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2023/24 Undergraduate Module Catalogue
COMP1421 Fundamental Mathematical Concepts
10 creditsClass Size: 500
Module manager: Dr Sam Wilson
Email: S.S.Wilson@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2023/24
This module is not approved as a discovery module
Module summary
Computer Science, at its foundation, is a mathematical and engineering discipline. This module focuses on the mathematical concepts that are fundamental to the study of Computer Science. In order to fully understand the concepts of algorithms design, logical reasoning and programming it is necessary to understand how to apply mathematical arguments and how to apply mathematical knowledge to model real world problems.This module forms the vital core of the Computer Science curriculum and encourages students to view real world problems as mathematical problems and will prepare students for further mathematical study in Computer Science.Objectives
To develop an appreciation and familiarity of mathematical concepts and their application in computer science in addition to equipping students with the appropriate problem-solving techniques and transferable skills to tackle real world problems. To prepare students for further mathematical study in the discipline of Computer Science.Learning outcomes
On successful completion of this module a student will have demonstrated the ability to:
- apply their mathematical knowledge to real world problems.
- identify appropriate mathematical tools to solve problems.
- construct mathematical arguments to prove theorems.
- deploy problem solving techniques to problems within the discipline.
Syllabus
This module covers the following 5 topic areas:
- Logic : propositions, connectives, truth tables, tautologies, contradictions, predicates and quantifiers.
- Proof techniques : direct proof, proof by contradiction, proof by contraposition and mathematical induction.
- Set theory : sets, set operations, Venn diagrams, set equality, subsets and cardinality.
- Relations & Functions : relations of sets, inverse functions, equivalence relations, order relations, domain and range, inverse functions, composition of functions and properties of functions.
- Vectors & Matrices : addition, multiplication, distributive and associativity, non-commutativity, identity matrix and inverse of square matrices.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 22 | 1.00 | 22.00 |
| Tutorial | 10 | 1.00 | 10.00 |
| Private study hours | 68.00 | ||
| Total Contact hours | 32.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Opportunities for Formative Feedback
Attendance and formative assessmentMethods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | Online Coursework 1 | 10.00 |
| In-course Assessment | Online Coursework 2 | 10.00 |
| Total percentage (Assessment Coursework) | 20.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated.
Exams
| Exam type | Exam duration | % of formal assessment |
| Open Book exam | 2 hr | 80.00 |
| Total percentage (Assessment Exams) | 80.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 26/09/2023
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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