MATH4032 Continuous Geometry and Analysis
- 6 points
|Semester 1||UWA (Perth)||Face to face|
- 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 Luchezar Stoyanov
- Unit rules
- MATH3032 Topology and Analysis
- Contact hours
- 3 hours per week
- Unit Outline
- Semester 1_2019 [SEM-1_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.