Bachelor of Science (BSc)

BSc Computer Science and Mathematics

One of the most sought-after subject combinations in industry, this course is designed to provide the perfect balance of creativity and logic.
  • Duration: 3 years
  • Year of entry: 2025
  • UCAS course code: GG14 / Institution code: M20
  • Key features:
  • Scholarships available

Full entry requirementsHow to apply

Meet us

Discover if Manchester is right for you with an online or in-person meeting.

Learn more

Discover more about our new Home of Engineering

Discover

Download our course brochure

Download

Fees and funding

Fees

Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £36,000 per annum. For general information please see the undergraduate finance pages.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.

For information about scholarships and bursaries please visit our  undergraduate student finance pages .

Course unit details:
Machine Learning

Course unit fact file
Unit code COMP24112
Credit rating 10
Unit level Level 2
Teaching period(s) Semester 2
Available as a free choice unit? Yes

Overview

The world is filling up with data - billions of images online, billions of supermarket transactions, billions of events pouring out of our everyday lives.   Machine Learning is about designing algorithms capable of automatically learning patterns from this supplied data. Examples of this are in online shopping like Amazon.com - which learns what products you like to buy, or in spam detection systems, which learn what spam looks like as you tag it in your spam folder.
 
In this course unit we will introduce you to the basics of these algorithms, implementing a basic spam filter and a handwriting recognition engine.

Pre/co-requisites

Unit title Unit code Requirement type Description
Mathematical Techniques for Computer Science COMP11120 Pre-Requisite Compulsory
Data Science COMP13212 Pre-Requisite Compulsory
Introduction to AI COMP24011 Co-Requisite Compulsory
Mathematical Foundation & Analysis MATH11121 Pre-Requisite Compulsory
Pre-requisites
 
To enrol students are required to have taken  COMP11120 and COMP13212.  Or, if you are on a Computer Science and Maths programme you must have taken MATH10111. 24011 is a co-requisite.

Aims

The unit aims to introduce of the essential concepts behind key machine learning techniques, the methodologies for building machine learning systems, the approaches for learning from data, and the experimental methods on how to evaluate the performance of a learning system and get the best performance from it. Also, we aim to provide the necessary mathematical background required to understand how the methods work. This course covers basics on both supervised and unsupervised learning paradigms and is pitched towards students with scientific/mathematical background interested in adaptive techniques for learning from data as well as data analysis and modelling.
 
Specifically, the course will cover the following. A general introduction to key concepts in machine learning and the development of the field. Essential knowledge on how to build a supervised machine learning system, including classification and regression, with respect to model architecture (e.g., instance-based model, linear model, linear basis function model, kernel methods, single- and multi-layer perceptrons, etc.), loss functions (e.g., sum of squares error, regularisation, cross-entropy, etc.), and optimisation approaches for training (e.g., basic optimality conditions, (stochastic) gradient descent, etc.). Basic knowledge on parametric, non-parametric, deterministic and probabilistic models. Essential knowledge on clustering analysis. Essentials on how to measure performance of a machine learning system for classification, regression and clustering. Basics on bias and variance issues, over-fitting and under-fitting. Essential knowledge and practical skills on how to perform machine learning experiments, data usage for model training, model selection and model testing.

Learning outcomes

  • Describe fundamental concepts in machine learning (including supervised and unsupervised learning, classification, regression and clustering), and essential elements for building a machine learning system.
  • Explain key supervised learning techniques, compare their differences (including limitations and advantages, quality and trade-offs, commercial/industrial concerns). Apply the knowledge to select suitable techniques for a particular application.
  • Explain key clustering algorithms and their applications.
  • Describe fundamental concepts in model evaluation and selection, explain the training, validation and testing processes, hyperparameter selection approaches. Apply the knowledge to use data, design machine learning experiments, and make observations from results.
  • Design and implement machine learning solutions to real-world problems, evaluate the solution, analyse results and implication.
  • Recognise and describe issues in machine learning.

Syllabus

  • Machine Learning Basics
  • k-Nearest Neighbours
  • Machine Learning Experiments
  • Machine Learning Models
  • Loss Functions
  • Training and Optimisation
  • Artificial Neural Networks
  • Support Vector Machines
  • Clustering Analysis
  • Deep Learning Models

Teaching and learning methods

Weekly lectures with structured input and exploratory activities. These will be organised as a blend of brief presentations, tutorial question and practice activities, discussions of materials and tasks that are available online, and question-answer sessions.

 

Bi-weekly laboratories will be drop-in help desks where GTAs provide support for problems provided in lab scripts. These will also be used as surgeries to provide feedback on assessments and as an opportunity to ask questions about the set tasks, and learning materials. Lab scripts contain assessments on mathematical programming for supporting basic machine learning model implementation, also design, implementation and analysis of machine learning techniques for real-world applications.

Employability skills

Analytical skills
Project management
Problem solving
Written communication

Assessment methods

Method Weight
Written exam 70%
Practical skills assessment 30%

Feedback methods

Cohort-level feedback after marking and individual feedback provided by GTA upon request.

Recommended reading

1.  Pattern Recognition and Machine Learning.  Bishop, Christopher M.  ISBN: 978-0387-31073-2.  PUblished by springer.  2006.  Core material.
 
2.  Introduction to machine learning.  Alpaydin, E.  ISBN: 978-0-262-02818-9.  Published by The MIT Press.  2014.
 
3.  Machine learning: A probabilistic perspective.  Murphy, Kevin P.  ISBN: 978-0-262-01802-9.  Published by The MIT Press.  2012.
 
COMP24112 reading lists can be found on the Department of Computer Science internal pages

Study hours

Scheduled activity hours
Assessment written exam 2
Lectures 22
Practical classes & workshops 12
Independent study hours
Independent study 64

Teaching staff

Staff member Role
Tingting Mu Unit coordinator

Return to course details