MATH4032 Continuous Geometry and Analysis
- 6 points
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.
Availability Location Mode Semester 1 UWA (Perth) Face to face Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online. Semester 1 UWA (Perth) Online timetabled 100% Online Unit. NO campus face-to-face attendance is required to complete this unit. All study requirements are online only. Unit includes some synchronous components, with a requirement for students to participate online at specific times.
- Details for undergraduate courses
- Honours option in Mathematics and Statistics [Bachelor of Science (Honours)]
- This unit covers topics from differential topology and differential geometry according to student background and needs. The topics may include integral curves of vector fields, differential forms, Lie brackets and commutativity of flows, symmetries and integrals, Hamiltonian mechanics and control, curves in Euclidean spaces, Frenet formulae, global properties of curvature, curvatures of surfaces in 3-space, Riemannian metrics, covariant differentiation, geodesics, applications in mechanics and electromagnetism.
- Students are able to (1) develop mathematical intuitions and the ability to articulate these intuitions within a formalism at an appropriate level; (2) use basic tools for solving analytical problems of physics and engineering with geometric constraints; and (3) prove results about differential geometry and construct examples demonstrating key concepts.
- Indicative assessments in this unit are as follows: (1) test; (2) assignments; and (3) a final examination. Further information is available in the unit outline.
Supplementary assessment is not available in this unit.
- Unit Coordinator(s)
- Professor Enrico Valdinoci
- Unit rules
- MATH3032 Topology and Analysis
- 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.
- 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.