The University of New South Wales

go to UNSW home page

Undergraduate Handbook

PRINT THIS PAGE
Higher Analysis - MATH3611
 Scientia

   
   
   
 
Campus: Kensington Campus
 
 
Career: Undergraduate
 
 
Units of Credit: 6
 
 
EFTSL: 0.12500 (more info)
 
 
Indicative Contact Hours per Week: 4
 
 
Enrolment Requirements:
 
 
Prerequisite: 12 UOC of Level 2 Mathematics with an average mark of at least 70, including MATH2111 or MATH2011 (CR) or MATH2510 (CR), or permission from the Head of Department.
 
 
Excluded: MATH3570, MATH3610, MATH3620, MATH5705
 
 
Fee Band: 2 (more info)
 
 
Further Information: See Class Timetable
 
  

Description

Limits and continuity are the central concepts of calculus in one and several variables. These concepts can be extended to quite general situations. The simplest of these is when there is some way of measuring the distance between two objects. Some of the most important examples of these `metric spaces' occur as sets of functions, so this course looks at ways in which one might say that a sequence of functions converges. Taking these ideas one step further, we look at convergence which does not come from a generalised distance function. These are the ideas of point set topology.

The course includes topics such as countability, continuity, uniform convergence and compactness, as well as an introduction to the core areas of function analysis. This includes the notions of Banach and Hilbert spaces, including Reproducing Kernel Hilbert Spaces which are important in Applied Mathematics, Statistics and elsewhere.


URL for this page:

© The University of New South Wales (CRICOS Provider No.: 00098G), 2004-2011. The information contained in this Handbook is indicative only. While every effort is made to keep this information up-to-date, the University reserves the right to discontinue or vary arrangements, programs and courses at any time without notice and at its discretion. While the University will try to avoid or minimise any inconvenience, changes may also be made to programs, courses and staff after enrolment. The University may also set limits on the number of students in a course.