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BSc Mathematics with Financial Mathematics / Course details

Year of entry: 2021

Course description

First Year BSc Mathematics with Scarlett and Hana

This very flexible single-honours 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 it is 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.

 A core of basic mathematics provides you with the fundamental mathematical knowledge and skills, and the basis for more advanced work later on. The core material is covered in the first three semesters, up to the mid-point of your second year. You develop your capacity to learn and apply mathematical ideas, to understand the significance and power of mathematics, and to acquire a thorough knowledge and understanding of those mathematical topics that any employer would expect of a mathematics graduate. After your first three semesters, you chose your lecture courses from a widening range of options in order that you can pursue whichever areas of mathematics most interest you. You can choose to do a final year project on a mathematical topic supervised by a member of staff.

Special features

  • Generous entrance scholarships are available.
  • 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. The placement happens after two years study, with the student returning after their placement year to take their third year here.  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 School. 

Teaching and learning

Most teaching takes the form of 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
Mathematical Workshop MATH10001 10 Mandatory
Foundations of Pure Mathematics A MATH10101 20 Mandatory
Calculus and Vectors A MATH10121 20 Mandatory
Probability 1 MATH10141 10 Mandatory
Linear Algebra A MATH10202 20 Mandatory
Calculus and Applications A MATH10222 20 Mandatory
Sequences and Series MATH10242 10 Mandatory
Introduction to Statistics MATH10282 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 MATH20041 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
Y2 Group Project MATH20062 10 Optional
Metric Spaces MATH20122 10 Optional
Calculus of Several Variables MATH20132 10 Optional
Algebraic Structures 1 MATH20201 10 Optional
Algebraic Structures 2 MATH20212 10 Optional
Introduction to Logic MATH20302 10 Optional
Fluid Mechanics MATH20502 10 Optional
Classical Mechanics MATH20512 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
Displaying 10 of 30 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
Martingales with Applications to Finance MATH37002 10 Mandatory
Financial Reporting and Accountability BMAN21020 20 Optional
Intermediate Management Accounting BMAN21040 20 Optional
Algebraic Structures 1 MATH20201 10 Optional
Double Project MATH30000 20 Optional
Mathematics Education MATH30002 10 Optional
Project (Semester One) MATH30011 10 Optional
Project (Semester 2) MATH30022 10 Optional
Fractal Geometry MATH31042 10 Optional
Topology MATH31052 10 Optional
Group Theory MATH32001 10 Optional
Commutative Algebra MATH32011 10 Optional
Coding Theory MATH32032 10 Optional
Hyperbolic Geometry MATH32051 10 Optional
Algebraic Geometry MATH32062 10 Optional
Number Theory MATH32072 10 Optional
Combinatorics and Graph Theory MATH32091 10 Optional
Mathematical Logic MATH33011 10 Optional
Applied Complex Analysis MATH34001 10 Optional
Green's Functions, Integral Equations and Applications MATH34032 10 Optional
Viscous Fluid Flow MATH35001 10 Optional
Wave Motion MATH35012 10 Optional
Elasticity MATH35021 10 Optional
Mathematical Biology MATH35032 10 Optional
Mathematics for a Finite Planet MATH35062 10 Optional
Symmetry in Geometry and Nature MATH35082 10 Optional
Matrix Analysis MATH36001 10 Optional
Numerical Analysis II MATH36022 10 Optional
Problem Solving by Computer MATH36032 10 Optional
Convex Optimization MATH36061 10 Optional
Martingales with Applications to Finance MATH37002 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
Displaying 10 of 39 course units for year 3

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: