Studying online

There are now 2 possible online modes for units:

Units with modes Online timetabled and Online flexible are available for any student to self-enrol and study online.

Click on an offering mode for more details.

Unit Overview

Description

This unit covers topics from either combinatorics or analysis, typically alternating from year to year depending on student background and needs and lecturer availability. Topics from combinatorics may include graph theory, algebraic combinatorics, and finite geometry. These may include structural theory of graphs, matroid theory, Cayley graphs, highly symmetrical graphs, symmetrical block designs, projective geometry, projective planes, and generalised polygons. Topics from analysis and algebraic topology may include the contraction mapping principle, elements of linear analysis and spectral theory, unique solvability of ordinary differential equations, inverse and implicit function theorem, critical points and regular values, winding numbers, simplicial or singular homology, differential forms, integration on manifolds and de Rham cohomology.

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Honours option in Mathematics and Statistics [Bachelor of Science (Honours)]
Outcomes

Students are able to (1) develop mathematical intuitions and the ability to articulate these intuitions within a formalism at an appropriate level; (2) prove results about mathematical structures and construct examples demonstrating key concepts; and (3) demonstrate a deep understanding of the structures and techniques involved in proving the main results in the field.

Assessment

Indicative assessments in this unit are as follows: (1) assignments; (2) mid-semester test; and (3) a final examination. Further information is available in the unit outline.



Student may be offered supplementary assessment in this unit if they meet the eligibility criteria.

Unit Coordinator(s)
Professor Luchezar Stoyanov
Unit rules
Prerequisites
Enrolment in in the HON-MTHST Mathematics and Statistics [Honours] and
MATH3031 Algebraic Structures and Symmetry
or MATH3032 Topology and Analysis
or MATH3033 Geometry
Contact hours
3 hours per week
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Visit the Essential Textbooks website to see if any textbooks are required for this Unit. The website is updated regularly so content may change. Students are recommended to purchase Essential Textbooks, but a limited number of copies of all Essential Textbooks are held in the Library in print, and as an ebook where possible. Recommended readings for the unit can be accessed in Unit Readings directly through the Learning Management System (LMS).
  • Contact hours provide an indication of the type and extent of in-class activities this unit may contain. The total amount of student work (including contact hours, assessment time, and self-study) will approximate 150 hours per 6 credit points.