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3P5: Groups and Symmetry ( MATH3335)
Semester: 1 Campus: CRAWLEY
Semester: 1 Campus: CRAWLEY
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Description The theme of this unit is the theory of groups and their use in measuring symmetry with special emphasis on geometric examples. Apart from the mathematical interest of groups, they are of great and increasing importance in chemistry, geology and physics, and those aspects that have significance in such disciplines are strongly emphasised. The fundamental notion is that of a group action. Group actions are used to elucidate the structure of a group, culminating in the Sylow theorems, which connect finite groups and number theory. The applications of group actions extend to symmetries of the plane, three-space and higher dimensional spaces, rotation and spin, crystallographic groups and symmetries of regular figures in two and three dimensions. For more info see the Handbook: http://handbooks.uwa.edu.au/units/math/math3335 | |||
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Assessment This comprises an end-of-semester examination and in-semester tests or assignments. All assessment tasks require students to apply their knowledge of the unit content to solve previously unseen problems. Credit is given for clarity and correctness of presentation as well as for actual results.Supplementary assessment is not available in this unit except in the case of a bachelor's degree student who has obtained a mark of 45 to 49 and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete the course. |
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Test 6