Introductory description

This module develops essential mathematical and statistical skills for analysing and solving a variety of problems. Students will learn how to apply core mathematical processes and statistical methods to practical and
theoretical questions, building confidence in quantitative reasoning. The focus is on real-world applications, with
problems drawn from a variety of contexts. By the end of the module, students will be able to apply a range of mathematical and statistical techniques, interpret data critically, and communicate solutions clearly and accurately.

Module web page

Module aims

Outline syllabus

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.

Mathematics: Numbers and Units, percentages and ratios, basic algebraic techniques, graphs, coordinate geometry
Probability and Statistics: Data presentation, Measures of central tendency, Measures of dispersion. Basic probability including Venn diagrams and Tree diagrams.

Learning outcomes

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

• Apply mathematical and statistical knowledge to solve a variety of mathematical and real-world problems, selecting appropriate algebraic tools and statistical models where necessary, implementing them precisely and rigorously to arrive at correct numerical or algebraic results and utilising technology effectively to simplify calculations.
• Undertake basic analysis of data by calculating summary statistics and representing data graphically, understanding the suitability and limitations of different statistical measures and graph types, interpreting the meaning of calculated results within a given context and using them to inform decision-making
• Use fundamental principles of probability to quantify uncertainty and solve problems involving probability distributions.
• Present written mathematical and statistical work clearly and logically.

Indicative reading list

Reading lists can be found in Talis

Interdisciplinary

Students will have opportunities to draw on knowledge and skills acquired within the different modules on their
pathway.

International

All students are international, representing a wide range of cultural, linguistic, and educational backgrounds. They
bring diverse experiences and perspectives, enriching discussion and supporting the development of intercultural
awareness. Examples for analysis and evaluation are drawn from a variety of countries, ensuring that teaching and
learning are embedded in an international context.

Subject specific skills

construct and present mathematical and logical arguments;
develop numeracy skills;
understand, interpret and extract information from data presented in various forms;
solve mathematical and statistical problems using appropriate techniques including using suitable technology when
appropriate;
clearly present solutions to mathematical and statistical problems using appropriate symbols and terms.

Transferable skills

problem solving skills;
analytical and logical thought processes;
appropriate use of suitable technology.