysis will be needed and briefly reviewed.

 

Text Book:      Partial Differential Equations.  Graduate Studies in Mathematics , Vol. 19, AMS, Providence,   by  L. C. Evans.

 

Assignments:   There will be homework assigned after each class.

 

Grading:   There is no midterm or final exam. The final grade will be based on  attendance and assignments.