Intended Learning Outcomes
Subject-specific Knowledge,
Understanding and Skills
On completing
the programme students should have acquired:
A1. An understanding of and competence
in the key ideas and techniques, and knowledge of the statement and proof of
key results, both within the core areas of real and complex analysis, linear
and abstract algebra, and probability and statistics, and in the more advanced
topics chosen in the third and fourth levels of study;
A2. An appreciation of the
hierarchical structure of mathematical knowledge;
A3. An understanding of mathematical
notation, and an ability to use it correctly, coherently and fluently;
A4. An appreciation of the importance
of proof, generalization and abstraction in the logical development of formal
theories;
A5. An ability both to follow and
correctly to construct mathematical proofs of appropriate degrees of
complexity;
A6. A deep understanding of the
mathematical and contextual basis ofstatistics as a science, and a strong
appreciation of the statistical paradigm, linking design and conduct of
experiments and observations with data analysis, modelling and inference;
A7. Experience of and technical
expertise in implementing the statistical paradigm in a wide range of general
applications, one of which is studied in detail through a substantial project;
A8 An ability to read and comprehend
mathematical literature at an appropriate level;
A9. An ability to use computers and
specialist software to investigate and solve practical mathematical problems.
General Knowledge,
Understanding and Skills
On completing
the programme students should have acquired:
B1. An ability to learn from various
styles of presentation of material and from supervised private study, and to
assimilate material from several sources;
B2. An ability to apply
previously-acquired knowledge to new situations, both to gain understanding and
to solve complex problems requiring a synthesis of several techniques;
B3. An ability to use information
skills to gain access to library and IT resources effectively in researching
topics;
B4. An ability to produce a range of
documents which accurately and effectively communicate scientific material to
the reader, and experience in doing this in a substantial dissertation;
B5. An ability to make presentations
based on prepared material;
B6. An ability to work effectively
both independently and as part of a small group;
B7. An ability to work to deadlines,
and experience in time management when working to a range of deadlines;
B8. An enhanced degree of
self-reliance and confidence in independent study through the experience of the
teaching and assessment methods that are used at North American universities.
