Why this course?
Mathematics is everywhere: weather forecasting, cash machines, secure websites, electronic games, liquid crystal displays, statistical data analysis.
We use statistics to explore and explain the world in which we live, such as in opinion polls and market research. However, it’s also important for manufacturing and testing many products, in particular showing that modern drugs are safe in treating humans.
Our course focuses on applying mathematics to solving practical problems.
Computers are an essential part of modern business and mathematics must often be formulated before the computer can be of use.
This degree will give you the skills to tackle problems in a business environment.
What you’ll study
This is a four-year joint Honours programme and taught in partnership with the Department of Computer & Information Sciences.
Each year contains compulsory classes and some years contain either optional classes and/or elective classes.
Years 1 & 2
Each area is studied equally. In addition to core mathematical methods, you’ll study calculus, geometry, applied analysis, mechanics, numerical analysis and probability and statistics. Computer Science classes include calculus, geometry, applied analysis, programming, logic and information systems.
Years 2 & 3
This flexible joint degree allows you to focus up to three of your classes in either Mathematics or Computer Science.
Your final year project may be carried out in either subject. Honours graduates with enough computing classes may seek accreditation from the British Computer Society.
We work with several companies and organisations to provide suggestions for student projects – either individual or group final year projects.
These tend to be more ambitious or speculative in nature than a traditional development project, particularly the group projects, and employers will work with our staff to develop an idea that's suitable for both parties.
Projects are supervised by our academic staff with individuals from the sponsoring organisation providing occasional advice and feedback, and also seeing the final demonstration.
You’ll have access to well-equipped, modern laboratories and teaching rooms as well as 24-hour access to an advanced computer information network and a sophisticated virtual e-learning environment. We have also an undergraduate common room which gives you a modern and flexible area that's used for individual and group study work and is also a relaxing social space.
High Flyer Programme
Well-qualified applicants with appropriate A Levels and Advanced Highers will be admitted to the Faculty of Science prestigious 'High Flyer' Programme, which allows students to complete an Honours degree in three years and an Integrated Masters degree in four. If you are studying the relevant subjects you may receive a dual offer, specifying grades to direct entry to Year 2 as a High Flyer and also standard Year 1 entry.
Find out more about our High Flyer Programme.
The Andersonian Mathematical Society
This society is run by our students and organises various mathematically, socially or sport focused events for staff and students.
Introduction to Calculus
You'll study the basic concepts and standard methods of mathematical notation and proof, polynomial equations and inequalities, sequences and series, functions, limits and continuity, differentiation and integration.
Applications of Calculus
Geometry & Algebra with Applications
The fundamental concepts of calculus (differentiation and integration) presented in Applications of Calculus will be examined in more detail, extended to a larger class of functions by means of more sophisticated methods, including an introduction to complex numbers and variables, all demonstrated in application to practical problems including solving basic first and second-order differential equations.
This class will introduce you to vectors and matrices, along with the idea of mathematical modelling through their application to real-world problems.
Machines, Languages & Computation
This class will help you achieve a broad knowledge of the essence of computation and computational systems, as embodied by the notions of computable functions, formal languages and recursion, logic and computability and abstract machines.
Information & Information Systems
This class will help you understand a broad knowledge of information systems and how information is created, used and disseminated within an information society.
This class will provide you with a solid foundation in the principles of computer programming. On completing this class you should have the necessary skills to be able to design, build and test a small system in a high-level language (Java in the current incarnation of the class).
Linear Algebra & Differential Equations
This class will introduce you to the basic ideas of linear algebra, such as matrices and determinants, vector spaces, bases, eigenvalues and eigenvectors. You'll study various standard methods for solving ordinary differential equations and understand their relevance.
Basic ideas, techniques and results for calculus of two and three variables, along with differentiation and integration over curves, surfaces and volumes of both scalar and vector fields will be presented.
This class will give a rigorous treatment of convergence of sequences and infinite series of real numbers and of continuity, differentiability and integrability of functions of a real variable, and will illustrate the importance of these concepts in the analysis of problems arising in applications.
Logic & Algorithms
This class will further your skills in object-oriented programming, provide knowledge of key abstract data types along with their implementation and usage, and to provide experience in the development of larger scale software and an introduction to design.
Your main goal is to be able to develop larger programs with specialized data structures and utilizing APIs from a specification, and being able to ensure and show how the system they developed matches the specification.
This class will equip you with the tools to model and measure computation. To build on the module Machines, Languages and Computation, and develop further understanding of the mathematical foundations of computation. To foster an analytical and empirical appreciation of the behaviour of algorithms and the use of abstract data types.
User & Data Modelling
This class will provide you with a critical appreciation and understanding of how to model user activities and the data to support them, together with how to implement systems and databases to support user activities.
Compulsory classesLinear Algebra
Here we'll introduce basic algebraic structures, with particular emphasis on those pertaining to finite dimensional linear spaces and deepen your understanding of linear mappings. We'll also provide an introduction to inner product spaces and bilinear forms.
We'll introduce you to analytical methods for solving ordinary and partial differential equations so you'll develop an understanding along with technical skills in this area.
