Note: This is an archived Handbook entry from 2014.
|Dates & Locations:|| |
This subject is not offered in 2014.
|Time Commitment:||Contact Hours: 36 hours comprising two 1-hour lectures per week and one 1-hour practice class per week. |
Total Time Commitment:
3 contact hours and 7 hours private study per week.
Both of the following, or equivalent.
Study Period Commencement:
|Recommended Background Knowledge:||None|
|Non Allowed Subjects:|| |
|Core Participation Requirements:||
For the purposes of considering requests for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements for this entry.
The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/
Functional analysis is a fundamental area of pure mathematics, with countless applications to the theory of differential equations, engineering, and physics.
After completing this subject, students will understand the fundamentals of functional analysis and the concepts associated with the dual of a linear space. They will also have an understanding of how these are used in mathematical applications in pure mathematics such as representation theory. They will have the ability to pursue further studies in this and related areas.
Up to 40 pages of written assignments (40%: two assignments worth 20% each, due mid and late in semester), a 3 hour written examination (60%, in the examination period).
|Prescribed Texts:|| |
G. Pedersen. Analysis Now. Springer, 1988.
|Recommended Texts:|| |
R.J. Zimmer. Essential Results in Functional Analysis. Univ of Chicargo Press, 1990.
|Breadth Options:|| |
This subject is not available as a breadth subject.
|Fees Information:||Subject EFTSL, Level, Discipline & Census Date|
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
Master of Philosophy - Engineering |
Master of Science (Mathematics and Statistics)
Mathematics and Statistics |
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