Course overview Mathematics BSc (Hons)
Mathematics is the universal language of today’s global economy.
Whether you are managing an investment portfolio, encrypting financial transactions, building the next smart-phone or predicting the path of a hurricane, you will be doing it with Mathematics.
Mathematics opens doors to the widest range of careers, because virtually all industries need graduates with mathematical skills. The confidence and knowledge you gain at City will open doors to a rewarding and satisfying career.
- Understand the universal nature of mathematics as a discipline that knows no borders or language barriers
- Master a wide range of mathematical topics and techniques, such as calculus, probability, linear algebra and mathematical physics
- Learn to apply abstract and logical mathematical methods to real-world problems
- Boost your employability with an optional paid one-year work placement – past students have secured placements at organisations such as Axa, Barclays, Bloomberg, Disney, Microsoft, Toyota and Warner Music
- Take special career development modules to understand mathematics’ essential role across all industries and the opportunities available to you.
Explore your interests through a research project chosen from a wide variety of mathematical topics – past projects have included everything from life-saving mathematics in medical imaging, to wallpaper patterns.
This course is accredited to meet the educational requirements of the Chartered Mathematician designation awarded by the Institute of Mathematics and its Applications.
This three-year BSc Mathematics degree is focused on applied mathematics. As you progress, you will have increasing choice and flexibility about what you choose to study.
Functions, Vectors and Calculus (30 credits)
Students entering the Mathematics Programmes have a range of mathematical backgrounds. This module enables students to create a common knowledge base of the basic elements of mathematics beyond traditional Mathematics A-level material.
Algebra (15 credits)
This module will introduce you to basic abstract algebra, which is concerned with studying abstract structures in mathematics, together with some basic algebraic concepts such as matrices and complex numbers.
Linear Algebra (15 credits)
This module extends the algebraic notions defined during the first year and introduces the important concepts of vector spaces and linear maps. These are used to solve various problems involving matrices.
Introduction to Probability and Statistics (15 credits)
This module will provide you with the fundamental tools in probability and statistics which are part of the basic knowledge required for mathematicians.
Logic and Set Theory (15 credits)
Mathematics students traditionally have problems communicating their ideas. This module will introduce the formal language used in mathematics and the notion of a proof.
Number Theory and Cryptography (15 credits)
This module will introduce you to the basic concepts of number theory, focussing on those methods used in modern cryptography. This provides a link between the abstract methods of pure mathematics and some practical applications.
Introduction to Modelling (15 credits)
This module presents a selection of real-world problems and shows students how to translate those problems into a precise mathematical model.
Skills, Careers and Employability Analysis for Mathematics students (5 credits)
The module will cover topics which will help you to get a well-defined and realistic view of yourself in relation to career options with a Mathematics degree and your personal skill set and aspirations.
Programming and Data Science for the Professions (15 credits)
This module introduces the basic concepts of computer programming and shows how programming can be applied to a variety of practical problems in a professional setting, including to analyse and visualise data.
Real and Complex Analysis (30 credits)
This module will introduce some of the basic ideas that were used in the process of setting down the rigorous foundations of calculus, and indicate why care is needed, as well as introducing students to basic concepts of complex analysis.
Vector Calculus (15 credits)
This module will introduce a variety of techniques for solving multivariable problems and ordinary differential equations that will be used extensively in many of the later modules in the programme.
Sequences and Series (15 credits)
This module will introduce the basic theory of sequences and series of numbers and functions.
Decision Analysis (15 credits)
The module aims to introduce mathematical solution techniques in the context of management decision making. The emphasis will be on developing theory to handle discrete problems.
Applied Mathematics (15 credits)
Provides a comprehensive setting for understanding real-world phenomena through the use of mathematical methods. Emphasis will be placed on the role of differential equations, variational calculus and conservation laws in understanding the real world.
Numerical Mathematics (15 credits)
This module will show you how to construct numerical solutions to a range of mathematical problems. Many software packages use numerical methods to solve problems, and having an advanced knowledge of such methods enables you to assess the effectiveness of such software.
Professional Development and Employability (5 credits)
Supports your professional development by providing you with resources, familiarises you with the recruitment process and supports you when applying for jobs.
Applications of Probability and Statistics (15 credits)
This module provides fundamental tools in probability and statistics which are part of the basic knowledge required for mathematicians.
Differential Equations (30 credits)
The aims of this module are to introduce and develop the classical theory of linear ordinary and partial differential equations, and to apply the theory to the heat equation and the Black-Scholes equation.
Group Project (15 credits)
This module aims to help students develop a variety of problem solving skills, such as individual motivation and initiative, the powers of critical analysis, creativity and innovation, which can be used to solve practical problems.
Advanced Complex Analysis (15 credits)
Introduces fundamental properties of functions of complex variables, Fourier and Laplace transforms, and several applications of conformal maps.
Operational Research (15 credits)
This module incorporates mathematics and scientific method in an approach to solving business problems. It introduces you to powerful optimisation techniques and looks at how they can be used to identify and solve practical problems encountered by managers.
Discrete Mathematics (15 credits)
This module will introduce a range of ideas in discrete mathematics, with equal emphasis on theory and applications.
Game Theory (15 credits)
This module aims to introduce the key mathematical concepts involved in the areas of game theory and evolutionary game theory, familiarize students with basic game-theoretical ideas and their mathematical formulation, and enable students to analyse a variety of games applied to different situations.
Dynamical Systems (15 credits)
This module briefly revisits some of the standard phase portrait methods encountered in the Dynamical Systems course at part 2 and extends these ideas, discussing in some detail centres, via the use of Liapunov functions, limit cycles and global phase portraits. The ideas of bifurcation and chaos are introduced via discrete systems.