Optional classesApplicable Analysis
We'll introduce you to the basic theory and applications of metric spaces, normed vector spaces and Banach spaces, inner product spaces and Hilbert spaces, and bounded linear operators on normed linear spaces.
This module will motivate the need for numerical algorithms to approximate the solution of problems that can't be solved with pen and paper. It'll develop your skills in performing detailed analysis of the performance of numerical methods and will continue to develop your skills in the implementation of numerical algorithms using R.
Compulsory classBuilding Software Systems
This class will extend and deepen your understanding of the analysis, design and implementation of software systems; to provide further experience in the activity of designing and implementing non-trivial systems; and to enable you to demonstrate practical competence in a group environment.
Your goal is the development in a group setting of significant systems from scratch aiming not just at any solution but a good solution, and to be introduced to more general Software Engineering topics.
Optional classesFoundations of Artificial Intelligence
Programming Language Definition & Implementation
Pre-requisites: Advanced Programming, Logic & Algorithms.
This class will help to give you a broad appreciation of the scale and nature of the problems within Artificial Intelligence and to a detailed understanding of some of the fundamental techniques used to address those problems.
Web Applications Development
The class will provide familiarisation with the definition of programming language syntax and semantics, and the translation of these definitions into an implementation of a programming language.
Pre-requisites: Advanced Programming, User & Data Modelling.
This class will give you an understanding of the technologies used in the development of N-tier Internet-based applications.
Pre-requisites: Basic programming skills, as might be gained by taking the class Programming Foundations or a similar introductory programming class.
To aim is to provide you with skills in basic functional programming and experience in integrated deployment of those skills.
Compulsory classCommunicating Mathematics & Statistics
This class provides you with experience of the skills required to undertake project work, and to communicate the findings in written and oral form using a variety of sources, such as books, journals and the internet.
Optional classesModelling & Simulation with Applications to Financial Derivatives
Applicable Analysis 3
Here you'll get an introduction to ideas in mathematics and statistics that can be used to model real systems, with an emphasis on the valuation of financial derivatives. This module places equal emphasis on deterministic analysis (calculus, differential equations) and stochastic analysis (Brownian motion, birth and death processes). In both cases, in addition to theoretical analysis, appropriate computational algorithms are introduced. The first half of the class introduces general modelling and simulation tools, and the second half focuses on the specific application of valuing financial derivatives, including the celebrated Black-Scholes theory.
Statistical Modelling & Analysis
This class will present the main results in Functional Analysis, give an introduction to linear operators on Banach and Hilbert spaces and study applications to integral and differential equations.
Fluids & Waves
This class will provide you with a range of applied statistical techniques that can be used in professional life.
Finite Element Methods for Boundary Value Problems & Approximation
You'll be introduced to the theory of Newtonian fluids and its application to flow problems and the dynamics of waves on water and in other contexts.
Applied Statistics in Society
You'll be presented with the basic theory and practice of finite element methods and polynomial and piecewise polynomial approximation theory.
Mathematical Introduction to Networks
You'll be introduced to a range of modern statistical methods and practices used in industry, commerce and research, and will develop skills in your application and presentation.
Mathematical Biology & Marine Population Modelling
This class will demonstrate the central role network theory plays in mathematical modelling. It'll also show the intimate connection between linear algebra and graph theory and how to use this connection to develop a sound theoretical understanding of network theory. Finally, it'll apply this theory as a tool for revealing structure in networks.
Elasticity & Complex Materials
Here you'll learn the application of mathematical models to a variety of problems in biology, medicine, and ecology. It'll show the application of ordinary differential equations to simple biological and medical problems, the use of mathematical modelling in biochemical reactions, the application of partial differential equations in describing spatial processes such as cancer growth and pattern formation in embryonic development, and the use of delay-differential equations in physiological processes. The marine population modelling element will introduce the use of difference models to represent population processes through applications to fisheries, and the use of coupled ODE system to represent ecosystems. Practical work will include example class case studies that will explore a real-world application of an ecosystem model.
Optimisation: Theory & Practice
We'll introduce you to general continuum theory with applications to Newtonian and non-Newtonian fluids and elastic materials.
We'll provide you with a basic mathematical understanding of modern approaches to optimisation and the calculus of variations.
Dynamical Models in Epidemiology
Here you'll develop approaches to understanding complex or random systems in or out of equilibrium, based on ideas from statistical mechanics that incorporate familiar concepts and methods from neighbouring subjects like classical mechanics and probability and statistics.
You'll also be able to describe, through various examples and techniques, how macroscopic properties of systems arise from the ensemble action of many microscopic ingredients, and, specifically, how deterministic 'laws' may arise from basic randomness of a system with many variables or degrees of freedom. Fundamental examples include Brownian motion and the ideal gas.
We'll introduce mathematical models which arise in epidemiology and population dynamics, and help you develop techniques for analysing the qualitative behaviour of the associated dynamical systems.
Compulsory classIndividual Project
This class will allow you to demonstrate practical and documentary competence. You'll also be expected to give a demonstration of your work.
