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4CCM115a Numbers and Functions

Lecturer:  Professor David Burns

Semester:  1

Credit level:  4       Credit Value: 15


Mathematics BSc/MSci                                                         First Year

Mathematics with a Year Abroad BSc                                First Year

Mathematics with Statistics BSc                                          First Year

Mathematics with Management and Finance BSc          First Year

Mathematics and Physics BSc/MSci                                  First Year

Mathematics and Philosophy BA                                        First Year

Advice/Help for this module is also available from: Dr Mahesh Kakde


To introduce the ideas and methods of university level pure mathematics. In particular, the module aims to show the need for proofs, to encourage logical arguments and to convey the power of abstract methods. This will be done by example and illustration within the context of a connected development of the following topics: real numbers, sequences, limits, series.


Sets and functions. Real numbers. Sequences: boundedness, convergence, subsequences, Cauchy sequences

Teaching arrangements 

Three hours of lectures each week, together with a one-hour tutorial.



Summative assessment
 TypeWeightMarking Model
2 hr written examination 80% Model 2
3 x class tests 20% Model 6

For students who fail the module at the first attempt, reassessment will be based entirely on the written exam. 

Formative assessment

Exercise sheets are handed out on a weekly basis and written answers must be given in by the due date.

Required reading/resources


Suggested reading/resource (link to My Reading Lists)


17 August 2017
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