BSc Mathematics / Course details

Year of entry: 2023

Course description

Erin Hales

When I first visited the Alan Turing Building I was impressed with the modern, airy building and all the staff I spoke to were friendly and helpful.

My other favourite thing is the pastoral care and support on offer. Even though the Department is very large, everyone is treated like an individual.

Erin Hales / BSc Mathematics

Lay the foundations of a rewarding career with mathematics at its base by undertaking an undergraduate degree at Manchester. We offer a highly flexible degree programme, ensuring you obtain a strong all-round mathematical knowledge while at the same time encouraging you to focus on the areas that appeal most.

You will cover core topics in the first year, developing your capacity to learn and apply mathematical ideas. In the second year you then choose two from three themes: Pure Mathematics, Applied Mathematics, and Probability & Statistics, along with other optional units such as Programming with Python. You will understand the significance and power of mathematics, and will acquire a thorough knowledge and understanding of the mathematical topics that any employer would expect of a maths graduate.

After the first two years, you can choose the areas that interest you most and, from second year onwards, you can even select options from other subject areas. In your final year, you can opt to take on a staff-supervised mathematical project.

Mathematics has a rich history at Manchester - our £40 million purpose-built Alan Turing Building, the home of mathematics at Manchester, is named after just one of our famous names - and you could be part of its bright future.


  • You will develop a firm all-round mathematical knowledge, and have the opportunity to experience more specialised results, methods and ideas.
  • We offer a choice of courses from other disciplines and from a wide variety of mathematics options, allowing you to graduate with finely-honed skills in your chosen areas.
  • You can pursue whichever areas of mathematics interest you most; after your first two years you can choose your lecture courses from a widening range of options.

Special features

Options and flexibility

Our highly flexible single-honours degree programme offers you the widest choice of options - ideal if you are mathematically gifted and wish to keep your options open. You can choose courses from other disciplines and from a range of maths options.

Close community and small-group teaching

Working in the Alan Turing Building fosters a real sense of community, as does our focus on small-group teaching - especially in first year. The Department of Mathematics is also home to a number of student societies, including MathSoc , MUDSS (The Data Science Society) and the Actuarial Society , where you can meet fellow like-minded students.

Strong links with employers

You can benefit from our excellent links with a range of employers, forged through various careers events and opportunities to meet alumni.

You will have the opportunity to spend a year on a work-based placement, where you can gain invaluable work experience, learn more about the workplace and, ultimately, make informed career choices after graduation.

Teaching and learning

Most teaching is in lectures, with various support classes (example classes, small-group tutorials or sessions in one of the computer clusters) to help you get to grips with the material, exploring topics and working on examples set by the lecturers.

Coursework and assessment

Most course units have some continual assessment (which may be, for instance, a combination of homework and in-class tests), which is put together with the result of an end-of-semester examination to provide the final mark. Some course units (such as a project) are assessed entirely by your submitted work during the semester. The class of your degree is normally based on only your last two years' work.

Course content for year 2

Course units for year 2

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Managing My Future MATH20040 0 Mandatory
Mathematical Communication and Group Projects MATH20062 10 Mandatory
Real Analysis A MATH20101 10 Mandatory
Algebraic Structures 1 MATH20201 10 Mandatory
Partial Differential Equations and Vector Calculus A MATH20401 20 Mandatory
Programming with Python MATH20621 10 Mandatory
Probability 2 MATH20701 10 Mandatory
Mathematical Communication and Group Projects MATH20062 10 Optional
Metric Spaces MATH20122 10 Optional
Calculus of Several Variables MATH20132 10 Optional
Algebraic Structures 2 MATH20212 10 Optional
Introduction to Geometry MATH20222 10 Optional
Fluid Mechanics MATH20502 10 Optional
Principles of Mathematical Modelling MATH20522 10 Optional
Numerical Analysis 1 MATH20602 10 Optional
Programming with Python MATH20621 10 Optional
Random Models MATH20712 10 Optional
Foundations of Modern Probability MATH20722 10 Optional
Statistical Methods MATH20802 10 Optional
Discrete Mathematics MATH20902 10 Optional
Introduction to Financial Mathematics MATH20912 10 Optional
Creating a Sustainable World: 21st Century Challenges and the Sustainable Development Goals UCIL20311 10 Optional
From Cholera to COVID-19: A Global History of Epidemics UCIL20331 10 Optional
Communicating with Confidence UCIL21301 10 Optional
Developing an Entrepreneurial Mindset UCIL21331 10 Optional
Essential Enterprise UCIL22001 10 Optional
Displaying 10 of 26 course units for year 2

Course content for year 3

Course units for year 3

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Double Project MATH30000 20 Optional
Mathematics Education MATH30002 10 Optional
Project (Semester One) MATH30011 10 Optional
Project (Semester 2) MATH30022 10 Optional
Linear Analysis MATH31002 10 Optional
Fractal Geometry MATH31042 10 Optional
Group Theory MATH32001 10 Optional
Commutative Algebra MATH32012 10 Optional
Algebraic Geometry MATH32062 10 Optional
Number Theory MATH32072 10 Optional
Combinatorics and Graph Theory MATH32091 10 Optional
Mathematical Logic MATH33021 20 Optional
Complex Analysis&Applications MATH34011 20 Optional
Viscous Fluid Flow MATH35002 10 Optional
Wave Motion MATH35012 10 Optional
Elasticity MATH35021 10 Optional
Mathematical Biology MATH35032 10 Optional
Mathematics of a Finite Planet MATH35062 10 Optional
Symmetry in Geometry and Nature MATH35082 10 Optional
Matrix Analysis MATH36001 10 Optional
Numerical Analysis 2 MATH36022 10 Optional
Problem Solving by Computer MATH36031 10 Optional
Convex Optimization MATH36062 10 Optional
Martingales with Applications to Finance MATH37001 10 Optional
Markov Processes MATH37012 10 Optional
Statistical Inference MATH38001 10 Optional
Time Series Analysis MATH38032 10 Optional
Medical Statistics MATH38072 10 Optional
Regression Analysis MATH38141 10 Optional
Multivariate Statistics and Machine Learning MATH38161 10 Optional
Generalised Linear Models MATH38172 10 Optional
Mathematical Modelling in Finance MATH39032 10 Optional
Survival Analysis for Actuarial Science MATH39512 10 Optional
Contingencies 2 MATH39522 10 Optional
Risk Theory MATH39542 10 Optional
Displaying 10 of 35 course units for year 3

What our students say

Find out what it's like to study at Manchester by visiting the Department of Mathematics blog .


The Department of Mathematics is based in the purpose-built Alan Turing Building , set at the heart of campus. Developed with input from staff and students alike, the impressive £40 million building has been designed to provide the perfect teaching and learning environment.

You will benefit from extensive facilities for computing and study, relaxation and refreshment - all in an attractive, light and comfortable setting. Our computer clusters offer the powerful mathematical and statistical software you would expect from a leading university, including Matlab and Mathematica.

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: