Gwybodaeth Modiwlau

Module Identifier
Module Title
License to Use Mathematics
Academic Year
Semester 1
Exclusive (Any Acad Year)
Good Maths GCSE or above.
Reading List
Other Staff

Course Delivery



Assessment Type Assessment length / details Proportion
Semester Assessment Five Blackboard tests  Each test should take around 20 minutes but students will be allowed a 45 minute window in which to complete.   100%
Supplementary Exam 2.5 Hours   On-line BB Test  One BlackBoard test covering all topic areas. It is expected to take about 100 minutes but students will be allowed a 2.5 hour window in which to complete.  100%

Learning Outcomes

On successful completion of this module students should be able to:

Explain and draw diagrams to illustrate basic set operations;

perform arithmetic in a variety of bases, express approximations to given numbers of significant figures and to given numbers of decimal places;

manipulate algebraic formulae and simplify basic algebraic expressions;

simplify expressions and manipulate formulae involving logarithms and exponents;

graph simple functions and make simple calculations related to angles and lengths of sides of triangles.

be able to perform simple calculations related to the probabilities of events and produce summary statistics for simple data sets

Brief description

This module reviews the basic concepts of mathematics that are required by many students. It is not suitable for people with good GCSE, AS or A level Mathematics.


This module aims to provide students with the basic skills needed for successful completion of part 1.


1. Sets: what are sets and how do we describe them; cardinality; subset; power set; set union, intersection and difference; Cartesian product; disjoint union; universal set; complement of a set.

2. Numbers: natural numbers, integers, rational numbers, real numbers, complex numbers; arithmetic in different bases; fractions; expressing numbers to a given number of significant figures and to a given number of decimal places.

3. Basic Algebra: simplification of algebraic expressions; factors; arithmetic involving symbolic fractions; formula transposition; linear and quadratic equations.

4. Exponents and Logarithms: simplifying exponential expressions; logarithms to any base; the log and exponential functions; equations involving e and ln.

5. Graphs and Trigonometry: graphs of linear functions, polynomials, logarithm and exponential functions. Simple trigonmetry, sin, cos, tan and Pythagoras' theorem.

6. Probability and statistics: simple events and their probabilities. Summary statistics.

Module Skills

Skills Type Skills details
Application of Number This module includes a substantial element of number and manipulation of numeric formulae.
Communication Reasoned argument ensures clarity of communication. Clarity of thought and validity of argument are directly addressed by this module.
Improving own Learning and Performance Contributes to capacity to comprehend and profit from courses including programming, AI, robotics and telecommunications.
Problem solving Logical reasoning is central to all problem solving. Logical reasoning is supported by mathematical reasoning. Both are directly addressed within the context of this module.
Subject Specific Skills Reasoning, clarity of expression, and skill with number and formula are developed and assessed.


This module is at CQFW Level 3