Higher Analysis - MATH3611

Faculty: Faculty of Science

School: School of Mathematics and Statistics

Course Outline:

Campus: Sydney

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, MATH5645, MATH5705

CSS Contribution Charge: 2 (more info)

Tuition Fee: See Tuition Fee Schedule

Further Information: See Class Timetable

View course information for previous years.


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.


Study Levels

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