Difference between revisions of "Math 648: Theory of Partial Differential Equations 2"
(→Description) |
(→Desired Learning Outcomes) |
||
| Line 17: | Line 17: | ||
== Desired Learning Outcomes == | == Desired Learning Outcomes == | ||
| + | Students should gain a familiarity with abstract methods for studying boundary value and initial boundary value problems for | ||
| + | partial differential equations including a working familiarity with the function spaces which are most often used in these methods. | ||
=== Prerequisites === | === Prerequisites === | ||
| + | A thorough knowledge of all the principle theorems of the Lebesgue integral is essential, especially the Riesz representation theorems for positive linear functionals and for the dual spaces for the ''L''<sup>''p''</sup> spaces and the space ''C''<sub>0</sub>. Understanding of the Radon Nikodym theorem is also essential. In addition, knowledge of the basic theorems of functional analysis is essential. The classical theory of partial differential equations is helpful but not essential. | ||
=== Minimal learning outcomes === | === Minimal learning outcomes === | ||
Revision as of 08:04, 27 May 2010
Contents
Catalog Information
Title
Theory of Partial Differential Equations 2.
3Credit Hours
(3:3:0)
Offered
F
Prerequisite
Math 641, Math 540, recommended Math 640, Math 647
Description
This course develops abstract methods for studying partial differential equations and inclusions.
Desired Learning Outcomes
Students should gain a familiarity with abstract methods for studying boundary value and initial boundary value problems for partial differential equations including a working familiarity with the function spaces which are most often used in these methods.
Prerequisites
A thorough knowledge of all the principle theorems of the Lebesgue integral is essential, especially the Riesz representation theorems for positive linear functionals and for the dual spaces for the Lp spaces and the space C0. Understanding of the Radon Nikodym theorem is also essential. In addition, knowledge of the basic theorems of functional analysis is essential. The classical theory of partial differential equations is helpful but not essential.
