This module covers the specialist mathematics required to pursue a degree in engineering science, mathematics or physics. The content is mapped to UK RQF Level 3 Maths for A-Level and includes content also relevant to UK Further Maths A-Level content as relevant for progression in mathematics
related fields.
It provides students with a strong foundation in calculus and vectors and ensures the study of pure and applied mathematics, in a range of contexts and related fields.
Learning Aims (include but not limited to)
Students will be able to:
- Use and apply mathematical strategies in the fields of geometry, number, pure and applied mathematics, algebra and graphical / illustrative information presentation and vectors;
- Solve algebraic problems from abstract, physical and graphical contexts, using skills including coordinate geometry, indices, surds, logs, calculus and trigonometry;
- Design, construct and accurately review a range of graphical information sets, data collection methods & presentation strategies in context and for a range of purposes;
- Extend their range of mathematical skills and techniques & understand mathematics and mathematical processes in ways that provide a strong foundation for further study in fields of technology, engineering, science;
- Apply mathematics in other fields of study & use their mathematical knowledge to make logical and reasoned decisions in a variety of contexts and communicate the mathematical rationale for these decisions;
- Apply their mathematical skill to challenging problems which require them to decide on the solution strategy in context;
- Use technology such as calculators and computers effectively, and recognise when such use may be inappropriate.
These over-arching aims are assigned to RQF Level 3 descriptors, and the specific Learning Outcomes in
the full module specification.
Assessment Objectives
AO 1: Use and apply standard techniques. Students should be able to:
- Select and correctly carry out routine procedures;
- Accurately recall facts, terminology and definitions.
AO 2: Reason, interpret and communicate mathematically. Students should be able to:
- Construct rigorous mathematical arguments (including proofs);
- Make deductions and inferences;
- Assess the validity of mathematical arguments;
- Explain their reasoning;
- Use mathematical language, syntax and notation correctly.
AO 3: Solve problems within mathematics and in other contexts. Students should be able to:
- Translate problems in mathematical and non-mathematical contexts into mathematical processes;
- Interpret solutions to problems in their original context, and, where appropriate, evaluate their accuracy and limitations;
- Translate situations in context into mathematical models;
- Use mathematical models;
- Evaluate the outcomes of modelling in context, recognise the limitations of models and, where appropriate, explain how to refine them.
- Where questions/tasks targeting any assessment objective will also require abilities demanded by others, an appropriate proportion of the marks for the question/task will be attributed to the corresponding assessment objective(s).
- All AOs are assessed in each assessment, this includes both exam papers and the prerelease task. The weighting of the raw marks in each assessment is by credit value (below) allowing students to develop their skills in a linear route through the course with depth and breadth built in the model and assessment scheme. The exams therefore indicate which specific Learning Outcomes in the specification are assessed at each assessment point.
Indicative Assessment Tasks
