MMath Mathematics with Financial Mathematics / Course details

Year of entry: 2022

Course description

First Year BSc Mathematics with Scarlett and Hana

This flexible single-honours undergraduate master's degree programme is designed for those who are interested in learning about some of the recent applications of mathematics to the financial sector and pursuing a career in this area. It enables you to acquire a working knowledge of models and procedures and modern financial mathematics as applied in banks, broker companies and insurance companies as well as in the financial departments of national and international companies. You get good all-round mathematical knowledge together with the ability to experience more specialised results, methods and ideas. You get an education in sufficient depth in these areas to enable you to undertake postgraduate studies, conduct mathematical research or work as a specialist mathematician in industry, business or higher education.

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: Probability & Statistics, and a half of Pure Mathematics or Applied Mathematics, along with 20 credits from the Alliance Manchester Business School course units. You will understand the significance and power of mathematics, and will acquire a thorough knowledge and understanding of the mathematical and financial topics that any employer would expect of a math with finance graduate.

After your first two years, you choose your lecture courses from a widening range of options in order that you can pursue whichever areas of mathematics most interest you. You also undertake a substantial finance-related final year project.

Special features

  • Small group teaching is a significant part of the first year.
  • A wide range of options is available in the third year.
  • All undergraduate students have affiliate membership of the Institute of Mathematics and its Applications.
  • Students have an opportunity to spend a year on a work based placement. This gives an opportunity to gain invaluable work based experience and learn more about themselves and the workplace so that they are better able to make good choices about a career post-graduation. Many students who have a year placement are taken on by the same employer once they have finished their studies. For students who take the 4 year MMath course, there is the choice of taking a placement year either between years 2 and 3, or between years 3 and 4.  Guidance will be given. Whilst students wanting to take the work based placement are responsible for finding their own placement, they will be supported in this through a special programme set up to help them. This will be done by working closely with dedicated advisers from the Careers Service and support and mentoring within the Department. 

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 1

Course units for year 1

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
Linear Algebra MATH11022 20 Mandatory
Real Analysis MATH11112 10 Mandatory
Mathematical Foundation & Analysis MATH11121 20 Mandatory
Mathematical Problem Solving MATH11221 20 Mandatory
Introduction to Vector Calculus MATH11411 10 Mandatory
ODEs and Applications MATH11422 20 Mandatory
Probability I MATH11711 10 Mandatory
Statistics I MATH11712 10 Mandatory

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
Fundamentals of Financial Reporting B BMAN10621B 10 Mandatory
Fundamentals of Management Accounting BMAN10632 10 Mandatory
Managing My Future MATH20040 0 Mandatory
Real Analysis A MATH20101 10 Mandatory
Partial Differential Equations and Vector Calculus A MATH20401 20 Mandatory
Probability 2 MATH20701 10 Mandatory
Introduction to Financial Mathematics MATH20912 10 Mandatory
Metric Spaces MATH20122 10 Optional
Calculus of Several Variables MATH20132 10 Optional
Algebraic Structures 1 MATH20201 10 Optional
Algebraic Structures 2 MATH20212 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
Leadership of Learning - with Teaching Placement UCIL20001 10 Optional
Leadership in Action Online Unit UCIL20031 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
Leadership of Learning - with Teaching Placement UCIL21002 10 Optional
Communicating with Confidence UCIL21301 10 Optional
Communicating with Confidence UCIL21302 10 Optional
Developing an Entrepreneurial Mindset UCIL21331 10 Optional
Essential Enterprise UCIL22001 10 Optional
Essential Enterprise UCIL22002 10 Optional
Displaying 10 of 29 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
Financial Reporting and Accountability BMAN21020A 20 Optional
Intermediate Management Accounting BMAN21040A 20 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
Topology MATH31051 10 Optional
Group Theory MATH32001 10 Optional
Commutative Algebra MATH32012 10 Optional
Coding Theory MATH32031 10 Optional
Hyperbolic Geometry MATH32052 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
Green's Functions, Integral Equations and Applications MATH34031 10 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
Actuarial Models MATH39511 10 Optional
Survival Analysis for Actuarial Science MATH39512 10 Optional
Contingencies 2 MATH39522 10 Optional
Risk Theory MATH39542 10 Optional
Displaying 10 of 42 course units for year 3

