Introductory description

Students will learn about the basics of linear algebra and matrices, topics in continuous mathematics, and further probability, and become familiar with some of the fundamental theorems in these areas. Eventually, they will apply their knowledge of these areas to solve relevant problems.

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.

This module will cover:

• A review of previous topics (e.g. number systems, introductory algebra, basic probability)
• Linear algebra and matrices
• Topics in continuous mathematics
• Further topics in probability

Learning outcomes

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

• Understand and apply basic concepts of matrices and linear algebra (e.g. vectors, linear independence, subspaces, bases, matrix algebra, solutions of linear equations).
• Understand and apply basic concepts of sequences and series (e.g. limits and convergence).
• Understand and apply basic concepts of differential and integral calculus (e.g. limits, continuity, differentiable functions, differentiation on inverse functions, integration, logarithms, exponentials, Taylor's Theorem).
• Understand and apply basic concepts of algebraic structure (e.g. groups, rings, fields, vector spaces).
• Understand and apply selected topics in probability.

Indicative reading list

Jeffrey, A., "Mathematics for Engineers and Scientists (6/e)", Chapman and Hall (2005)
Stephenson, G., "Mathematical Methods for Science Students (2/e)", Longman Scientific and Technical (1973)

Subject specific skills

• Use a range of analytical techniques such as data mining, time series forecasting and modelling techniques to identify and predict trends and patterns in data

Transferable skills

• Have demonstrated that they have mastered basic business disciplines, ethics and courtesies, demonstrating timeliness and focus when faced with distractions and the ability to complete tasks to a deadline with high quality.
• Flexible attitude
• Ability to perform under pressure
• A thorough approach to work
• Logical thinking and creative approach to problem solving