Module code: COM1026

Module Overview

The course introduces the core concepts of discrete mathematics, including truth tables, propositional and predicate logic, set theory, number theory, relations, functions and mathematical proof. These concepts are useful throughout the programme.

Module provider

Computer Science

Module Leader

DONGOL Brijesh (Computer Sci)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 4

Module cap (Maximum number of students): N/A

Overall student workload

Independent Learning Hours: 121

Lecture Hours: 24

Tutorial Hours: 12

Module Availability

Semester 1

Prerequisites / Co-requisites


Module content

Indicative content includes:

  • Logic:

    • Truth tables

    • Propositional logic

    • Quantifiers & Predicate logic

  • Set theory:

    • Sets: definition, union, intersection, power set, set comprehension

    • Cartesian products, relations

  • Elements of number theory:

    • Natural numbers

    • Euclidean algorithm

    • Modular arithmetics

  • Functions:

    • Surjective, injective and bijective functions

    • Periodic, logarithmic, exponential and polynomial functions

  • Introduction to a programming and mathematical modelling environment, in which the following can be performed:

    • Numerical calculations

    • Plot graphs

    • Simple programs to solve numerical problems (e.g., find zeros of a polynomial)

  • Proof Methods

    • Direct proofs

    • Proofs by contradiction

    • Proof by induction

Assessment pattern

Assessment type Unit of assessment Weighting
Practical based assessment Lab-Test I 20
Practical based assessment Lab-Test II 20
Examination EXAMINATION - 2 HOURS 60

Alternative Assessment


Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate that they have achieved the module learning outcomes.

Thus, the summative assessment for this module consists of:

  • An individual lab test on truth tables, propositional and predicate logic. This addresses LO1 and LO2.

  • An individual lab test on sets, relations,  nb. theory, functions. This addresses LO1, LO3, LO4 and LO5.

  • An unseen examination on the whole course content. This addresses LO1, LO2, LO3, LO4, LO5 and LO6.

The individual lab tests will be around week 5 and 10 respectively. The exam takes place at the end of the semester during the exam period.


Formative assessment and feedback

PollEverywhere will be used in the lectures with each lecture consisting of a number of slides explaining the theory followed by a number of slides gauging the students’ understanding. The answers are discussed when necessary, e.g., if a high proportion (more than 25%) of the students got the answer wrong.

Module aims

  • This module aims to introduce students to some of the key concepts of logic, set theory, mathematical functions and proof methods in order to highlight the importance and power of abstraction within computer science.

Learning outcomes

Attributes Developed
001 Recognise the importance and role of logic in computing C
002 Understand and manipulate propositions and predicates KCT
003 Understand and manipulate set theoretic expressions including relations and functional notation KCT
004 Understand mathematical functions KPT
005 Recognise, understand and construct rigorous mathematical proofs CT
006 Use a programming environment to perform calculations, plot graphs, and write simple programs K
007 Understand elements of number theory K

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

Methods of Teaching / Learning

The learning and teaching strategy is designed to:

  • Help students recognise the importance and role of logic in computing

  • Provide opportunities to manipulate propositions, predicates and set theoretic expressions including relations and functional notation

  • Help students to assimilate the concept of formal proof

  • Enable students to extract information about a function by sketching its graph

  • Highlight the links between logic, abstraction, software specifications and programming


The learning and teaching methods include:

  • Lectures (11 weeks at 2h) using PollEverywhere handsets to gauge the students’ understanding

  • Tutorials (11 weeks at 1h)


Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Reading list
Upon accessing the reading list, please search for the module using the module code: COM1026

Programmes this module appears in

Programme Semester Classification Qualifying conditions
Computer Science BSc (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Computing and Information Technology BSc (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2020/1 academic year.