Optional classesSoftware Architecture & Design
Theory of Computation
This class aims to:
- enable you to understand the challenges of advanced software design and the issues associated with large-scale software architectures, frameworks, patterns and components
- develop your understanding of the tools and techniques that may be used for the automatic analysis and evaluation of software
Building on the previous material in software development, you'll extend and formalise your abilities in the area of computational complexity.
Information Access & Mining
This class will allow you to understand the fundamentals of information access and information mining. The class will cover a range of techniques for extracting information from textual and non-textual resources, modelling the information content of resources, detecting patterns within information resources and making use of these patterns.
Knowledge, understanding and subject-specific skills are assessed by course work assignments, reports, presentations and written examinations.
Learning & teaching
Teaching methods include lectures (using a variety of media, including electronic presentations and computer demonstrations), tutorials, problems classes, computer laboratories, coursework and projects.
These methods will allow you to gain knowledge, understand and develop intellectual thinking and learn practical and transferable skills.
On completion of this course you’ll be able to:
- demonstrate subject knowledge
- show an understanding of the main mathematical theories as well as one or more specialised areas
- demonstrate an understanding of computer science
- demonstrate skills in calculation and use of the knowledge learned
- develop and evaluate logical arguments, presenting them and their conclusions clearly and accurately
- demonstrate a range of problem solving skills e.g. abstracting the essentials of problems, formulating them mathematically and finding solutions by appropriate methods using appropriate software
- undertake a critical analysis of data and draw conclusions from it
- demonstrate a range of general skills including IT competency
Required subjects are indicated following minimum accepted grades.
Year 1 entry: AABB or ABBBC (Maths A, Advanced Higher Maths recommended)
Year 2 entry: AB
(Maths A, Computing Science, involving an appropriate programming language)
Year 1 entry: BBB (Maths B)
Typical entry requirements: ABB
Year 2 entry: ABB (Maths A, Computing, involving an appropriate programming language)
Typical entry requirements: AAA
Year 1 entry: 32
Year 2 entry: 36 (Maths HL6, Computer Science, involving an appropriate programming language)
Year 1 entry: relevant HNC with strong mathematical content, B in Graded Unit
Year 2 entry: not offered
We want to increase opportunities for people from every background. Strathclyde selects our students based on merit, potential and the ability to benefit from the education we offer. We look for more than just your grades. We consider the circumstances of your education and will make lower offers to certain applicants as a result.
Find out if you can benefit from this type of offer.
Find out entry requirements for your country.
Degree preparation course for international students
We offer international students (non EU/UK) who do not meet the entry requirements for an undergraduate degree at Strathclyde the option of completing an Undergraduate Foundation year programme at the International Study Centre. To find out more about these courses and opportunities on offer visit isc.strath.ac.uk or call today on +44 (0) 1273 339333 and discuss your education future.
You can also complete the online application form, or to ask a question please fill in the enquiry form and talk to one of our multi-lingual Student Enrolment Advisers today.
Fees & funding
How much will my course cost?
Rest of UK
Course materials & costs
Class materials (lecture notes and exercise sheets) for the majority of Maths & Stats classes are available free to download. For some classes, students may need access to a textbook. Textbook costs are typically in the £20-60 price range. These prices are dependent on format (e-book, soft or hardback) and whether bought new or second hand.
PVG scheme (Protection of Vulnerable Groups)
Third-year Maths and Teaching students will need to pay for the full price of a PVG membership scheme.
£40 returnable deposit for PRS handsets
Course materials & costs
There is no charge for lecture notes or equipment. Students are supplied with 500 free print units - but must purchase any additional units. However, most coursework is submitted electronically.
Books are recommended, but not a compulsory purchase. The department ensures that the University library is stocked with copies of textbooks.
Please note: All fees shown are annual and may be subject to an increase each year. Find out more about fees.
How can I fund my studies?
Students from Scotland and the EU
If you're a Scottish or EU student, you may be able to apply to the Student Award Agency Scotland (SAAS) to have your tuition fees paid by the Scottish government. Scottish students may also be eligible for a bursary and loan to help cover living costs while at University.
For more information on funding your studies have a look at our University Funding page.
Students from England, Wales & Northern Ireland
If you’re from England, Wales or Northern Ireland you may be able to apply for help to pay your tuition fees and living costs from your local funding body.
We also have a few bursaries on offer for students from England, Wales and Northern Ireland.
For more information on funding your studies have a look at our University Funding page.
International Students (Non UK, EEA)
We have a number of scholarships available to international students. Take a look at our scholarship search to find out more.
We have a wide range of scholarships available. Have a look at our scholarship search to find a scholarship.
Graduates in Mathematics & Computer Science can go into a wide range of jobs from the manufacturing and service industries, the actuarial, accountancy and banking professions, commerce and government, consultancy and education.
Graduates in Mathematics & Computer Science are well prepared for careers involving theoretical computer science or programming of advanced scientific problems including cryptography.
How much will I earn?
The average graduate salary is around £22,000. With experience, this can rise to around £42,000.*
*Information is intended only as a guide.