MATH3033 Geometry

Credit
6 points
Offering
(see Timetable)

If this unit does not have an online alternative, then students who are presently unable to enter Western Australia and whose studies would be delayed by an inability to complete this unit, should contact the unit coordinator (details given on this page) to ascertain, on an individual case-by-case basis, if alternate arrangements can be made to support their study in this unit.

AvailabilityLocationMode
Semester 2UWA (Perth)Face to face Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online.
Details for undergraduate courses
  • Level 3 option in the Mathematics and Statistics major sequence
  • Level 3 elective
Content
Geometry is the area of mathematics that studies the notions of shape, space and relative position. Originally all geometry was Euclidean geometry, but attempts to prove the independence of the parallel postulate from the other axioms of Euclid led to the discovery of many other types of geometry. These new geometries are not just pure mathematical inventions but they played a key role in the development of physics and, in particular, Einstein's theory of general relativity. This unit looks at a selection of some of these geometries and the theory behind them, such as Riemannian geometry and projective geometry. Other topics may include differential geometry, hyperbolic geometry, incidence geometry, finite geometry and algebraic geometry.
Outcomes
Students are able to demonstrate skills, knowledge and insights in a wide range of geometric topics.
Assessment
Indicative assessments in this unit are as follows: (1) tests; (2) assignment; and (3) examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Dr Alice Devillers
Unit rules
Prerequisites:
MATH2031 Introduction to Pure Mathematics
Contact hours
lectures: 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.
  • Unit readings, including any essential textbooks, are listed in the unit outline for each unit, one week prior the commencement of study. The unit outline will be available via the LMS and the UWA Handbook one week prior the commencement of study. Reading lists and essential textbooks are subject to change each semester. Information on essential textbooks will also be made available on the Essential Textbooks. This website is updated regularly in the lead up to semester so content may change. It is recommended that students purchase essential textbooks for convenience due to the frequency with which they will be required during the unit. A limited number of textbooks will be made available from the Library in print and will also be made available online wherever possible. Essential textbooks can be purchased from the commercial vendors to secure the best deal. The Student Guild can provide assistance on where to purchase books if required. Books can be purchased second hand at the Guild Secondhand bookshop (second floor, Guild Village), which is located on campus.