modules

This module develops core mathematical skills essential for progression into a degree in mathematics or other quantitative disciplines. It lays the foundation of Algebra, Trigonometry and Calculus for more advanced mathematical studies by bringing you to a level of knowledge and competence equivalent to the pre-requisite for a first year mathematics at any quantitative degree programme. In this module you will get a grasp of Algebra, which is the study of symbolic representations and the rules for manipulating symbols such as the skills required in ‘backwards thinking’. You will develop competency in elementary algebra to confidently manipulate algebraic expressions, to solve equations and inequalities, as well as to explore functional relationships. Calculus is another part of mathematics to cover in this module, which is concerned with the study of continuous changes, and has two branches, differential calculus (the study of measuring rates of change) and integral calculus (the study of accumulation of quantities), which are precisely linked by the Fundamental Theorem of Calculus. While, on the other hand, you will also learn about Trigonometry, which is the part of mathematics that involves sides and angles and the relation between them. Those skills are fundamental tools for the study of mathematics across the physical, engineering, life and environmental sciences.

 

On successful completion of this module you will be equipped with the skills to apply algebra, and to use calculus in different contexts, and you will have a sound understanding of fundamental mathematical techniques necessary to handle a diverse range of problems in mathematics, engineering and sciences.

 

This module will run over two terms; each term you will have weekly scheduled sessions led by the module instructor/convenor. During those sessions you will be introduced to the topic through lecture presentations, learning materials, worked examples and provided exercise worksheet. In this module you will learn how to: use theories, definitions and properties; analyse mathematical statements; use logic and critical thinking to perform mathematics; present findings and communicate results in a coherent way. Each term you will be assessed through a combination of summative assessments: online quizzes and a final exam.