Introduction to the Mathematics of Fluids (15 credits)
This module will enable you to apply mathematical analysis to the understanding of one aspect of the real world. It will show how complex real world phenomena can be modelled mathematically, and discuss some of the problems that arise when trying to analyse these models.
Introduction to Mathematical Physics (15 credits)
Introduces students to classical mechanics, electromagnetism, relativity and quantum theory. Emphasis will be placed on how the mathematical background the students have already acquired can be applied in the context of physics.
Mathematical Processes for Finance (15 credits)
This module will introduce the mathematical theory of sequential processes and related areas. It will also consider relevant concepts for numerical approximations to solutions illustrated with examples from finance.
Groups and Symmetry (15 credits)
This module is an introduction to group theory, and the application of group actions to various problems in algebra and combinatorics.
Mathematical Biology (15 credits)
This module introduces simple examples drawn from real life problems which will illustrate how mathematics can help us to understand the patterns of life in Nature.
Probability 2 (15 credits)
The module explains the properties of probability distributions, examines the theoretical basis for parameter estimation and hypothesis testing and demonstrates the use of software for data analyses.
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Teaching and assessment
The Mathematics BSc (Hons) at City is an inspiring degree, delivered in a supportive, energised environment by experienced, knowledgeable academic staff engaged in cutting-edge research.
Our teaching and learning methods are designed to develop your knowledge and enthusiasm for the subject while stimulating your engagement and participation in the learning process.
On this BSc Mathematics course, you will be supported and encouraged to take responsibility for your own learning and develop your academic self-confidence.
To ease the transition from secondary education to undergraduate study, we provide small weekly group tutorials in the first year of this BSc Mathematics programme.
These allow students the opportunity to ask questions and receive expert answers, as well as provide intensive individual assistance for core module topics. In the final year, you will carry out your own research project chosen from a wide variety of mathematical topics.
Past research projects have included everything from the mathematical theory of information and life-saving mathematics in medical imaging, through to wallpaper patterns and determining the number of guards required in an art gallery.
Through the environment that we create for your learning, like for many of our alumni, we are sure that the confidence and knowledge you will gain at City will open doors to a rewarding and satisfying career.
Assessment is based on examination and coursework. Marks are weighted in a 1:3:6 ratio for the three years of study to produce an overall aggregate.
Types of assessment
- Set exercises or coursework, which you take home and complete with the aid of your notes.
- Formal unseen written examinations every year.
- Class or online tests.
- Group assessments, such as written reports, also form the basis of assessment for some modules.
In the third year of your degree, a core module consists of a group project. The group is assessed by a group written report and an individual presentation on the project. Also, a small number of modules require students to give presentations.
Feedback on assessment
You will normally be provided with feedback within three weeks of the submission deadline or assessment date. This would normally include a provisional grade or mark. For end-of-module examinations or an equivalent significant task (e.g. an end of module project), feedback will normally be provided within four weeks.
The timescale for feedback on final-year projects or dissertations may be longer.
Percentage of the course assessed by coursework
The balance of assessment by examination, practical examination and assessment by coursework will to some extent depend on the optional modules you choose. The approximate percentage of the course assessment, based on 2019/20 entry is as follows:
Most contact hours will take the form of lectures, interactive sessions, practical workshops and small group classes, supported by a personal tutorial system. The number will decrease as you progress and you become more able to direct your own learning. Approximate study time based on 2019/20 entry is as follows:
Fees and funding
Fees for year 2022/23
The fees indicated are for undergraduate entry in the 2022/23 academic year only. Fees for future years may be subject to an inflationary increase, which is normally 2%.
- Fee waivers are available for this course.
- Means tested support is available for 2022/23 entry.
Some of our degrees may involve additional expenses which are not covered by your tuition fees. Find out more about additional expenses.
Mathematical skills are highly sought after in virtually every industry, as are logical and abstract thinking, problem solving, and the ability to model real-world phenomena.
This means our graduates are highly sought after. Some of our recent alumni have gone on to graduate roles at high-profile organisations, such as:
- JLT Group
- Ernst and Young.
Given City’s location and links to business, it is unsurprising that many graduates have been employed by large firms in the financial, industrial or retail sector. Others have gone into education, civil service, research and further study.
Students that complete a placement year have been found to be more likely to achieve higher grades, secure a graduate-level job and earn a higher salary.
Placements can offer the opportunity to contribute to real-world projects. Our students have previously secured placements and internships at organisations such as:
- GE Capital
- J.P. Morgan
- Warner Music.
The School of Science & Technology has its own dedicated placements team, the Corporate Relations & Employability Unit (CREU).
The CREU provides you with support and guidance in securing a relevant placement, through longstanding relationships with a diverse range of companies. The CREU also collaborates with our Careers Service to support you if you wish to take a summer internship at the end of an academic year.
How to apply
Applications for this course are now closed. Other courses are still available through Clearing.
Address: Universities and Colleges Admissions Service (UCAS), Rosehill, New Barn Lane, Cheltenham, Gloucestershire, GL52 3LZ
- from inside the UK 0871 468 0468
- from outside the UK +44 (0)871 468 0468
For callers with hearing difficulties:
- from inside the UK use the Text Relay service on 18001 0871 468 0468
- from outside the UK dial +44 151 494 1260 (text phone) and then ask the operator to dial 0871 468 0468.
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Your studies are supported by a team of committed and enthusiastic teachers and researchers, experts in their chosen field. On occasion we also work with external professionals to enhance your learning and appreciation of the wider subject.