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November 2009
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Distribution Theory and PDEs

For honours courses please contact the School Office.

Description

Topics in Analysis and Geometry


Objective

To provide intuition to the ideas, techniques and applications of the theory of distributions and partial differential equations. This can be varied, depending on the interests of the students


Content

The the theory of distributions was developed by Laurent Schwartz, for which he received the Fields Medal in 1950, and is considered as being one of the revolutions in mathematics in the 20th century. It is a powerful tool, with wide applications to mathematics and physics. Distribution theory is accessible to a wide audience, including mathematics students specializing in almost any area of mathematics and also those specializing in mathematical physics.

 
Year Semester Level Units
2009 2 Honours 2
Mathai Varghese
Lecturer for this course

Delivery

2 hour lectures per week, for 12 weeks


Assessment

3 hour exam (85%) and 15% for Class Exercises


Graduate attributes


Linkage past

Prerequisites: must have completed Integration & Analysis 3 or equivalent.


Linkage present


Linkage future

This course is not a prerequisite for any specific course, but will be useful for students who plan to continue on to research in pure mathematics.


Restrictions

None.


Recommended text

N/A