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Academic Year: | 2018/9 | |
Owning Department/School: | Department of Mathematical Sciences | |
Credits: | 6 [equivalent to 12 CATS credits] | |
Notional Study Hours: | 120 | |
Level: | Honours (FHEQ level 6) | |
Period: |
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Assessment Summary: | EX 100% | |
Assessment Detail: |
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Supplementary Assessment: |
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Requisites: | Before taking this unit you must take MA20218. Students who took MA20218 in 2015/16 or earlier must also take MA30041 before taking this unit. | |
Description: | Aims: To provide an introduction to topology and topological spaces, preparing students for later studies in algebraic topology, as well as the ideas underlying modern analysis and geometry. Learning Outcomes: * Familiarity with topological spaces and their role in topology, analysis and geometry. * Understanding of compactness and connectedness in this general setting. * Ability to apply these ideas and methods to examples. Skills:Numeracy T/F A Problem Solving T/F A Written Communication F (on problem sheets) Content: Topologies and topological spaces, continuous maps and homeomorphisms, subspaces, product spaces, quotient spaces, compactness and connectedness. Further topics will be discussed such as: function spaces and compact-open topologies; Hausdorff spaces and separation axioms; Tychonoff's theorem; Compact surfaces, their representation as quotient spaces, and a sketch of their classification. | Before taking this unit you must take MA20218. Students who took MA20218 in 2015/16 or earlier must also take MA30041 before taking this unit. |
Programme availability: |
MA30055 is Optional on the following programmes:Department of Computer Science
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Notes:
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