This module runs in term 1 and is core for students with their home department in Statistics. It is NOT available for other students.

Students will develop a deeper understanding of mathematical concepts and relations using problem solving techniques such as visualisation and exploration of patterns. By learning to express mathematical ideas clearly and precisely students will further deepen their understanding and enhance their mathematical reasoning and communication skills.

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

An introduction to mathematical thinking and writing covered through examples and applications from the areas such as logic, sets, functions, combinatorics, and discrete probability.

By the end of the module, students should be able to:

- Use mathematical notation accurately.
- Apply a selection of mathematical problem solving techniques.
- Visualise mathematical concepts.
- Understand and construct a coherent, rigorous mathematical argument.

K. Houston (2009) "How to think like a Mathematician", Cambridge University Press.

L.Alcock (2013) "How to study for a mathematics degree ", Oxford University Press.

K.Devlin (2003) "Sets, Functions, and Logic: an Introduction to Abstract Mathematics",

Chapman & Hall/CRC.

Ross, S. (2014). A first course in probability. Pearson.

View reading list on Talis Aspire

- familiarity with basic concepts in the foundational core of mathematics and key ideas in discrete probability theory and the ability to perform routine calculation and manipulation within this basic body of knowledge;
- familiarity with basic mathematical approaches to problem solving and the ability to justify chosen solution strategies;
- an appreciation of the structure of logical mathematical arguments and the ability to develop and reproduce simple mathematical arguments and proofs with a degree of clarity and accuracy;
- the ability to persist with simple, non-routine mathematical problems.

- the ability to use a learning style and pace appropriate for first year university and to appreciate their strengths and weaknesses as learners;
- the ability to work within a structured environment with some degree of autonomy;
- problem-solving, numerical and analytical skills in routine, possibly abstract, contexts and the ability to communicate appropriate solutions with a degree of clarity and accuracy;
- time-management and organisational skills;
- decision-making skills in standard, well-defined contexts.

Type | Required |
---|---|

Lectures | 30 sessions of 1 hour (25%) |

Tutorials | 8 sessions of 1 hour (7%) |

Private study | 58 hours (48%) |

Assessment | 24 hours (20%) |

Total | 120 hours |

Weekly revision of lecture notes and materials, wider reading and practice exercises, working on problem sets and preparing for examination.

No further costs have been identified for this module.

You do not need to pass all assessment components to pass the module.

Weighting | Study time | |
---|---|---|

Problem Sets | 20% | 24 hours |

There will be weekly problem sets, of which up to five will contribute towards your module mark. |
||

2 hour examination (December) | 80% | |

The examination paper will contain four questions, of which the best marks of THREE questions will be used to calculate your grade. ~Platforms - Moodle |

Weighting | Study time | |
---|---|---|

2 hour examination (September) | 100% | |

The examination paper will contain four questions, of which the best marks of THREE questions will be used to calculate your grade. ~Platforms - Moodle |

You will hand in answers to selected questions on the weekly problem sheets. Your work will be marked and returned to you in the tutorial taking place the following week when you will have the opportunity to discuss it.

Solutions and cohort level feedback will be provided for the examination and the results for the exam in December will be available by the end of Week 10 of Term 2.

This module is Core for:

- Year 1 of USTA-G302 Undergraduate Data Science
- Year 1 of USTA-G304 Undergraduate Data Science (MSci)
- Year 1 of USTA-G300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics
- Year 1 of USTA-G1G3 Undergraduate Mathematics and Statistics (BSc MMathStat)
- Year 1 of USTA-GG14 Undergraduate Mathematics and Statistics (BSc)
- Year 1 of USTA-Y602 Undergraduate Mathematics,Operational Research,Statistics and Economics