
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: 
 
Assessment Summary:  EX 100%  
Assessment Detail: 
 
Supplementary Assessment: 
 
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 compactopen 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

Notes:
