Mathematics BSc (Hons)
BSc Hons Mathematics
Overview
If you enjoy solving problems, applying logic to complex issues, and want to learn a skill set valued by many employers, this BSc (Hons) Mathematics degree course is the perfect choice.
You’ll tackle a blend of mathematical theory and practical application, setting yourself up for a career in anything from finance and IT to marketing and government research.
Accredited by:
92% Graduates in work or further study (DLHE, 2017)
92% Overall student satisfaction (NSS, 2019)
Entry requirements
BSc (Hons) Mathematics degree entry requirements
Qualifications or experience
- 112-128 points to include a minimum of 2 A levels, or equivalent, including Mathematics.
See full entry requirements and other qualifications we accept
English language requirements
- English language proficiency at a minimum of IELTS band 6.0 with no component score below 5.5.
See alternative English language qualifications
We also accept other standard English tests and qualifications, as long as they meet the minimum requirements of your course.
If you don't meet the English language requirements yet, you can achieve the level you need by successfully completing a pre-sessional English programme before you start your course.
What you'll experience
On this course you'll:
- Choose modules that match your interests and career ambitions
- Cover topics like statistics, operational research and modelling
- Have access to our computing labs, harnessing powerful hardware and software to unpick complex mathematical problems
- Get training in advanced mathematical and statistical software, such as Mathematica, MAPLE, MATLAB, as well as industry standard statistical and operational research software
- Have the chance to get work experience in the community, such as assisting in local schools
Careers and opportunities
On this BSc maths degree course, you'll develop an understanding of how mathematics contributes to our society, including in designing and building structures, and developing new technology. This gives you the understanding and practice to significantly improve your career prospects.
Importantly, you'll get the opportunity to experience working in industry on a professional placement. When you apply for jobs, this gives you an advantage over other graduates, who may understand theory but won't have the experience of applying their learning to a working environment.
When you finish the course, our Careers and Employability service can help you find a job that puts your skills to work. You can get help, advice and support from our Careers and Employability service for up to 5 years after you leave the University, as you advance in your career.
What can you do with a maths degree?
With a degree in mathematics, you could go on to work in areas including:
- advertising and marketing
- business and operational research
- civil service
- data science
- education
- engineering
- finance and banking
- insurance and risk
- IT and computers
- medicine and health
- the natural and life sciences
What jobs can you do with a maths degree?
Roles you could take on as a maths graduate include:
- acoustic consultant
- chartered accountant
- data analyst/scientist
- financial manager
- investment analyst
- maths research scientist
- meteorologist
- quantity surveyor
- teacher in a secondary school
- software engineer/tester
- statistician
What's the future demand for maths graduates?
As a graduate of BSc Maths, you'll be in high demand. Employers are looking for graduates with logical, problem-solving abilities, especially employers in the expanding technology, data and machine learning industries.
These employers will include the NHS, local and central government, schools and colleges, and pharmaceutical, IT, engineering, insurance companies and finance companies.
A study by the Council for the Mathematical Sciences reported that 2 million people work in roles that require a maths qualification and that this figure is growing fast. The study goes on to say that there are wide gaps in mathematical knowledge and skills across many industries.
What you'll study on this BSc (Hons) Mathematics degree
Each module on this course is worth a certain number of credits.
In each year, you need to study modules worth a total of 120 credits. For example, 4 modules worth 20 credits and 1 module worth 40 credits.
Year 1
Core modules
What you’ll do
You'll explore ways in which calculus underpins much of modern science.
What you’ll learn
When you complete this module successfully, you'll be able to:
- Compute limits, derivatives, and integrals of functions
- Use differential calculus to study the behaviour of functions
- Use integral calculus to compute areas
- Determine convergence of infinite series
- Use infinite series in differentiation and integration
Teaching activities
- 23 x 2-hour lectures
- 23 x 1-hour seminars
Independent study time
We recommend you spend at least 131 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set exercise (40% of final mark)
- an exam (10% of final mark)
- a 90-minute written exam (50% of final mark)
What you’ll learn
When you complete this module successfully, you'll be able to:
- Extract the algorithms in simple repetitive tasks
- Implement algorithms in a high-level programming language (Python)
- Analyse simple algorithms and their convergence properties
- Solve calculus and algebra problems numerically
Teaching activities
- 15 x 2-hour lectures
- 23 hours of practical classes and workshops
Independent study time
We recommend you spend at least 147 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set coursework exercise (15% of final mark)
- a set of 30-minute in-class tests (35% of final mark)
- a 1-hour written exam (50% of final mark)
What you'll do
You'll cover topics including Gaussian elimination, matrices, vector spaces and eigentheory. You'll also meet applications such as differential equations, conic sections, graphs and networks.
What you'll learn
When you complete this module successfully, you'll be able to:
- Solve a linear system of equations, including the case of infinitely many solutions
- Describe the solution of linear systems in geometrical terms such as lines and planes
- Develop the algebra of matrices and vectors including determinants and dot products
- Find the eigenvalues and eigenvectors of a matrix
- Use matrices to represent and interpret linear transformations
- Analyse the vector space properties (such as basis and dimension) of certain sets
Teaching activities
- 46 x 1-hour Lectures
- 23 x 1-hour Seminars
Independent study time
We recommend you spend at least 131 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- 3x 40-minute in-class tests (30% of final mark)
- 2x 10-minute oral assessment and presentations (0% of final mark)
- a 2-hour written exam (70% of final mark)
What you'll do
You'll study different types of proof, learn to identify the circumstances in which they are useful, and practise the skills needed for finding proofs. You'll also learn about logic, set theory, complex numbers and elementary properties of integers.
What you'll learn
When you complete this module successfully, you'll be able to:
- Construct clear, logical arguments demonstrating the difference between experimental evidence and proof
- Manipulate elementary mathematical constructs and complex numbers
- Demonstrate an understanding of cryptographic systems and techniques by enciphering and deciphering messages
Teaching activities
- 23 x 2-hour lectures
- 23 x 1-hour seminars
Independent study time
We recommend you spend at least 131 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 90-minute set exercise exam (50% of final mark)
- a 90-minute written exam (50% of final mark)
- a 10-minute oral assessment and presentation (0% of final mark, pass mark of 40)
What you'll do
You'll cover models such as linear difference equations, fractals and multivariable problems, and reflect on their applications to subjects including biology, ecology, epidemiology and physics/astronomy.
What you'll learn
When you complete this module successfully, you'll be able to:
- Formulate mathematical models using algebraic equations/inequalities, difference equations and ordinary differential equations (ODEs)
- Formulate and solve linear programming models using graphical methods
- Solve and interpret the solutions to linear 1st and 2nd order difference equations, e.g. in biology and economics
- Solve and interpret the solutions to 1st and 2nd order ODEs with application to real world problems, e.g. in mechanics
- Demonstrate familiarity with numerical techniques and their applications to mathematical modelling
Teaching activities
- 23 x 2-hour lectures
- 11 hours of practical classes and workshops
Independent study time
We recommend you spend at least 143 hours studying independently. This is around 8.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set exercise using the Maple TA software (40% of final mark)
- a 90-minute written exam (60% of final mark)
What you'll do
You'll apply your understanding of statistical theory to techniques used widely in business and social science.
What you'll learn
When you complete this module successfully, you'll be able to:
- Interpret, summarise and present data clearly using a variety of methods
- Identify and apply standard probability models
- Test hypotheses about population parameters (means, proportions, correlations) using inferential methods
- Fit and test simple linear regression models to data
- Use appropriate software to analyse data
Teaching activities
- 23 x 2-hour lectures
- 20 hours of tutorials
- 18 hours of practical classes and workshops
Independent study time
We recommend you spend at least 116 hours studying independently. This is around 7 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- an 80-minute set exercise exam (20% of final mark)
- a set exercise (20% of final mark)
- a 2-hour written exam (60% of final mark)
Year 2
Core modules
What you'll do
You'll work in a group to select a problem, then produce and present a report on your solutions.
What you'll learn
When you complete this module successfully, you'll be able to:
- Identify and apply mathematical techniques to solve a problem
- Use high-level software to model and analyse problems
- Work in and lead a team
- Communicate mathematical findings in written and oral form
- Identify and demonstrate your skills, priorities and constraints in the context of career decision-making
Teaching activities
- 16 x 1-hour lectures
- 16 x 1-hour seminars
- 30 hours of supervised time in studio/workshop
Independent study time
We recommend you spend at least 138 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- 3 x 40-minute in-class tests (30% of final mark)
- 3 x courseworks (20% of final mark, each)
- 1 x 10-minute oral presentations (10% of final mark)
What you’ll do
You'll begin exploring Fourier series.
To choose this module, you should have taken Mathematical Foundations and Calculus I core modules, and be familiar with the basics of calculus.
What you’ll learn
When you complete this module successfully, you'll be able to:
- Determine the gradient, divergence, curl, and expressions involving these operators
- Evaluate line, surface and volume integrals
- Apply the integral theorems of vector calculus
- Find the Fourier series of a function
- Solve linear ordinary differential equations using standard analytical techniques including complementary function plus particular integral, series solutions and Laplace transform
- Interpret the solution of linear ordinary differential equations
Teaching activities
- 46 hours of lectures
- 23 x 1-hour seminars
Independent study time
We recommend you spend at least 131 hours studying independently. This is around 4 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 50-minute set exercise exam (20% of final mark)
- a set coursework exercise (20% of final mark)
- a 2-hour written exam (60% of final mark)
What you'll do
To choose this module, you should have taken the Mathematical Foundations and Calculus I core modules in year 1.
What you'll learn
When you complete this module successfully, you'll be able to:- Construct simple proofs and counter examples
- Give clear definitions and state basic theorems of analysis
- Illustrate simple complex mappings in the complex plane
- Demonstrate your understanding of the properties of standard functions of complex variables (including continuity, differentiability, series representation and integration)
- Apply the techniques of complex analysis to evaluate derivatives and integrals, and to solve appropriate problems
Teaching activities
- 22 x 2-hour lectures
- 22 x 1-hour tutorials
Independent study time
We recommend you spend at least 134 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set coursework exercise (50% of final mark)
- a 90-minute set exercise exam (50% of final mark)
Optional modules
What you'll do
To choose this module, you need to take the Mathematical Foundations and Linear Algebra modules in year 1, to gain knowledge of complex numbers and linear algebra (particularly vector spaces, bases, dimension and matrices) and experience in mathematical proofs.
What you'll learn
When you complete this module successfully, you'll be able to:
- Apply appropriate terminology and techniques involving different algebraic structures to their solutions
- Construct simple proofs and counter examples for a wide set of given mathematical propositions
- Give clear definitions and statements of basic results in Abstract Algebra
- Conceptualise the notion of a group by using the group axioms to construct relevant proofs and by describing structural properties
- Conceptualise the notion of a group and its categorical properties by constructing proofs of structural properties
- Display your familiarity with sets, general abstract objects, and their correspondences
Teaching activities
- 24 x 2-hour lectures
- 24 x 1-hour tutorials
Independent study time
We recommend you spend at least 128 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a coursework exercise (50% of final mark)
- a 2-hour written exam (50% of final mark)
What you’ll do
You'll get the opportunity to put into practice your learning from the first two years of the degree and improve your chances of securing a professional level role upon graduation.
What you’ll learn
When you complete this module successfully, you'll be able to:
- Evaluate your learning, personal development and future career opportunities
- Describe tasks undertaken and responsibilities held in the course of (self) employment
- Differentiate your employability as graduates, as a result of the placement experience
Teaching activities
- 5 x 1-hour seminars
- 195 hours of placement
Independent study time
N/A
Assessment
On this module, you'll be assessed through a 4,000-word portfolio project (100% of final mark).
What you'll do
You'll enter at the appropriate level for your existing language knowledge. If you combine this module with language study in your first or third year, you can turn this module into a certificated course that is aligned with the Common European Framework for Languages (CEFRL).
What you'll learn
When you complete this module:
- You'll have improved your linguistic skills in Arabic, British Sign Language, Italian, Japanese, Mandarin, French, German or Spanish
- You'll be prepared for Erasmus study abroad
Teaching activities
- 12 x 2-hour seminars
Independent study time
We recommend you spend at least 176 hours studying independently. This is around 10 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- coursework (100% of final mark)
What you'll do
You'll develop practical programming skills (Python) and apply them creatively, using industry standard computer tools.
To choose this module, you need to show knowledge of calculus and stochastic methods.
What you'll learn
When you complete this module successfully, you'll be able to:
- Model and solve financial problems mathematically
- Simulate and analyse financial scenarios using computer tools
- Apply advanced analysis techniques to model financial market
Teaching activities
- 16 x 2-hour lectures
- 12 x 2-hour practical classes & workshops
Independent study time
We recommend you spend at least 144 hours studying independently. This is around 8.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set coursework exercise (20% of final mark)
- a set of 1-hour in-class tests (20% of final mark)
- a 2-hour written exam (60% of final mark)
What you'll do
You'll then study linear and nonlinear differential and difference equations in the context of methods and techniques of dynamical systems.
What you'll learn
When you complete this module successfully, you'll be able to:
- Model simple mechanical systems (for example a double pendulum) in terms of coordinates and velocities
- Derive a special function known as a ""Langrarian"", from which the equations of motion (a set of differential equations) are derived
- Simulate/solve these equations, taking advantage of any symmetry in the model, to predict the behaviour of the system
- Broaden the context of the study of differential/difference equations in general, both linear and nonlinear
- Use special techniques to describe the qualitative behaviour of the solutions to these equations
Teaching activities
- 23 x 2-hour lectures
- 23 x 1-hour seminars
Independent study time
We recommend you spend at least 131 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- 2 x coursework exercises (15% of final mark, each)
- a 2-hour written exam (70% of final mark)
What you'll learn
When you complete this module successfully, you'll be able to:
- Use multiple methods to solve systems of linear and nonlinear equations
- Employ techniques for solving ordinary differential equations
- Carry out Gaussian quadrature
- Implement numerical methods in a high-level programming language such as Python or Matlab
Teaching activities
- 44 hours of lectures
- 5 x 1-hour tutorials
- 17 hours of practical classes and workshops
Independent study time
We recommend you spend at least 134 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a coursework exercise (20% of final mark)
- a 2-hour exam (80% of final mark)
What you'll do
The knowledge you'll develop will help in future operational research topics such as simulation, planning, scheduling, forecasting, supply chain management and advanced modelling.
What you'll learn
When you complete this module successfully, you'll be able to:
- Model operational research problems
- Formulate and solve linear, nonlinear and dynamic programming models
- Formulate and solve game theory models
Teaching activities
- 18 x 2-hour lectures
- 10 x 1-hour tutorials
Independent study time
We recommend you spend at least 154 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 60-minute in-class test (30% of final mark)
- a 2-hour examination (70% of final mark)
What you'll do
You'll also apply your understanding of statistical methods to quality control systems. To choose this module, you need to take the Statistical Theory and Methods I module in year 1, or equivalent.
What you'll learn
When you complete this module successfully, you'll be able to:
- Formulate problems in statistical terms, apply appropriate analyses and interpret the results in terms of the problem
- Recognise, analyse and interpret results from simple designed experiments using ANOVA
- Fit, test and interpret multiple linear regression models
- Estimate and make inferences about parameters of statistical models using a variety of approaches
- Analyse bi-variate probability distributions
- Perform transformations of uni-variate and bi-variate random variables
Teaching activities
- 22 x 2-hour lectures
- 23 hours of practical classes and workshops
Independent study time
We recommend you spend at least 131 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 40-minute set exercise exam (10% of final mark)
- a 3-week set coursework exercise (30% of final mark)
- a 2-hour set exercise exam (60% of final mark)
What you'll do
You'll develop your understanding in celestial coordinate systems, telescope design, comparative planetology, stellar evolution, the formation and evolution of galaxies, and the dynamics and matter content Universe.
What you'll learn
When you complete this module successfully, you'll be able to:
- Derive and apply mathematical equations to solve astronomical problems
- Identify and apply physical principles underlying the properties and behaviour of planets, stars and galaxies
- Make astronomical observations and analyse the results with appropriate software
Teaching activities
- 12 x 2-hour lectures
- 12 x 2-hour seminars
- 12 x 2-hour practical classes and workshops
- 18 hours of external visits
Independent study time
We recommend you spend at least 110 hours studying independently. This is around 6.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- an 80-minute set practical exercise (50% of final mark)
- a 90-minute written exam (50% of final mark)
- an 18-hour practical skills coursework assessment (pass/fail)
Year 3
Core modules
What you'll do
You'll study solution techniques such as the heat conduction (or diffusion) equation, Laplace's equation, wave equations, and classifications of elliptic, parabolic and hyperbolic equations.
What you'll learn
When you complete this module successfully, you'll be able to:
- Classify partial differential equations and boundary conditions
- Solve partial differential equations using the method of characteristics, transform methods, numerical methods, separation of variables and Fourier series
Teaching activities
- 22 x 2-hour Lectures
- 11 x 2-hour Seminars
Independent study time
We recommend you spend at least 134 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 2-hour set exercise exam (100% of final mark)
Optional modules
What you'll do
You'll develop a foundation to support mathematical elements in your other modules as you work on practical examples. To choose this option, you need to take the Algebraic Structures and Discrete Mathematics module in year 2, or show basic knowledge about groups and other algebraic structures.
What you'll learn
When you complete this module successfully, you'll be able to:
- Construct proofs and counter examples for multiple mathematical propositions.
- Present your results and proofs to a wide audience on a whiteboard to practice exposition skills and master the subject matter
- Conceptualise the notion of a ring, and give clear definitions and statements of basic results involving rings
- Recover such basic results for integers and polynomials as the division algorithm or Bézout's identity
- Interpret the notion of a module or an algebra
- Demonstrate understanding of basic category theory that's at the heart of everything described above
Teaching activities
- 12 x 2-hour lectures
- 24 x 2-hour tutorials
Independent study time
We recommend you spend at least 128 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- 2 x 1,000-word coursework exercises (33% of final mark, each)
- a 1,000-word coursework exercise (34% of final mark)
What you'll do
You'll define the notion of 'distance', allowing for discussion of notions such as limit and of continuity for functions between spaces. Because of their generality, you'll study these definitions and theorems in an abstract setting. The ideas you study on this module will be further extended to a consideration of topological spaces, in which open sets are the key ingredient in continuity.
What you'll learn
When you complete this module successfully, you'll be able to:
- Construct simple proofs and counter examples
- Give clear definitions and statements of basic theorems of metric and topological spaces
- Analyse examples of metric and topological spaces
Teaching activities
- 34 hours of lectures
- 12 hours of tutorials
Independent study time
We recommend you spend at least 154 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 3-hour written exam (100% of final mark)
What you'll do
You'll learn about data envelopment analysis and decision analysis, explore realistic case studies, and work toward optimal solutions for computationally difficult problems.
To choose this module, you need to take the Statistical Theory and Methods I module in year 1.
What you'll learn
When you complete this module successfully, you'll be able to:
- Use computer software to formulate and solve linear, integer programming models
- Formulate data envelopment analysis models
- Formulate and solve multiple decision analysis models
- Understand and use the discrete-event simulation process
- Interpret and report on the results of solutions of your models and processes
Teaching activities
- 29 hours of lectures
- 12 x 30-minute tutorials
- 13 hours of practical classes and workshops
- 3 x 1-hour lectures
Independent study time
We recommend you spend at least 149 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 2,000-word coursework exercise (50% of final mark)
- a 90-minute written exam (50% of final mark)
What you'll do
You'll focus on equity options and portfolio construction, exploring no-arbitrage pricing, the Black-Scholes partial differential equation, and hedging. To choose this module, you need to take the Calculus II and Mathematics for Finance modules in year 2 or an equivalent module covering basic interest rate structures and elementary stochastic processes.
What you'll learn
When you complete this module successfully, you'll be able to:
- Define and distinguish between various types of derivative contracts, deduce their future payoffs and analyse investment portfolios created from them
- Prove standard relations (parity) between the prices of different contracts under the assumption of fairness (no-arbitrage)
- Derive the famous Black-Scholes partial differential equation and learn how to solve it for various asset types
- Use stochastic processes to price options using risk-neutral valuation via change of measure and expectation
- Perform partial differential equation changes of variables and other solution methods for certain exotic options
- Put theory into practice by implementing numerical schemes on the computer
Teaching activities
- 11 x 1-hour tutorials
- 11 x 3-hour lectures
- 11 hours of practical classes and workshops
- 5 hours of guided independent study
Independent study time
We recommend you spend at least 156 hours studying independently. This is around 9.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 1,500-word coursework exercise (40% of final mark)
- a 2-hour written exam (60% of final mark)
What you'll do
To choose this module, Physics students need to take the Mathematical Physics (level 5) and Introduction to Modern Physics and Astrophysics (level 5) modules. To take this module, Maths students need to take the Applied Mathematics (level 5) module.
What you'll learn
When you complete this module successfully, you'll be able to:
- Analyse the 4-dimensional spacetime formulation of Special Relativity
- Carry out basic calculations in tensor algebra and calculus, and apply these to physical problems
- Apply Einstein field equations to the calculation of the simplest exact and approximate solutions for relativistic stars and black holes and in cosmology, as well as in the weak field regime and for gravitational waves
- Analyse a problem and associate it with the physical and mathematical principle of General Relativity
- Apply the specific mathematical techniques of General Relativity to solve exercises and problems, conceptualising and generalising from previously seen problems
- Discuss the use of physical and mathematical principles and hypotheses in the solution of exercises and problems
Teaching activities
24 x 2-hour lectures
Independent study time
We recommend you spend at least 152 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a coursework portfolio (60% of final mark)
- a 2-hour written exam (40% of final mark)
What you'll do
You'll consider the physics of stars, black holes and galaxies, and their formation mechanisms. To choose this module, you need to take the Mathematical Physics, and Introduction to Modern Physics and Astrophysics module.
What you'll learn
When you complete this module successfully, you'll be able to:
- Analyse fundamental physical processes in astrophysics, and apply them to the physics of stars, black holes and galaxies in multiple contexts
- Apply the physics of gravitational collapse to solve problems related to the formation of stars and galaxies, and compact objects
- Demonstrate your understanding of fundamental nuclear reactions and energetic balance, and evaluate the energetics of stars and galaxies
- Demonstrate your understanding of the quest for dark matter in galaxy formation and evolution and evaluate the observational evidence
Teaching activities
- 24 x 2-hour lectures
Independent study time
We recommend you spend at least 152 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 2-hour written exam (100% of final mark)
What you'll do
You'll study perturbation methods and Turing instability, and the software packages to apply them to contexts including biology, chemistry, physics and mathematics.
To choose this module, you need to take the Mechanics and Dynamics module in year two.
What you'll learn
When you complete this module successfully, you'll be able to:
- Recognise the solution behaviour of 1 to 3-dimensional nonlinear systems (fixed points, stability properties and bifurcation scenarios)
- Classify regular and chaotic regimes by applying analytical methods based on perturbation theory
- Perform numerical studies related to the long-term behaviour of realistic problems
Teaching activities
- 17 x 2-hour lectures
- 10 x 1-hour tutorials
- 4 hours of guided independent study
Independent study time
We recommend you spend at least 156 hours studying independently. This is around 9.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- 3 x set exercises (30% of final mark)
- a 2-hour written exam (70% of final mark)
What you'll do
You'll manage your own plan, from outline to dissertation, with supervision from relevant lecturers.
What you'll learn
When you complete this module successfully, you'll be able to:
- Locate and critically review relevant literature for your topic
- Synthesise information and ideas from multiple sources
- Write a formal, well-structured dissertation, including an abstract and appropriate conclusions
- Manage a project
- Evaluate and discuss your work
Teaching activities
- 18 hours of project supervision
Independent study time
We recommend you spend at least 182 hours studying independently. This is around 11 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 10-minute oral assessment and presentation (10% of final mark)
- a dissertation (90% of final mark) - approximately 35 pages including appendices, formulas, plots, and code
What you'll do
You'll produce projects that work toward solving open-ended problems, and present your work to other students.
What you'll learn
When you complete this module successfully, you'll be able to:
- Appraise and compare relevant journal articles and research papers
- Critically evaluate theoretical approaches to specific problems
- Apply current mathematical software to advanced numerical techniques
- Independently research a mathematical topic
- Communicate information and arguments effectively
Teaching activities
- 23 x 2-hour lectures
Independent study time
We recommend you spend at least 154 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- 3 x 1,000-word coursework exercises (30% of final mark, each)
- a 10-minute oral assessment and presentation (10% of final mark)
What you'll do
You'll learn about game theory and its application in logistics, network flow, revenue and inventory management, and scheduling. To choose this module you need to show a general knowledge of Operational Research techniques.
What you'll learn
When you complete this module successfully, you'll be able to:
- Design and solve game theory models and study their efficiency in logistics
- Formulate and solve network flow and revenue management problems
- Formulate and solve inventory management, planning and scheduling models
Teaching activities
- 16 x 2-hour lectures
- 12 x 1-hour tutorials
Independent study time
We recommend you spend at least 154 hours studying independently. This is around 9.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 1-hour exam (30% of final mark)
- a 2-hour exam (70% of final mark)
What you'll do
You'll explore advanced regression modelling, modern statistical learning methods, the use of open source statistical tools, and forecasting methodologies. To choose this module, you need basic knowledge of probability, calculus and linear algebra.
What you'll learn
When you complete this module successfully, you'll be able to:
- Apply statistical learning techniques to business problems, and interpret your results
- Use Python and/or R language to apply statistical learning techniques
- Demonstrate understanding of the bias variance trade-off and cross validation
- Fit and test general linear models to numerical and categorical data
- Fit a variety of predictive models to real world data
- Demonstrate understanding of advanced techniques such as regularisation, nonlinear models and clustering
Teaching activities
Scheduled Activities (Hours)
- 24 x 2-hour lectures
- 24 hours of practical classes and workshops
Independent study time
We recommend you spend at least 128 hours studying independently. This is around 8 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set of practical coursework problems (40% of final mark)
- a 90-minute written exam (60% of final mark)
What you'll do
You'll explore multiple procedures for data analysis, use the statistical language and software environment R to model data, and examine the strengths and weaknesses of various study designs. To choose this module, you need to take the Statistical Theory and Methods I module in year 1.
What you'll learn
When you complete this module successfully, you'll be able to:
- Estimate population parameters using a variety of sampling strategies
- Formulate the principles relating to questionnaire design and validation
- Employ a variety of multivariate techniques
- Formulate and employ statistical methods commonly used in the study of epidemiology
- Conceptualise the basic principles underpinning the design and analysis of clinical trials
- Construct lifetables and compare survival patterns in population subgroups
Teaching activities
- 38 hours of lectures
- 6 x 2-hour labs with R
Independent study time
We recommend you spend at least 150 hours studying independently. This is around 9 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a coursework exercise (40% of final mark) - a set of exercises to solve partly using R
- a 2-hour exam (60% of final mark)
What you'll do
You'll apply these to subjects such as earthquakes, disease spread, financial markets or population dynamics, and demonstrate your understanding of the wider applications of mathematics.
What you'll learn
When you complete this module successfully, you'll be able to:
- Apply distributions of random discrete and continuous random variables
- Determine the probability of the extinction of branching processes
- Solve the gambler's ruin problem
- Solve partial differential equations that arise in birth-death processes
- Apply appropriate techniques to analyse continuous time stochastic processes
Teaching activities
- 17 x 2-hour of lectures
- 12 x 1-hour tutorials
Independent study time
We recommend you spend at least 154 hours studying independently. This is around 9.5 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a 3-hour written exam (100% of final mark)
What you'll do
Over ten half-days, you'll be mentored by a maths teacher as you gain experience of teaching mathematics, leading special projects and offering classroom support. To choose this module, you need to show you know the fundamental concepts of basic probability, calculus and linear algebra.
What you'll learn
When you complete this module successfully, you'll be able to:
- Demonstrate your understanding of teaching mathematics, and of educational theories and debates
- Work in a challenging and unpredictable working environment
- Communicate difficult principles or concepts, whether you're speaking one-to-one or to an audience
- Reflect on stereotypes of mathematics and mathematicians, and how to combat them
Teaching activities
- 9 x 2-hour practical classes and workshops
- 20 hours of placement
Independent study time
We recommend you spend at least 182 hours studying independently. This is around 11 hours a week over the duration of the module.
Assessment
On this module, you'll be assessed through:
- a set coursework exercise (100% of final mark)
We use the best and most current research and professional practice alongside feedback from our students to make sure course content is relevant to your future career or further studies.
Therefore, some course content may change over time to reflect changes in the discipline or industry and some optional modules may not run every year. If a module doesn’t run, we’ll let you know as soon as possible and help you choose an alternative module.
The course is really interesting and the lecturers are fantastic – I completed a module based on mathematical ciphers, which was a lot of fun.
How you're assessed
You’ll be assessed through:
- examinations
- written coursework
- multiple-choice tests
- presentations
- mini projects
- a major piece of supervised independent work
You’ll be able to test your skills and knowledge informally before you do assessments that count towards your final mark.
You can get feedback on all practice and formal assessments so you can improve in the future.
The way you’re assessed may depend on the modules you select. As a guide, students on this course last year were typically assessed as follows:
- Year 1 students: 65% by written exams and 35% by coursework
- Year 2 students: 58% by written exams and 42% by coursework
- Year 3 students: 68% by written exams, 2% by practical exams and 30% by coursework
Placement year
After your second year, you can do an optional work placement year to get valuable longer-term work experience in the industry.
Previous students have been on placement with household names, including:
- IBM
- L’Oréal
- GlaxoSmithKline (GSK)
- Transport for London
We’ll help you secure a work placement that fits your aspirations. You’ll get mentoring and support throughout the year.
Work experience and career planning
To give you the best chance of securing a great job when you graduate, our Careers and Employability service can help you find relevant work experience during your course.
We can help you identify placements, internships, and voluntary opportunities that will complement your studies and make you more employable when you graduate.
Find out what Josephine loves about studying BSc (Hons) Mathematics at University of Portsmouth.
Teaching
Teaching methods on this course include:
- lectures
- seminars
- tutorials
- computer labs
- project work
You can access all teaching resources on Moodle, our virtual learning environment, from anywhere with a Web connection.
How you'll spend your time
One of the main differences between school or college and university is how much control you have over your learning.
At university, as well as spending time in timetabled teaching activities such as lectures, seminars and tutorials, you’ll do lots of independent study with support from our staff when you need it.
A typical week
We recommend you spend at least 35 hours a week studying for your BSc (Hons) Mathematics degree. In your first year, you’ll be in timetabled teaching activities such as lectures, seminars, practical classes and workshops for about 17 hours a week. The rest of the time you’ll do independent study such as research, reading, coursework and project work, alone or in a group with others from your course. You'll probably do more independent study and have less scheduled teaching in years 2 and 3, but this depends on which modules you choose.
Most timetabled teaching takes place during the day, Monday to Friday. Optional field trips may involve evening and weekend teaching or events. There’s usually no teaching on Wednesday afternoons.
Term times
The academic year runs from September to early June with breaks at Christmas and Easter. It's divided into 2 teaching blocks and 2 assessment periods:
- September to December – teaching block 1
- January – assessment period 1
- January to May – teaching block 2 (includes Easter break)
- May to June – assessment period 2
Extra learning support
The amount of timetabled teaching you'll get on your degree might be less than what you're used to at school or college, but you'll also get face-to-face support from teaching and support staff when you need it. These include the following people and services:
Personal tutor
Your personal tutor helps you make the transition to independent study and gives you academic and personal support throughout your time at university.
As well as regular scheduled meetings with your personal tutor, they're also available at set times during the week if you want to chat with them about anything that can't wait until your next meeting.
Learning support tutors
You'll have help from a team of faculty learning support tutors. They can help you improve and develop your academic skills and support you in any area of your study in one-on-one and group sessions.
They can help you:
- master the mathematics skills you need to excel on your course
- understand engineering principles and how to apply them in any engineering discipline
- solve computing problems relevant to your course
- develop your knowledge of computer programming concepts and methods relevant to your course
- understand and use assignment feedback
Laboratory support
All our labs and practical spaces are staffed by qualified laboratory support staff. They’ll support you in scheduled lab sessions and can give you one-to-one help when you do practical research projects.
Academic skills support
As well as support from faculty staff and your personal tutor, you can use the University’s Academic Skills Unit (ASK).
ASK provides one-to-one support in areas such as:
- Academic writing
- Note taking
- Time management
- Critical thinking
- Presentation skills
- Referencing
- Working in groups
- Revision, memory and exam techniques
If you have a disability or need extra support, the Additional Support and Disability Centre (ASDAC) will give you help, support and advice.
Library support
Library staff are available in person or by email, phone or online chat to help you make the most of the University’s library resources. You can also request one-to-one appointments and get support from a librarian who specialises in your subject area.
The library is open 24 hours a day, every day, in term time.
Maths and stats support
The Maths Café offers advice and assistance with mathematical skills in a friendly, informal environment. You can come to our daily drop-in sessions, develop your maths skills at a workshop or use our online resources.
Support with English
If English isn't your first language, you can do one of our English language courses to improve your written and spoken English language skills before starting your degree. Once you're here, you can take part in our free English for Academic Purposes programme to improve your English further.
Course costs
Tuition fees (2020 start)
- UK/EU/Channel Islands and Isle of Man students – £9,250 per year (may be subject to annual increase)
- International students – £15,100 per year (subject to annual increase)
Additional course costs
These course-related costs aren’t included in the tuition fees. So you’ll need to budget for them when you plan your spending.
Additional costs
Our accommodation section shows your accommodation options and highlights how much it costs to live in Portsmouth.
You’ll study up to 6 modules a year. You may have to read several recommended books or textbooks for each module.
You can borrow most of these from the Library. If you buy these, they may cost up to £60 each.
We recommend that you budget £75 a year for photocopying, memory sticks, DVDs and CDs, printing charges, binding and specialist printing.
If your final year includes a major project, there could be cost for transport or accommodation related to your research activities. The amount will depend on the project you choose.
Apply
How to apply
To start this course in 2020, apply through UCAS. You’ll need:
- the UCAS course code – G100
- our institution code – P80
If you’d prefer to apply directly, use our online application form.
You can start your application now and submit it later if you want.
You can also sign up to an Open Day to:
- tour our campus, facilities and halls of residence
- speak with lecturers and chat with our students
- get information about where to live, how to fund your studies and which clubs and societies to join
If you're new to the application process, read our guide on applying for an undergraduate course.
How to apply from outside the UK
If you're from outside of the UK, you can apply for this course through UCAS or apply directly to us (see the 'How to apply' section above for details). You can also get an agent to help with your application. Check your country page for details of agents in your region.
To find out what to include in your application, head to the how to apply page of our international students section.
If you don't meet the English language requirements for this course yet, you can achieve the level you need by successfully completing a pre-sessional English programme before you start your course.
Admissions terms and conditions
When you accept an offer to study at the University of Portsmouth, you also agree to our terms and conditions as well as the University’s policies, rules and regulations. You should read and consider these before you apply.
- Subject area
- Mathematics and Physics