Course content for year 4

Course units for year 4

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 MATH40000 30 Mandatory
Corporate Governance in Context BMAN30211 10 Optional
Advanced Management Accounting BMAN31040 20 Optional
Martingales with Applications to Finance MATH37001 10 Optional
Computational Finance MATH40082 15 Optional
Fourier Analysis & Lebesgue Integration MATH41011 15 Optional
Differentiable Manifolds MATH41061 15 Optional
Noncommutative Algebra MATH42041 15 Optional
Representation and Characters of Groups MATH42062 15 Optional
Lie Algebras MATH42112 15 Optional
Galois Theory MATH42121 15 Optional
Algebraic Number Theory MATH42132 15 Optional
Computation and Complexity MATH43011 15 Optional
Set Theory MATH43022 15 Optional
Model Theory MATH43051 15 Optional
Dynamical Systems MATH44041 15 Optional
Introduction to Uncertainty Quantification MATH44071 15 Optional
Advanced Uncertainty Quantification MATH44082 15 Optional
Stability Theory MATH45031 15 Optional
Continuum Mechanics MATH45062 15 Optional
Transport Phenomena and Conservation Laws MATH45122 15 Optional
Approximation Theory and Finite Element Analysis MATH46052 15 Optional
Numerical Linear Algebra MATH46101 15 Optional
Numerical Optimisation & Inverse Problems MATH46132 15 Optional
Stochastic Calculus MATH47101 15 Optional
Brownian Motion MATH47112 15 Optional
Martingale Theory for Finance MATH47201 15 Optional
Statistical Inference MATH48001 15 Optional
Linear Models with Nonparametric Regression MATH48011 15 Optional
Time Series Analysis and Financial Forecasting MATH48032 15 Optional
Generalised Linear Models and Survival Analysis MATH48052 15 Optional
Multivariate Statistics MATH48061 15 Optional
Design and Analysis of Experiments MATH48082 15 Optional
Statistical Computing MATH48091 15 Optional
Markov Chain Monte Carlo MATH48122 15 Optional
Longitudinal Data Analysis MATH48132 15 Optional
Extreme Values and Financial Risk MATH48181 15 Optional
Statistical Modelling in Finance MATH48191 15 Optional
Stochastic Modelling in Finance MATH49102 15 Optional
Scientific Computing MATH49111 15 Optional
Representation and Characters of Groups MATH62062 15 Optional
Displaying 10 of 41 course units for year 4

Scholarships and bursaries

The Department of Mathematics offers scholarships for academically excellent students from the UK and around the world; contact the Department for more details.


The Department of Mathematics is based in the brand new, purpose built £40 million Alan Turing Building, set at the heart of the University Campus.  Students benefit from extensive facilities for computing and study, relaxation and refreshment, in an attractive, light and comfortable environment.  Computing: The Department of Mathematics has a number of computer clusters that run the standard software as well as powerful mathematical and statistical software, such as Matlab, Minitab and Mathematica.  All our students have free access to email and the internet.  Other larger clusters are available in the University libraries and clusters are situated in most Halls of Residence; most student rooms also have Ethernet connection.  Library: You will have access to the John Rylands University Library of Manchester, one of the largest and best-equipped libraries in the UK.  A special section of this library provides a short loan facility, where you can reliably obtain textbooks that are recommended for particular courses and borrow them on an overnight basis.  The Department of Mathematics also houses a mathematical library of more advanced books and other material used mainly by research students and staff.

Disability support

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