2022/23 Undergraduate Module Catalogue

XJCO1421 Fundamental Mathematical Concepts

10 creditsClass Size: 100

Module manager: Dr John Stell
Email: j.g.stell@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2022/23

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. The module will consider applications of the fundamental mathematical concepts into the contexts of verification and program correctness, systems security and complexity analysis.

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	20	1.00	20.00
Tutorial	10	1.00	10.00
Private study hours			70.00
Total Contact hours			30.00
Total hours (100hr per 10 credits)			100.00

Opportunities for Formative Feedback

Attendance and formative assessment

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
In-course Assessment	Online Coursework 1	5.00
In-course Assessment	Online Coursework 2	5.00
In-course Assessment	Online Coursework 3	5.00
Total percentage (Assessment Coursework)		15.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams

Exam type	Exam duration	% of formal assessment
Online Time-Limited assessment	2 hr	85.00
Total percentage (Assessment Exams)		85.00

This module is re-assessed by online time-limited assessment.

Reading list

The reading list is available from the Library website

Last updated: 01/06/2022 16:59:02

Disclaimer

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