MATH3033 Geometry

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Level 3 option in the Mathematics and Statistics major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • 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 and (2) 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
Unit Outline
Semester 2_2019 [SEM-2_2019]
  • 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.
  • Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.