Foundations - entry

This module serves as a bridge between pre-university mathematics and material covered in year 1 of our mathematics degrees. In part, it will provide revision of key concepts from A-level Mathematics or equivalent, but it will also introduce some basic ideas from A-level Further Mathematics, such as complex numbers and matrices.

This module aims to support the transition to year 1 undergraduate mathematics with elements of revision and self-study.

On successful completion of this module, you should be able to:

Module Specific Skills and Knowledge:
1 manipulate algebraic and numerical expressions accurately and with confidence;
2 compute with vectors, matrices and complex numbers;
3 perform accurate calculus manipulations using a variety of standard techniques;
4 sketch the graphs of a variety of functions of one variable;
5 recognise and solve equations involving logarithmic, exponential, trigonometric and hyperbolic functions;
6 find the general term of a sequence or series.
Discipline Specific Skills and Knowledge:
7 manipulate basic mathematical objects necessary in order to progress to successful studies in the mathematical sciences;
Personal and Key Transferable/ Employment Skills and  Knowledge:
8 formulate and solve problems and communicate reasoning and solutions effectively in writing;
9 use learning resources appropriately;
10 exhibit self management and time management skills.

Functions: logarithmic; exponential; trigonometric; hyperbolic.
Partial fractions; binomial theorem.
Basic vector arithmetic; coordinates in plane; basic matrix arithmetic.
Complex numbers: definitions & arithmetic; representations.
Differentiation & integration.
Graph sketching.
Sequences and series: sigma notation; recursion formula.
Polar coordinates.

This module is not formally assessed and is to support the transition to year 1 only.

Basic reading: Any A-level texts on mathematics and further mathematics

ELE: http://vle.exeter.ac.uk

Reading list for this module: