. . SCHOLARSHIPS, PRIZES AND AWARDS9Ashby PrizeOffered annually for the best essay, submitted by a student in the Faculty of Science,that forms part of the requirements of Pure Mathematics 4, Applied Mathematics 4 orMathematical Statistics 4.Value: $360.Norbert Quirk Prize No IVAwarded annually for the best essay on a given mathematical subject by a student enrolledin a fourth year course in mathematics (Pure Mathematics, Applied Mathematics orMathematical Statistics) provided that the essay is of sufficient merit.Value: $250.David G. A. Jackson PrizeAwarded for creativity and originality in any undergraduate Pure Mathematics unit of study.Value: $1100.Australian Federation of Graduate Women: Prize in MathematicsAwarded annually, on the recommendation of the Head of the School of Mathematicsand Statistics, to the most distinguished woman candidate for the degree of B.A. orB.Sc. who graduates with first class Honours in Pure Mathematics, Applied Mathematicsor Mathematical Statistics.Value: $175.Rolf Adams PrizeThis annual prize is awarded to the pure mathematics honours student who delivers thebest talk.Value: $100.University MedalAwarded to Honours students who perform outstandingly. The award is subject to Facultyrules, which require a Faculty mark of 90 or more in Pure Mathematics 4 and a WAM of80 or higher in 3rd year. More than one medal may be awarded in any year.
10CHAPTER. ENTRY, ADMINISTRATION AND ASSESSMENT
I dislike arguments of any kind. They are always vulgar,and often convincing.Oscar Wilde,The importance of being earnestChapter 3Course DescriptionsAll courses offered in 2017 are 2 lecture per week courses and count as 1 unit. Some ofthe Semester II courses have one of the core courses as a prerequisite. In addition, any3(A) courses, not previously examined, is available for credit. Each 3(A) course is run at3 lectures and 1 tutorial per week, and counts as 1 unit. For substitutions by courses notgiven by Pure Mathematics see Section 22.214.171.124Fourth Year Courses — Semester IAlgebraic TopologyLecturer: Kevin CoulombierAlgebraic Topology is certainly among the branches of pure mathematics undergoing themost rapid development in the last one hundred years or so. It has enormous influence onother major branches, such as algebra, algebraic geometry, analysis, differential geometryand number theory.The typical problem of topology is to characterize or classify spaces.Some obviousintuitions, for example, Euclidean spaces of different dimensions are not the same, can bejustified in a rigorous way using Algebraic Topology tools. In order to do this, we needto construct various invariants in algebraic terms. The homotopy groups and homologygroups of a topological space are two important families of such invariants. The homotopygroups are easy to define but are in general very difficult to compute and the term indimension one, called the fundamental group, serves as a reasonable example at honourslevel; the converse holds for the homology groups. Our goal for this course is to provide