Instructor: Ron DeVore
Office: 309 Milner
Email: rdevore@math.tamu.edu
Phone: (979) 845-7911
Office Hours:TBA
Textbook:
Course will be formulated from the instructors lecture notes and the
research papers of the instructor and other researchers.
Prerequisite: Advanced undergraduate courses in Analysis and Linear Algebra
Math 689 Web Page: The course schedule and other information can be found at http://www.math.tamu.edu/~rdevore/Syllabus664.html
Outline: The first part of the course will give a brief overview of approximation theory in order to set the stage for nonlinear approximation that follows. Next, the course will consider some simple examples of nonlinear approximation such as n-term approximation and free knot spline approximation. The main body of the course will characterize functions which have given rate of approximation using nonlinear methods. Such characterizations are typically given in terms of the smoothness of the function. The course will culminate with examples of the application of nonlinear approximation to image compression and the numerical solutons to PDEs.
Grading System: Projects
Scholastic Dishonesty: Students may work together and discuss the homework problems with each other. Copying work done by others is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. For more information on university policies regarding scholastic dishonesty, see University Student Rules .
Copyright Policy: All printed hand-outs and web materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.
Students with Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Services for Students with Disabilities, Koldus 126, 845-1637.